Abstract group data - 16384.ji

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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': '32.51', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[134155209864517598069833, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [289907253441132926575868, 20636876911559975149448, 1036778075756967100072, 630481299985556970923, 201304147925757762695055, 270802348522645370296076, 331398935325149847076323, 472189473048422615612437, 194571726874309586624528, 20594774503926809879280, 195392287463929738757667, 353027640065206021496, 20287320450245090697005, 20636358675085577428336], [462816616736949567816163, 20636876911559975149448, 202004367357067512619442, 20916750667426707620769, 201304147925757762695055, 556056216489877423133227, 486321365733836302468802, 323820677096353157197813, 473046750937926346146556, 309721983695914418208, 486322269224505508382413, 353027640065206021496, 499164244059368153324286, 182441767239810358568120], [277546382767234134686710, 20636358675085577428336, 21271247533426221704528, 954691096569542647634, 201304147925757762695055, 146036283964820042887792, 331399447893019765646283, 472189473048422615612437, 195111959537174594965592, 182400375893275925306121, 195392806413256357434531, 353027640065206021496, 182141891792500833549663, 20636876911559975149448], [556056216489877423133227, 317373584938140324519542, 168234546651742664756616, 955856707863374869776, 201304147925757762695055, 462816616736949567816163, 467401497381193429991592, 472189473048422615612437, 331168296930913234665608, 182187676238604968266892, 6558764561600455444848, 201601083968149947396856, 480057143150868691903205, 317374346841700313755052], [270802348522645370296076, 317373584938140324519542, 26890248362720468575502, 955856707863374869776, 201304147925757762695055, 612550276425272552727353, 14133174274709378623204, 323820677096353157197813, 13864095318122105530933, 182401643563304147316919, 311993364060125006353996, 201601083968149947396856, 317373847435519735609594, 317374346841700313755052], [128934175661965260606045, 182441767239810358568120, 21040218258094674343805, 183042905682151517796461, 201304147925757762695055, 457146382231797743041893, 14133174274709378623204, 323820677096353157197813, 324140968640112839666771, 201345021035731059396856, 14134217861652631186082, 353027640065206021496, 174624979881047609504912, 20636876911559975149448], [400892538596774962271227, 182441767239810358568120, 201634566258188197014012, 201880784126229208997280, 201304147925757762695055, 307651011729353423476747, 6557080735981745700988, 472189473048422615612437, 5687804843161038213642, 182399786163342384791064, 467399819937031420354636, 353027640065206021496, 20287896308173451436135, 182441370292743157275208], [134500681942174595379307, 20636876911559975149448, 384657530991126059556, 954057262988691678677, 201304147925757762695055, 264885377874684802624315, 311993364060125006353996, 323820677096353157197813, 311432458493017298868572, 480098976973798064585828, 14133174274709378623204, 201601083968149947396856, 182441395546527600331678, 20636358675085577428336], [599890539181841666527389, 20636876911559975149448, 182845234166331672999941, 21189357690260235208445, 201304147925757762695055, 406566230431157718853989, 311993364060125006353996, 323820677096353157197813, 324140968640112839666771, 201561548954225104861449, 311994407647068258916874, 353027640065206021496, 174328031367364497816966, 182441767239810358568120], [612550276425272552727353, 20636876911559975149448, 20336756329373407087934, 183042200708284190200130, 201304147925757762695055, 270802348522645370296076, 311993364060125006353996, 323820677096353157197813, 472455869390799020328960, 324130392295734816561157, 311994407647068258916874, 201601083968149947396856, 174624576552535236802624, 182441767239810358568120], [548672327583409300549908, 480405554653178546287268, 167636603309621833253519, 201881937266226278769367, 201304147925757762695055, 618359051872214891184237, 6557080735981745700988, 472189473048422615612437, 466528680219819615180512, 20331580082450832094820, 467399819937031420354636, 201601083968149947396856, 317372701410579476364694, 480404914039025753479958], [140122387192439337681141, 480404914039025753479958, 499864685442488756661125, 317601272547039165907706, 201304147925757762695055, 556056216489877423133227, 195392806413256357434531, 472189473048422615612437, 472473700065550327060175, 472446118575820032157440, 195392287463929738757667, 201601083968149947396856, 499165531649301181096453, 317373584938140324519542]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 16777216, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 2048.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 1, 6], [2, 2, 4, 1], [2, 4, 1, 2], [2, 4, 2, 4], [2, 4, 4, 1], [2, 4, 8, 1], [2, 8, 1, 2], [2, 8, 2, 3], [2, 8, 4, 4], [2, 8, 8, 1], [2, 8, 32, 1], [2, 16, 1, 5], [2, 16, 2, 3], [2, 16, 4, 3], [2, 16, 16, 1], [2, 32, 1, 1], [2, 32, 2, 3], [2, 32, 8, 1], [2, 64, 1, 3], [4, 8, 4, 1], [4, 16, 1, 2], [4, 16, 2, 1], [4, 16, 4, 2], [4, 16, 16, 1], [4, 32, 1, 3], [4, 32, 2, 6], [4, 32, 4, 5], [4, 32, 8, 2], [4, 64, 1, 5], [4, 64, 2, 8], [4, 64, 4, 3], [4, 128, 1, 2], [4, 128, 2, 6], [4, 128, 8, 3], [4, 256, 1, 5], [4, 256, 4, 1], [8, 128, 2, 1], [8, 256, 1, 3], [8, 256, 4, 1], [8, 512, 2, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 10], [2, 4, 22], [2, 8, 64], [2, 16, 39], [2, 32, 15], [2, 64, 3], [4, 8, 4], [4, 16, 28], [4, 32, 51], [4, 64, 33], [4, 128, 38], [4, 256, 9], [8, 128, 2], [8, 256, 7], [8, 512, 2]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': None, 'commutator_count': 1, 'commutator_label': '512.7540510', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 14, 'conjugacy_classes_known': True, 'counter': 243, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 10], [2, 4, 1, 22], [2, 8, 1, 64], [2, 16, 1, 39], [2, 32, 1, 15], [2, 64, 1, 3], [4, 8, 1, 4], [4, 16, 1, 28], [4, 32, 1, 51], [4, 64, 1, 33], [4, 128, 1, 38], [4, 256, 1, 9], [8, 128, 1, 2], [8, 256, 1, 7], [8, 512, 1, 2]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': None, 'exponent': 8, 'exponents_of_order': [14], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '512.7540510', 'frattini_quotient': '32.51', 'hash': 3568873400067866534, 'hyperelementary': 2, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2], 'inner_gens': [[134155209864517598069833, 20636876911559975149448, 384657530991126059556, 630481299985556970923, 201304147925757762695055, 128588710320038817538499, 311993364060125006353996, 323820677096353157197813, 14106226641129112182000, 20594774503926809879280, 14133174274709378623204, 353027640065206021496, 182443246543919657534752, 20636358675085577428336], [134155209864517598069833, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 128588710320038817538499, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 26205151336536352706224, 182441767239810358568120], [134155209864517598069833, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 467399819937031420354636, 472189473048422615612437, 924151396542354098208, 309721983695914418208, 467401497381193429991592, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [599890539181841666527389, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 108648540503408023776475, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 26205151336536352706224, 182441767239810358568120], [134155209864517598069833, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [606342120158577192142977, 182441370292743157275208, 384657530991126059556, 630993488558925817152, 201304147925757762695055, 264590996380976690940696, 14134217861652631186082, 323820677096353157197813, 311966415757015608648984, 182399786163342384791064, 311994407647068258916874, 353027640065206021496, 20636383907934254007262, 182441767239810358568120], [134155209864517598069833, 20636876911559975149448, 182845234166331672999941, 183042200708284190200130, 201304147925757762695055, 562506004090511960639359, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 174624576552535236802624, 182441767239810358568120], [134155209864517598069833, 20636876911559975149448, 201635143184496578953223, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [146036283964820042887792, 20636876911559975149448, 1037289909862010227976, 183042200708284190200130, 201304147925757762695055, 549553160116039539794028, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [140122387192439337681141, 20636876911559975149448, 756891888960942968594, 183042200708284190200130, 201304147925757762695055, 108648540503408023776475, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [456847006861485540650140, 20636876911559975149448, 182845752402903387679730, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 174624576552535236802624, 182441767239810358568120], [134155209864517598069833, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120], [264590996380976690940696, 182441767239810358568120, 384657530991126059556, 21188531385141016833722, 201304147925757762695055, 134155209864517598069833, 14133174274709378623204, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 14134217861652631186082, 353027640065206021496, 499460789914068168726136, 20636876911559975149448], [606342120158577192142977, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 26205151336536352706224, 182441767239810358568120]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 4096, 'inner_split': None, 'inner_tex': None, 'inner_used': None, 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 32], [2, 56], [4, 96], [8, 120], [16, 27]], 'label': '16384.ji', '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': 'C2^8.D4^2', 'ngens': 14, 'nilpotency_class': 5, 'nilpotent': True, 'normal_counts': [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': 111, 'number_characteristic_subgroups': 437, 'number_conjugacy_classes': 331, 'number_divisions': 331, 'number_normal_subgroups': 1169, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 16384, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 1919], [4, 11392], [8, 3072]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': True, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '1024.yp', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 4096, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^2.C_4^4', 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 5, 'rational': True, 'rational_characters_known': False, 'ratrep_stats': [[1, 32], [2, 56], [4, 96], [8, 120], [16, 27]], 'representations': {'PC': {'code': '5515989096736372861960663801038985171831804243583988149218985023417373844011111559007516447315302187928461474147802520528631733235783200474459090326029601419533199320930208963940283581590140056569308132018495025029970', 'gens': [1, 2, 4, 5, 7, 9, 10, 12, 13, 14], 'pres': [14, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 169, 71, 509379, 254705, 771684, 319778, 38392, 466, 200, 185477, 92755, 219526, 109780, 83558, 664, 286, 129031, 64533, 94143, 282262, 298404, 215762, 67600, 53502, 10676, 4152, 215049, 403223, 340517, 244211, 67265, 60559, 12413, 5441, 415, 88770, 516107, 258073, 161347, 8159, 6843, 3497, 2236428, 1118234, 139844]}, 'Perm': {'d': 24, 'gens': [134155209864517598069833, 20636876911559975149448, 384657530991126059556, 183042200708284190200130, 201304147925757762695055, 264590996380976690940696, 311993364060125006353996, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 499460789914068168726136, 182441767239810358568120]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2], 'solvability_type': 5, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 4, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^8.D_4^2', 'transitive_degree': None, '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: 150021469
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 243, 'group_order': 16384, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
  • id: 150021580
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 243, 'group_order': 16384, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 353027640065206021496, 'size': 1}
  • id: 150021691
    {'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 243, 'group_order': 16384, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 201304147925757762695055, 'size': 1}
  • id: 150021734
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 243, 'group_order': 16384, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 201601083968149947396856, 'size': 1}
  • id: 150021745
    {'aut_label': '2D', 'centralizer': '2.B', 'counter': 5, 'group_counter': 243, 'group_order': 16384, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 644975897187883284290, 'size': 2}
  • id: 150021756
    {'aut_label': '2D', 'centralizer': '2.B', 'counter': 6, 'group_counter': 243, 'group_order': 16384, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 201895587127974710364251, 'size': 2}
  • id: 150021767
    {'aut_label': '2F', 'centralizer': '2.B', 'counter': 7, 'group_counter': 243, 'group_order': 16384, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 324168710502818171391404, 'size': 2}
  • id: 150021778
    {'aut_label': '2D', 'centralizer': '2.B', 'counter': 8, 'group_counter': 243, 'group_order': 16384, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 324358470093723122574842, 'size': 2}
  • id: 150021789
    {'aut_label': '2D', 'centralizer': '2.B', 'counter': 9, 'group_counter': 243, 'group_order': 16384, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 324655290915518913916585, 'size': 2}
  • id: 150021470
    {'aut_label': '2I', 'centralizer': '2.A', 'counter': 10, 'group_counter': 243, 'group_order': 16384, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 845869342738508943, 'size': 2}
  • id: 150021481
    {'aut_label': '2J', 'centralizer': '2.B', 'counter': 11, 'group_counter': 243, 'group_order': 16384, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 323820677096353157197813, 'size': 2}
  • id: 150021492
    {'aut_label': '2K', 'centralizer': '2.A', 'counter': 12, 'group_counter': 243, 'group_order': 16384, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 353739056850890738512, 'size': 2}
  • id: 150021503
    {'aut_label': '2L', 'centralizer': '2.C', 'counter': 13, 'group_counter': 243, 'group_order': 16384, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 323821388136421718302597, 'size': 2}
  • id: 150021514
    {'aut_label': '2M', 'centralizer': '2.C', 'counter': 14, 'group_counter': 243, 'group_order': 16384, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 324169421542893438931142, 'size': 2}
  • id: 150021525
    {'aut_label': '2N', 'centralizer': '4.A', 'counter': 15, 'group_counter': 243, 'group_order': 16384, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 354315270554906664836, 'size': 4}
  • id: 150021536
    {'aut_label': '2O', 'centralizer': '4.A', 'counter': 16, 'group_counter': 243, 'group_order': 16384, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 645808960374944811707, 'size': 4}
  • id: 150021547
    {'aut_label': '2P', 'centralizer': '4.A', 'counter': 17, 'group_counter': 243, 'group_order': 16384, 'label': '2P', 'order': 2, 'powers': [1], 'representative': 646257125203287132098, 'size': 4}
  • id: 150021558
    {'aut_label': '2P', 'centralizer': '4.A', 'counter': 18, 'group_counter': 243, 'group_order': 16384, 'label': '2Q', 'order': 2, 'powers': [1], 'representative': 646846144868809433382, 'size': 4}
  • id: 150021569
    {'aut_label': '2N', 'centralizer': '4.A', 'counter': 19, 'group_counter': 243, 'group_order': 16384, 'label': '2R', 'order': 2, 'powers': [1], 'representative': 201601666939908347619620, 'size': 4}
  • id: 150021581
    {'aut_label': '2P', 'centralizer': '4.A', 'counter': 20, 'group_counter': 243, 'group_order': 16384, 'label': '2S', 'order': 2, 'powers': [1], 'representative': 201896042050857436981082, 'size': 4}
  • id: 150021592
    {'aut_label': '2P', 'centralizer': '4.A', 'counter': 21, 'group_counter': 243, 'group_order': 16384, 'label': '2T', 'order': 2, 'powers': [1], 'representative': 201896509069741871921526, 'size': 4}
  • id: 150021603
    {'aut_label': '2O', 'centralizer': '4.A', 'counter': 22, 'group_counter': 243, 'group_order': 16384, 'label': '2U', 'order': 2, 'powers': [1], 'representative': 324359072294759773532910, 'size': 4}
  • id: 150021614
    {'aut_label': '2V', 'centralizer': '4.A', 'counter': 23, 'group_counter': 243, 'group_order': 16384, 'label': '2V', 'order': 2, 'powers': [1], 'representative': 1415680673528071741, 'size': 4}
  • id: 150021625
    {'aut_label': '2W', 'centralizer': '4.A', 'counter': 24, 'group_counter': 243, 'group_order': 16384, 'label': '2W', 'order': 2, 'powers': [1], 'representative': 201304724495142936554293, 'size': 4}
  • id: 150021636
    {'aut_label': '2X', 'centralizer': '4.DW', 'counter': 25, 'group_counter': 243, 'group_order': 16384, 'label': '2X', 'order': 2, 'powers': [1], 'representative': 20636358675085577428336, 'size': 4}
  • id: 150021647
    {'aut_label': '2X', 'centralizer': '4.DW', 'counter': 26, 'group_counter': 243, 'group_order': 16384, 'label': '2Y', 'order': 2, 'powers': [1], 'representative': 317373584938140324519542, 'size': 4}
  • id: 150021658
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 27, 'group_counter': 243, 'group_order': 16384, 'label': '2Z', 'order': 2, 'powers': [1], 'representative': 630481299985556970923, 'size': 4}
  • id: 150021669
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 28, 'group_counter': 243, 'group_order': 16384, 'label': '2AA', 'order': 2, 'powers': [1], 'representative': 631512457501664828736, 'size': 4}
  • id: 150021680
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 29, 'group_counter': 243, 'group_order': 16384, 'label': '2AB', 'order': 2, 'powers': [1], 'representative': 954057262988691678677, 'size': 4}
  • id: 150021692
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 30, 'group_counter': 243, 'group_order': 16384, 'label': '2AC', 'order': 2, 'powers': [1], 'representative': 955856707863374869776, 'size': 4}
  • id: 150021703
    {'aut_label': '2AD', 'centralizer': '4.DW', 'counter': 31, 'group_counter': 243, 'group_order': 16384, 'label': '2AD', 'order': 2, 'powers': [1], 'representative': 20285777100166397988009, 'size': 4}
  • id: 150021714
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 32, 'group_counter': 243, 'group_order': 16384, 'label': '2AE', 'order': 2, 'powers': [1], 'representative': 20916750667426707620769, 'size': 4}
  • id: 150021725
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 33, 'group_counter': 243, 'group_order': 16384, 'label': '2AF', 'order': 2, 'powers': [1], 'representative': 21189357690260235208445, 'size': 4}
  • id: 150021728
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 34, 'group_counter': 243, 'group_order': 16384, 'label': '2AG', 'order': 2, 'powers': [1], 'representative': 201881296671868702863720, 'size': 4}
  • id: 150021729
    {'aut_label': '2Z', 'centralizer': '4.DV', 'counter': 35, 'group_counter': 243, 'group_order': 16384, 'label': '2AH', 'order': 2, 'powers': [1], 'representative': 202154429047559307835560, 'size': 4}
  • id: 150021730
    {'aut_label': '2AD', 'centralizer': '4.DW', 'counter': 36, 'group_counter': 243, 'group_order': 16384, 'label': '2AI', 'order': 2, 'powers': [1], 'representative': 317077404731606175457141, 'size': 4}
  • id: 150021731
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 37, 'group_counter': 243, 'group_order': 16384, 'label': '2AJ', 'order': 2, 'powers': [1], 'representative': 14758227233714799664, 'size': 8}
  • id: 150021732
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 38, 'group_counter': 243, 'group_order': 16384, 'label': '2AK', 'order': 2, 'powers': [1], 'representative': 15405244895494778133, 'size': 8}
  • id: 150021733
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 39, 'group_counter': 243, 'group_order': 16384, 'label': '2AL', 'order': 2, 'powers': [1], 'representative': 31826956684881254704, 'size': 8}
  • id: 150021735
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 40, 'group_counter': 243, 'group_order': 16384, 'label': '2AM', 'order': 2, 'powers': [1], 'representative': 32525193318887207972, 'size': 8}
  • id: 150021736
    {'aut_label': '2AN', 'centralizer': None, 'counter': 41, 'group_counter': 243, 'group_order': 16384, 'label': '2AN', 'order': 2, 'powers': [1], 'representative': 46462782625546303024, 'size': 8}
  • id: 150021737
    {'aut_label': '2AN', 'centralizer': None, 'counter': 42, 'group_counter': 243, 'group_order': 16384, 'label': '2AO', 'order': 2, 'powers': [1], 'representative': 47737232876869290452, 'size': 8}
  • id: 150021738
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 43, 'group_counter': 243, 'group_order': 16384, 'label': '2AP', 'order': 2, 'powers': [1], 'representative': 321464313607321660043, 'size': 8}
  • id: 150021739
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 44, 'group_counter': 243, 'group_order': 16384, 'label': '2AQ', 'order': 2, 'powers': [1], 'representative': 321912856364878230336, 'size': 8}
  • id: 150021740
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 45, 'group_counter': 243, 'group_order': 16384, 'label': '2AR', 'order': 2, 'powers': [1], 'representative': 338462616936532278682, 'size': 8}
  • id: 150021741
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 46, 'group_counter': 243, 'group_order': 16384, 'label': '2AS', 'order': 2, 'powers': [1], 'representative': 339103230910225690192, 'size': 8}
  • id: 150021742
    {'aut_label': '2AT', 'centralizer': None, 'counter': 47, 'group_counter': 243, 'group_order': 16384, 'label': '2AT', 'order': 2, 'powers': [1], 'representative': 630500129252489097219, 'size': 8}
  • id: 150021743
    {'aut_label': '2AT', 'centralizer': None, 'counter': 48, 'group_counter': 243, 'group_order': 16384, 'label': '2AU', 'order': 2, 'powers': [1], 'representative': 954076092155991068980, 'size': 8}
  • id: 150021744
    {'aut_label': '2AV', 'centralizer': None, 'counter': 49, 'group_counter': 243, 'group_order': 16384, 'label': '2AV', 'order': 2, 'powers': [1], 'representative': 5673687564734459433609, 'size': 8}
  • id: 150021746
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 50, 'group_counter': 243, 'group_order': 16384, 'label': '2AW', 'order': 2, 'powers': [1], 'representative': 5686537173132816197805, 'size': 8}
  • id: 150021747
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 51, 'group_counter': 243, 'group_order': 16384, 'label': '2AX', 'order': 2, 'powers': [1], 'representative': 5687106984463602131827, 'size': 8}
  • id: 150021748
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 52, 'group_counter': 243, 'group_order': 16384, 'label': '2AY', 'order': 2, 'powers': [1], 'representative': 5687804843161038213642, 'size': 8}
  • id: 150021749
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 53, 'group_counter': 243, 'group_order': 16384, 'label': '2AZ', 'order': 2, 'powers': [1], 'representative': 5959143861376062875705, 'size': 8}
  • id: 150021750
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 54, 'group_counter': 243, 'group_order': 16384, 'label': '2BA', 'order': 2, 'powers': [1], 'representative': 5959713672619191153332, 'size': 8}
  • id: 150021751
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 55, 'group_counter': 243, 'group_order': 16384, 'label': '2BB', 'order': 2, 'powers': [1], 'representative': 5960296288596630561780, 'size': 8}
  • id: 150021752
    {'aut_label': '2AV', 'centralizer': None, 'counter': 56, 'group_counter': 243, 'group_order': 16384, 'label': '2BC', 'order': 2, 'powers': [1], 'representative': 5973184245475881796114, 'size': 8}
  • id: 150021753
    {'aut_label': '2BD', 'centralizer': None, 'counter': 57, 'group_counter': 243, 'group_order': 16384, 'label': '2BD', 'order': 2, 'powers': [1], 'representative': 6265138904971782156532, 'size': 8}
  • id: 150021754
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 58, 'group_counter': 243, 'group_order': 16384, 'label': '2BE', 'order': 2, 'powers': [1], 'representative': 6280408589521302772528, 'size': 8}
  • id: 150021755
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 59, 'group_counter': 243, 'group_order': 16384, 'label': '2BF', 'order': 2, 'powers': [1], 'representative': 6280863156810525484064, 'size': 8}
  • id: 150021757
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 60, 'group_counter': 243, 'group_order': 16384, 'label': '2BG', 'order': 2, 'powers': [1], 'representative': 6281567419202754517406, 'size': 8}
  • id: 150021758
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 61, 'group_counter': 243, 'group_order': 16384, 'label': '2BH', 'order': 2, 'powers': [1], 'representative': 6545473234013453067171, 'size': 8}
  • id: 150021759
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 62, 'group_counter': 243, 'group_order': 16384, 'label': '2BI', 'order': 2, 'powers': [1], 'representative': 6546049449018912752233, 'size': 8}
  • id: 150021760
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 63, 'group_counter': 243, 'group_order': 16384, 'label': '2BJ', 'order': 2, 'powers': [1], 'representative': 6546625661314972013569, 'size': 8}
  • id: 150021761
    {'aut_label': '2AN', 'centralizer': None, 'counter': 64, 'group_counter': 243, 'group_order': 16384, 'label': '2BK', 'order': 2, 'powers': [1], 'representative': 20330421252769380349942, 'size': 8}
  • id: 150021762
    {'aut_label': '2AN', 'centralizer': None, 'counter': 65, 'group_counter': 243, 'group_order': 16384, 'label': '2BL', 'order': 2, 'powers': [1], 'representative': 20331004224527820852260, 'size': 8}
  • id: 150021763
    {'aut_label': '2AN', 'centralizer': None, 'counter': 66, 'group_counter': 243, 'group_order': 16384, 'label': '2BM', 'order': 2, 'powers': [1], 'representative': 20331580082450832094820, 'size': 8}
  • id: 150021764
    {'aut_label': '2BN', 'centralizer': None, 'counter': 67, 'group_counter': 243, 'group_order': 16384, 'label': '2BN', 'order': 2, 'powers': [1], 'representative': 20917205590397131447801, 'size': 8}
  • id: 150021765
    {'aut_label': '2BO', 'centralizer': None, 'counter': 68, 'group_counter': 243, 'group_order': 16384, 'label': '2BO', 'order': 2, 'powers': [1], 'representative': 20930740189816198501211, 'size': 8}
  • id: 150021766
    {'aut_label': '2BN', 'centralizer': None, 'counter': 69, 'group_counter': 243, 'group_order': 16384, 'label': '2BP', 'order': 2, 'powers': [1], 'representative': 21189940663232465441882, 'size': 8}
  • id: 150021768
    {'aut_label': '2AT', 'centralizer': None, 'counter': 70, 'group_counter': 243, 'group_order': 16384, 'label': '2BQ', 'order': 2, 'powers': [1], 'representative': 26483110030463388742953, 'size': 8}
  • id: 150021769
    {'aut_label': '2AT', 'centralizer': None, 'counter': 71, 'group_counter': 243, 'group_order': 16384, 'label': '2BR', 'order': 2, 'powers': [1], 'representative': 26806808017786272667493, 'size': 8}
  • id: 150021770
    {'aut_label': '2AV', 'centralizer': None, 'counter': 72, 'group_counter': 243, 'group_order': 16384, 'label': '2BS', 'order': 2, 'powers': [1], 'representative': 187815937870542337755133, 'size': 8}
  • id: 150021771
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 73, 'group_counter': 243, 'group_order': 16384, 'label': '2BT', 'order': 2, 'powers': [1], 'representative': 187842898268581119864791, 'size': 8}
  • id: 150021772
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 74, 'group_counter': 243, 'group_order': 16384, 'label': '2BU', 'order': 2, 'powers': [1], 'representative': 187843468079824208588612, 'size': 8}
  • id: 150021773
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 75, 'group_counter': 243, 'group_order': 16384, 'label': '2BV', 'order': 2, 'powers': [1], 'representative': 187844050695801687550866, 'size': 8}
  • id: 150021774
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 76, 'group_counter': 243, 'group_order': 16384, 'label': '2BW', 'order': 2, 'powers': [1], 'representative': 188030110072960043920953, 'size': 8}
  • id: 150021775
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 77, 'group_counter': 243, 'group_order': 16384, 'label': '2BX', 'order': 2, 'powers': [1], 'representative': 188030679884290789575421, 'size': 8}
  • id: 150021776
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 78, 'group_counter': 243, 'group_order': 16384, 'label': '2BY', 'order': 2, 'powers': [1], 'representative': 188031377742988265936790, 'size': 8}
  • id: 150021777
    {'aut_label': '2AV', 'centralizer': None, 'counter': 79, 'group_counter': 243, 'group_order': 16384, 'label': '2BZ', 'order': 2, 'powers': [1], 'representative': 188061789018756765379112, 'size': 8}
  • id: 150021779
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 80, 'group_counter': 243, 'group_order': 16384, 'label': '2CA', 'order': 2, 'powers': [1], 'representative': 188329478682421406445417, 'size': 8}
  • id: 150021780
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 81, 'group_counter': 243, 'group_order': 16384, 'label': '2CB', 'order': 2, 'powers': [1], 'representative': 188329926847337362513873, 'size': 8}
  • id: 150021781
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 82, 'group_counter': 243, 'group_order': 16384, 'label': '2CC', 'order': 2, 'powers': [1], 'representative': 188330631109722925391815, 'size': 8}
  • id: 150021782
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  • id: 150021783
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  • id: 150021784
    {'aut_label': '2AJ', 'centralizer': None, 'counter': 85, 'group_counter': 243, 'group_order': 16384, 'label': '2CF', 'order': 2, 'powers': [1], 'representative': 188675655025360667610098, 'size': 8}
  • id: 150021785
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  • id: 150021786
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  • id: 150021787
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  • id: 150021788
    {'aut_label': '2AN', 'centralizer': None, 'counter': 89, 'group_counter': 243, 'group_order': 16384, 'label': '2CJ', 'order': 2, 'powers': [1], 'representative': 317118860124106214300708, 'size': 8}
  • id: 150021790
    {'aut_label': '2BN', 'centralizer': None, 'counter': 90, 'group_counter': 243, 'group_order': 16384, 'label': '2CK', 'order': 2, 'powers': [1], 'representative': 317602175281779101852953, 'size': 8}
  • id: 150021791
    {'aut_label': '2BO', 'centralizer': None, 'counter': 91, 'group_counter': 243, 'group_order': 16384, 'label': '2CL', 'order': 2, 'powers': [1], 'representative': 317614448633134338649514, 'size': 8}
  • id: 150021792
    {'aut_label': '2BN', 'centralizer': None, 'counter': 92, 'group_counter': 243, 'group_order': 16384, 'label': '2CM', 'order': 2, 'powers': [1], 'representative': 317923568060013250963418, 'size': 8}
  • id: 150021793
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  • id: 150021794
    {'aut_label': '2CN', 'centralizer': None, 'counter': 94, 'group_counter': 243, 'group_order': 16384, 'label': '2CO', 'order': 2, 'powers': [1], 'representative': 188353865323346807634050, 'size': 8}
  • id: 150021795
    {'aut_label': '2CP', 'centralizer': None, 'counter': 95, 'group_counter': 243, 'group_order': 16384, 'label': '2CP', 'order': 2, 'powers': [1], 'representative': 5932772441162583748230, 'size': 8}
  • id: 150021796
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  • id: 150021797
    {'aut_label': '2CP', 'centralizer': None, 'counter': 97, 'group_counter': 243, 'group_order': 16384, 'label': '2CR', 'order': 2, 'powers': [1], 'representative': 330874427272441121670613, 'size': 8}
  • id: 150021798
    {'aut_label': '2CP', 'centralizer': None, 'counter': 98, 'group_counter': 243, 'group_order': 16384, 'label': '2CS', 'order': 2, 'powers': [1], 'representative': 485986041397364498920815, 'size': 8}
  • id: 150021799
    {'aut_label': '2CP', 'centralizer': None, 'counter': 99, 'group_counter': 243, 'group_order': 16384, 'label': '2CT', 'order': 2, 'powers': [1], 'representative': 5717646285544249067224, 'size': 8}
  • id: 150021471
    {'aut_label': '2CU', 'centralizer': None, 'counter': 100, 'group_counter': 243, 'group_order': 16384, 'label': '2CU', 'order': 2, 'powers': [1], 'representative': 480055722157264748969553, 'size': 8}
  • id: 150021472
    {'aut_label': '2CV', 'centralizer': None, 'counter': 101, 'group_counter': 243, 'group_order': 16384, 'label': '2CV', 'order': 2, 'powers': [1], 'representative': 46475209432073366374, 'size': 16}
  • id: 150021473
    {'aut_label': '2CW', 'centralizer': '16.A', 'counter': 102, 'group_counter': 243, 'group_order': 16384, 'label': '2CW', 'order': 2, 'powers': [1], 'representative': 5674334226795985948239, 'size': 16}
  • id: 150021474
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 103, 'group_counter': 243, 'group_order': 16384, 'label': '2CX', 'order': 2, 'powers': [1], 'representative': 5703080885797693307465, 'size': 16}
  • id: 150021475
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 104, 'group_counter': 243, 'group_order': 16384, 'label': '2CY', 'order': 2, 'powers': [1], 'representative': 5704233335261179331588, 'size': 16}
  • id: 150021476
    {'aut_label': '2CZ', 'centralizer': '16.A', 'counter': 105, 'group_counter': 243, 'group_order': 16384, 'label': '2CZ', 'order': 2, 'powers': [1], 'representative': 5718216118929537655964, 'size': 16}
  • id: 150021477
    {'aut_label': '2CZ', 'centralizer': '16.A', 'counter': 106, 'group_counter': 243, 'group_order': 16384, 'label': '2DA', 'order': 2, 'powers': [1], 'representative': 5932183443722086138321, 'size': 16}
  • id: 150021478
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 107, 'group_counter': 243, 'group_order': 16384, 'label': '2DB', 'order': 2, 'powers': [1], 'representative': 5941626944773342149155, 'size': 16}
  • id: 150021479
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 108, 'group_counter': 243, 'group_order': 16384, 'label': '2DC', 'order': 2, 'powers': [1], 'representative': 5942529700448035720950, 'size': 16}
  • id: 150021480
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  • id: 150021482
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  • id: 150021483
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 111, 'group_counter': 243, 'group_order': 16384, 'label': '2DF', 'order': 2, 'powers': [1], 'representative': 6239350142937867130369, 'size': 16}
  • id: 150021484
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  • id: 150021485
    {'aut_label': '2DG', 'centralizer': '16.A', 'counter': 113, 'group_counter': 243, 'group_order': 16384, 'label': '2DH', 'order': 2, 'powers': [1], 'representative': 6251021690801831873904, 'size': 16}
  • id: 150021486
    {'aut_label': '2DI', 'centralizer': '16.A', 'counter': 114, 'group_counter': 243, 'group_order': 16384, 'label': '2DI', 'order': 2, 'powers': [1], 'representative': 6265772760877631689636, 'size': 16}
  • id: 150021487
    {'aut_label': '2DJ', 'centralizer': '16.A', 'counter': 115, 'group_counter': 243, 'group_order': 16384, 'label': '2DJ', 'order': 2, 'powers': [1], 'representative': 6557605752848978657451, 'size': 16}
  • id: 150021488
    {'aut_label': '2DG', 'centralizer': '16.A', 'counter': 116, 'group_counter': 243, 'group_order': 16384, 'label': '2DK', 'order': 2, 'powers': [1], 'representative': 6574725701185671802010, 'size': 16}
  • id: 150021489
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 117, 'group_counter': 243, 'group_order': 16384, 'label': '2DL', 'order': 2, 'powers': [1], 'representative': 6586345989607035594796, 'size': 16}
  • id: 150021490
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 118, 'group_counter': 243, 'group_order': 16384, 'label': '2DM', 'order': 2, 'powers': [1], 'representative': 6587504840124098931554, 'size': 16}
  • id: 150021491
    {'aut_label': '2DN', 'centralizer': None, 'counter': 119, 'group_counter': 243, 'group_order': 16384, 'label': '2DN', 'order': 2, 'powers': [1], 'representative': 20285789526972442471335, 'size': 16}
  • id: 150021493
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 120, 'group_counter': 243, 'group_order': 16384, 'label': '2DO', 'order': 2, 'powers': [1], 'representative': 20301033645290400543858, 'size': 16}
  • id: 150021494
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 121, 'group_counter': 243, 'group_order': 16384, 'label': '2DP', 'order': 2, 'powers': [1], 'representative': 20318224731122940376822, 'size': 16}
  • id: 150021495
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 122, 'group_counter': 243, 'group_order': 16384, 'label': '2DQ', 'order': 2, 'powers': [1], 'representative': 20607618083947766763009, 'size': 16}
  • id: 150021496
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 123, 'group_counter': 243, 'group_order': 16384, 'label': '2DR', 'order': 2, 'powers': [1], 'representative': 20624738032284459907568, 'size': 16}
  • id: 150021497
    {'aut_label': '2DN', 'centralizer': None, 'counter': 124, 'group_counter': 243, 'group_order': 16384, 'label': '2DS', 'order': 2, 'powers': [1], 'representative': 20636383907934254007262, 'size': 16}
  • id: 150021498
    {'aut_label': '2DT', 'centralizer': '16.A', 'counter': 125, 'group_counter': 243, 'group_order': 16384, 'label': '2DT', 'order': 2, 'powers': [1], 'representative': 20931905441386839160682, 'size': 16}
  • id: 150021499
    {'aut_label': '2DN', 'centralizer': None, 'counter': 126, 'group_counter': 243, 'group_order': 16384, 'label': '2DU', 'order': 2, 'powers': [1], 'representative': 25853404176576632133373, 'size': 16}
  • id: 150021500
    {'aut_label': '2CV', 'centralizer': None, 'counter': 127, 'group_counter': 243, 'group_order': 16384, 'label': '2DV', 'order': 2, 'powers': [1], 'representative': 25899213915521603297590, 'size': 16}
  • id: 150021501
    {'aut_label': '2CV', 'centralizer': None, 'counter': 128, 'group_counter': 243, 'group_order': 16384, 'label': '2DW', 'order': 2, 'powers': [1], 'representative': 25899789752614443598004, 'size': 16}
  • id: 150021502
    {'aut_label': '2CV', 'centralizer': None, 'counter': 129, 'group_counter': 243, 'group_order': 16384, 'label': '2DX', 'order': 2, 'powers': [1], 'representative': 25900487987941254224468, 'size': 16}
  • id: 150021504
    {'aut_label': '2DN', 'centralizer': None, 'counter': 130, 'group_counter': 243, 'group_order': 16384, 'label': '2DY', 'order': 2, 'powers': [1], 'representative': 26206303387145744358158, 'size': 16}
  • id: 150021505
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  • id: 150021506
    {'aut_label': '2DZ', 'centralizer': None, 'counter': 132, 'group_counter': 243, 'group_order': 16384, 'label': '2EA', 'order': 2, 'powers': [1], 'representative': 26807383856092902699026, 'size': 16}
  • id: 150021507
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 133, 'group_counter': 243, 'group_order': 16384, 'label': '2EB', 'order': 2, 'powers': [1], 'representative': 187826284107653132263842, 'size': 16}
  • id: 150021508
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 134, 'group_counter': 243, 'group_order': 16384, 'label': '2EC', 'order': 2, 'powers': [1], 'representative': 188047806235088366775182, 'size': 16}
  • id: 150021509
    {'aut_label': '2DG', 'centralizer': '16.A', 'counter': 135, 'group_counter': 243, 'group_order': 16384, 'label': '2ED', 'order': 2, 'powers': [1], 'representative': 188339171874644585405811, 'size': 16}
  • id: 150021510
    {'aut_label': '2CX', 'centralizer': '16.A', 'counter': 136, 'group_counter': 243, 'group_order': 16384, 'label': '2EE', 'order': 2, 'powers': [1], 'representative': 188368955719192962256760, 'size': 16}
  • id: 150021511
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  • id: 150021512
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  • id: 150021513
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  • id: 150021515
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  • id: 150021516
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  • id: 150021517
    {'aut_label': '2EJ', 'centralizer': None, 'counter': 142, 'group_counter': 243, 'group_order': 16384, 'label': '2EK', 'order': 2, 'powers': [1], 'representative': 5941652533422019503783, 'size': 32}
  • id: 150021518
    {'aut_label': '2EJ', 'centralizer': None, 'counter': 143, 'group_counter': 243, 'group_order': 16384, 'label': '2EL', 'order': 2, 'powers': [1], 'representative': 6238338525889194683355, 'size': 32}
  • id: 150021519
    {'aut_label': '2EJ', 'centralizer': None, 'counter': 144, 'group_counter': 243, 'group_order': 16384, 'label': '2EM', 'order': 2, 'powers': [1], 'representative': 6586371576835472433580, 'size': 32}
  • id: 150021520
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  • id: 150021521
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  • id: 150021522
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  • id: 150021523
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  • id: 150021524
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  • id: 150021526
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  • id: 150021527
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  • id: 150021528
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  • id: 150021529
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  • id: 150021530
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  • id: 150021531
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  • id: 150021532
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  • id: 150021533
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  • id: 150021534
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  • id: 150021535
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  • id: 150021537
    {'aut_label': '4A', 'centralizer': None, 'counter': 160, 'group_counter': 243, 'group_order': 16384, 'label': '4C', 'order': 4, 'powers': [10], 'representative': 32650392830457586612575, 'size': 8}
  • id: 150021538
    {'aut_label': '4A', 'centralizer': None, 'counter': 161, 'group_counter': 243, 'group_order': 16384, 'label': '4D', 'order': 4, 'powers': [10], 'representative': 32949761795780777764216, 'size': 8}
  • id: 150021539
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  • id: 150021540
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  • id: 150021541
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  • id: 150021542
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  • id: 150021543
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  • id: 150021544
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  • id: 150021545
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  • id: 150021546
    {'aut_label': '4L', 'centralizer': None, 'counter': 169, 'group_counter': 243, 'group_order': 16384, 'label': '4L', 'order': 4, 'powers': [10], 'representative': 32650962976546304771653, 'size': 16}
  • id: 150021548
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  • id: 150021549
    {'aut_label': '4J', 'centralizer': None, 'counter': 171, 'group_counter': 243, 'group_order': 16384, 'label': '4N', 'order': 4, 'powers': [10], 'representative': 33227535153272071081080, 'size': 16}
  • id: 150021550
    {'aut_label': '4I', 'centralizer': None, 'counter': 172, 'group_counter': 243, 'group_order': 16384, 'label': '4O', 'order': 4, 'powers': [10], 'representative': 33241832032674614115131, 'size': 16}
  • id: 150021551
    {'aut_label': '4I', 'centralizer': None, 'counter': 173, 'group_counter': 243, 'group_order': 16384, 'label': '4P', 'order': 4, 'powers': [10], 'representative': 33242280532260885031802, 'size': 16}
  • id: 150021552
    {'aut_label': '4I', 'centralizer': None, 'counter': 174, 'group_counter': 243, 'group_order': 16384, 'label': '4Q', 'order': 4, 'powers': [10], 'representative': 33242869217168478816006, 'size': 16}
  • id: 150021553
    {'aut_label': '4J', 'centralizer': None, 'counter': 175, 'group_counter': 243, 'group_order': 16384, 'label': '4R', 'order': 4, 'powers': [10], 'representative': 33551361187894709041202, 'size': 16}
  • id: 150021554
    {'aut_label': '4E', 'centralizer': None, 'counter': 176, 'group_counter': 243, 'group_order': 16384, 'label': '4S', 'order': 4, 'powers': [23], 'representative': 38285114816166351231813, 'size': 16}
  • id: 150021555
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  • id: 150021556
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  • id: 150021557
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  • id: 150021559
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  • id: 150021560
    {'aut_label': '4E', 'centralizer': None, 'counter': 181, 'group_counter': 243, 'group_order': 16384, 'label': '4X', 'order': 4, 'powers': [23], 'representative': 38607417062436777251268, 'size': 16}
  • id: 150021561
    {'aut_label': '4E', 'centralizer': None, 'counter': 182, 'group_counter': 243, 'group_order': 16384, 'label': '4Y', 'order': 4, 'powers': [23], 'representative': 38876553683618733273952, 'size': 16}
  • id: 150021562
    {'aut_label': '4E', 'centralizer': None, 'counter': 183, 'group_counter': 243, 'group_order': 16384, 'label': '4Z', 'order': 4, 'powers': [23], 'representative': 38876886584878047613424, 'size': 16}
  • id: 150021563
    {'aut_label': '4E', 'centralizer': None, 'counter': 184, 'group_counter': 243, 'group_order': 16384, 'label': '4AA', 'order': 4, 'powers': [23], 'representative': 38877597270573481954430, 'size': 16}
  • id: 150021564
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  • id: 150021565
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  • id: 150021566
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  • id: 150021567
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  • id: 150021568
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  • id: 150021570
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  • id: 150021571
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  • id: 150021572
    {'aut_label': '4AI', 'centralizer': None, 'counter': 192, 'group_counter': 243, 'group_order': 16384, 'label': '4AI', 'order': 4, 'powers': [10], 'representative': 5686088984822944131669, 'size': 32}
  • id: 150021573
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  • id: 150021574
    {'aut_label': '4AJ', 'centralizer': None, 'counter': 194, 'group_counter': 243, 'group_order': 16384, 'label': '4AK', 'order': 4, 'powers': [23], 'representative': 5931882511228987836271, 'size': 32}
  • id: 150021575
    {'aut_label': '4AI', 'centralizer': None, 'counter': 195, 'group_counter': 243, 'group_order': 16384, 'label': '4AL', 'order': 4, 'powers': [10], 'representative': 5958702076654644634775, 'size': 32}
  • id: 150021576
    {'aut_label': '4AH', 'centralizer': None, 'counter': 196, 'group_counter': 243, 'group_order': 16384, 'label': '4AM', 'order': 4, 'powers': [23], 'representative': 5973331500134425658702, 'size': 32}
  • id: 150021577
    {'aut_label': '4AN', 'centralizer': None, 'counter': 197, 'group_counter': 243, 'group_order': 16384, 'label': '4AN', 'order': 4, 'powers': [23], 'representative': 6250714357323652752169, 'size': 32}
  • id: 150021578
    {'aut_label': '4AO', 'centralizer': None, 'counter': 198, 'group_counter': 243, 'group_order': 16384, 'label': '4AO', 'order': 4, 'powers': [23], 'representative': 6265279757244644882474, 'size': 32}
  • id: 150021579
    {'aut_label': '4AI', 'centralizer': None, 'counter': 199, 'group_counter': 243, 'group_order': 16384, 'label': '4AP', 'order': 4, 'powers': [10], 'representative': 6279851560759280038072, 'size': 32}
  • id: 150021582
    {'aut_label': '4AI', 'centralizer': None, 'counter': 200, 'group_counter': 243, 'group_order': 16384, 'label': '4AQ', 'order': 4, 'powers': [10], 'representative': 6544909802883472618875, 'size': 32}
  • id: 150021583
    {'aut_label': '4AO', 'centralizer': None, 'counter': 201, 'group_counter': 243, 'group_order': 16384, 'label': '4AR', 'order': 4, 'powers': [23], 'representative': 6557227991947963971888, 'size': 32}
  • id: 150021584
    {'aut_label': '4AN', 'centralizer': None, 'counter': 202, 'group_counter': 243, 'group_order': 16384, 'label': '4AS', 'order': 4, 'powers': [23], 'representative': 6574290320227151095154, 'size': 32}
  • id: 150021585
    {'aut_label': '4AT', 'centralizer': None, 'counter': 203, 'group_counter': 243, 'group_order': 16384, 'label': '4AT', 'order': 4, 'powers': [23], 'representative': 20300605019783885377939, 'size': 32}
  • id: 150021586
    {'aut_label': '4AT', 'centralizer': None, 'counter': 204, 'group_counter': 243, 'group_order': 16384, 'label': '4AU', 'order': 4, 'powers': [23], 'representative': 20317610081081870329334, 'size': 32}
  • id: 150021587
    {'aut_label': '4AV', 'centralizer': None, 'counter': 205, 'group_counter': 243, 'group_order': 16384, 'label': '4AV', 'order': 4, 'powers': [10], 'representative': 20329742223219520647142, 'size': 32}
  • id: 150021588
    {'aut_label': '4AT', 'centralizer': None, 'counter': 206, 'group_counter': 243, 'group_order': 16384, 'label': '4AW', 'order': 4, 'powers': [23], 'representative': 20607240323046752077446, 'size': 32}
  • id: 150021589
    {'aut_label': '4AT', 'centralizer': None, 'counter': 207, 'group_counter': 243, 'group_order': 16384, 'label': '4AX', 'order': 4, 'powers': [23], 'representative': 20624303005705686396854, 'size': 32}
  • id: 150021590
    {'aut_label': '4AG', 'centralizer': None, 'counter': 208, 'group_counter': 243, 'group_order': 16384, 'label': '4AY', 'order': 4, 'powers': [2], 'representative': 25915524288308577281200, 'size': 32}
  • id: 150021591
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 209, 'group_counter': 243, 'group_order': 16384, 'label': '4AZ', 'order': 4, 'powers': [10], 'representative': 26482546243733158534473, 'size': 32}
  • id: 150021593
    {'aut_label': '4AZ', 'centralizer': None, 'counter': 210, 'group_counter': 243, 'group_order': 16384, 'label': '4BA', 'order': 4, 'powers': [10], 'representative': 26806128988236413043893, 'size': 32}
  • id: 150021594
    {'aut_label': '4AI', 'centralizer': None, 'counter': 211, 'group_counter': 243, 'group_order': 16384, 'label': '4BB', 'order': 4, 'powers': [10], 'representative': 32662518906381501065901, 'size': 32}
  • id: 150021595
    {'aut_label': '4AI', 'centralizer': None, 'counter': 212, 'group_counter': 243, 'group_order': 16384, 'label': '4BC', 'order': 4, 'powers': [10], 'representative': 32679638854718194210460, 'size': 32}
  • id: 150021596
    {'aut_label': '4AV', 'centralizer': None, 'counter': 213, 'group_counter': 243, 'group_order': 16384, 'label': '4BD', 'order': 4, 'powers': [10], 'representative': 32694851270967341964020, 'size': 32}
  • id: 150021597
    {'aut_label': '4BE', 'centralizer': None, 'counter': 214, 'group_counter': 243, 'group_order': 16384, 'label': '4BE', 'order': 4, 'powers': [3], 'representative': 32701594760680761972976, 'size': 32}
  • id: 150021598
    {'aut_label': '4AG', 'centralizer': None, 'counter': 215, 'group_counter': 243, 'group_order': 16384, 'label': '4BF', 'order': 4, 'powers': [4], 'representative': 32710768985867714807416, 'size': 32}
  • id: 150021599
    {'aut_label': '4AI', 'centralizer': None, 'counter': 216, 'group_counter': 243, 'group_order': 16384, 'label': '4BG', 'order': 4, 'powers': [10], 'representative': 32917934842074336533880, 'size': 32}
  • id: 150021600
    {'aut_label': '4AI', 'centralizer': None, 'counter': 217, 'group_counter': 243, 'group_order': 16384, 'label': '4BH', 'order': 4, 'powers': [10], 'representative': 32935125927906875641096, 'size': 32}
  • id: 150021601
    {'aut_label': '4BI', 'centralizer': None, 'counter': 218, 'group_counter': 243, 'group_order': 16384, 'label': '4BI', 'order': 4, 'powers': [3], 'representative': 33241274648218936302731, 'size': 32}
  • id: 150021602
    {'aut_label': '4BJ', 'centralizer': None, 'counter': 219, 'group_counter': 243, 'group_order': 16384, 'label': '4BJ', 'order': 4, 'powers': [11], 'representative': 38269857224959292273071, 'size': 32}
  • id: 150021604
    {'aut_label': '4AH', 'centralizer': None, 'counter': 220, 'group_counter': 243, 'group_order': 16384, 'label': '4BK', 'order': 4, 'powers': [23], 'representative': 38270478612220615535103, 'size': 32}
  • id: 150021605
    {'aut_label': '4AT', 'centralizer': None, 'counter': 221, 'group_counter': 243, 'group_order': 16384, 'label': '4BL', 'order': 4, 'powers': [23], 'representative': 38300262812543635791932, 'size': 32}
  • id: 150021606
    {'aut_label': '4AJ', 'centralizer': None, 'counter': 222, 'group_counter': 243, 'group_order': 16384, 'label': '4BM', 'order': 4, 'powers': [23], 'representative': 38314367262328601782292, 'size': 32}
  • id: 150021607
    {'aut_label': '4AJ', 'centralizer': None, 'counter': 223, 'group_counter': 243, 'group_order': 16384, 'label': '4BN', 'order': 4, 'powers': [23], 'representative': 38579425507149577363513, 'size': 32}
  • id: 150021608
    {'aut_label': '4AT', 'centralizer': None, 'counter': 224, 'group_counter': 243, 'group_order': 16384, 'label': '4BO', 'order': 4, 'powers': [23], 'representative': 38592083355454524021222, 'size': 32}
  • id: 150021609
    {'aut_label': '4BJ', 'centralizer': None, 'counter': 225, 'group_counter': 243, 'group_order': 16384, 'label': '4BP', 'order': 4, 'powers': [11], 'representative': 38620445536917658649006, 'size': 32}
  • id: 150021610
    {'aut_label': '4AH', 'centralizer': None, 'counter': 226, 'group_counter': 243, 'group_order': 16384, 'label': '4BQ', 'order': 4, 'powers': [23], 'representative': 38620945277776167683272, 'size': 32}
  • id: 150021611
    {'aut_label': '4AT', 'centralizer': None, 'counter': 227, 'group_counter': 243, 'group_order': 16384, 'label': '4BR', 'order': 4, 'powers': [23], 'representative': 38835379617779331437113, 'size': 32}
  • id: 150021612
    {'aut_label': '4AN', 'centralizer': None, 'counter': 228, 'group_counter': 243, 'group_order': 16384, 'label': '4BS', 'order': 4, 'powers': [23], 'representative': 38849606047435572218976, 'size': 32}
  • id: 150021613
    {'aut_label': '4BT', 'centralizer': None, 'counter': 229, 'group_counter': 243, 'group_order': 16384, 'label': '4BT', 'order': 4, 'powers': [11], 'representative': 38861302829538522251594, 'size': 32}
  • id: 150021615
    {'aut_label': '4AO', 'centralizer': None, 'counter': 230, 'group_counter': 243, 'group_order': 16384, 'label': '4BU', 'order': 4, 'powers': [23], 'representative': 38861917813041825116260, 'size': 32}
  • id: 150021616
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  • id: 150021617
    {'aut_label': '4AN', 'centralizer': None, 'counter': 232, 'group_counter': 243, 'group_order': 16384, 'label': '4BW', 'order': 4, 'powers': [23], 'representative': 39170877177954518206058, 'size': 32}
  • id: 150021618
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  • id: 150021619
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  • id: 150021620
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  • id: 150021621
    {'aut_label': '4BE', 'centralizer': None, 'counter': 236, 'group_counter': 243, 'group_order': 16384, 'label': '4CA', 'order': 4, 'powers': [3], 'representative': 317127763682671367093850, 'size': 32}
  • id: 150021622
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  • id: 150021623
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  • id: 150021624
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  • id: 150021626
    {'aut_label': '4CC', 'centralizer': None, 'counter': 240, 'group_counter': 243, 'group_order': 16384, 'label': '4CE', 'order': 4, 'powers': [13], 'representative': 38313816322273352634452, 'size': 32}
  • id: 150021627
    {'aut_label': '4CF', 'centralizer': None, 'counter': 241, 'group_counter': 243, 'group_order': 16384, 'label': '4CF', 'order': 4, 'powers': [10], 'representative': 52047823098112481008, 'size': 64}
  • id: 150021628
    {'aut_label': '4CG', 'centralizer': None, 'counter': 242, 'group_counter': 243, 'group_order': 16384, 'label': '4CG', 'order': 4, 'powers': [10], 'representative': 52476782158470333948, 'size': 64}
  • id: 150021629
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  • id: 150021630
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  • id: 150021631
    {'aut_label': '4CJ', 'centralizer': None, 'counter': 245, 'group_counter': 243, 'group_order': 16384, 'label': '4CJ', 'order': 4, 'powers': [12], 'representative': 64673681109201183356, 'size': 64}
  • id: 150021632
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  • id: 150021633
    {'aut_label': '4CK', 'centralizer': None, 'counter': 247, 'group_counter': 243, 'group_order': 16384, 'label': '4CL', 'order': 4, 'powers': [23], 'representative': 25883962707073134585614, 'size': 64}
  • id: 150021634
    {'aut_label': '4CM', 'centralizer': None, 'counter': 248, 'group_counter': 243, 'group_order': 16384, 'label': '4CM', 'order': 4, 'powers': [10], 'representative': 25898528483604264927190, 'size': 64}
  • id: 150021635
    {'aut_label': '4CG', 'centralizer': None, 'counter': 249, 'group_counter': 243, 'group_order': 16384, 'label': '4CN', 'order': 4, 'powers': [10], 'representative': 25903263742228133088161, 'size': 64}
  • id: 150021637
    {'aut_label': '4CF', 'centralizer': None, 'counter': 250, 'group_counter': 243, 'group_order': 16384, 'label': '4CO', 'order': 4, 'powers': [10], 'representative': 25904525721385874607882, 'size': 64}
  • id: 150021638
    {'aut_label': '4CJ', 'centralizer': None, 'counter': 251, 'group_counter': 243, 'group_order': 16384, 'label': '4CP', 'order': 4, 'powers': [12], 'representative': 25916228926100272106920, 'size': 64}
  • id: 150021639
    {'aut_label': '4CH', 'centralizer': None, 'counter': 252, 'group_counter': 243, 'group_order': 16384, 'label': '4CQ', 'order': 4, 'powers': [12], 'representative': 25916657864137692449462, 'size': 64}
  • id: 150021640
    {'aut_label': '4CK', 'centralizer': None, 'counter': 253, 'group_counter': 243, 'group_order': 16384, 'label': '4CR', 'order': 4, 'powers': [23], 'representative': 26173593282407797895766, 'size': 64}
  • id: 150021641
    {'aut_label': '4CK', 'centralizer': None, 'counter': 254, 'group_counter': 243, 'group_order': 16384, 'label': '4CS', 'order': 4, 'powers': [23], 'representative': 26190662388449934374654, 'size': 64}
  • id: 150021642
    {'aut_label': '4CT', 'centralizer': None, 'counter': 255, 'group_counter': 243, 'group_order': 16384, 'label': '4CT', 'order': 4, 'powers': [24], 'representative': 32662141165095601900452, 'size': 64}
  • id: 150021643
    {'aut_label': '4CT', 'centralizer': None, 'counter': 256, 'group_counter': 243, 'group_order': 16384, 'label': '4CU', 'order': 4, 'powers': [24], 'representative': 32679210271051039094060, 'size': 64}
  • id: 150021644
    {'aut_label': '4CV', 'centralizer': None, 'counter': 257, 'group_counter': 243, 'group_order': 16384, 'label': '4CV', 'order': 4, 'powers': [3], 'representative': 32702023343117932510692, 'size': 64}
  • id: 150021645
    {'aut_label': '4CI', 'centralizer': None, 'counter': 258, 'group_counter': 243, 'group_order': 16384, 'label': '4CW', 'order': 4, 'powers': [4], 'representative': 32711786963276391159620, 'size': 64}
  • id: 150021646
    {'aut_label': '4CT', 'centralizer': None, 'counter': 259, 'group_counter': 243, 'group_order': 16384, 'label': '4CX', 'order': 4, 'powers': [24], 'representative': 32917755952295606242927, 'size': 64}
  • id: 150021648
    {'aut_label': '4CT', 'centralizer': None, 'counter': 260, 'group_counter': 243, 'group_order': 16384, 'label': '4CY', 'order': 4, 'powers': [24], 'representative': 32934754590297087594374, 'size': 64}
  • id: 150021649
    {'aut_label': '4CZ', 'centralizer': None, 'counter': 261, 'group_counter': 243, 'group_order': 16384, 'label': '4CZ', 'order': 4, 'powers': [13], 'representative': 38849170352635195939537, 'size': 64}
  • id: 150021650
    {'aut_label': '4DA', 'centralizer': None, 'counter': 262, 'group_counter': 243, 'group_order': 16384, 'label': '4DA', 'order': 4, 'powers': [3], 'representative': 108053064260210416220393, 'size': 64}
  • id: 150021651
    {'aut_label': '4DB', 'centralizer': None, 'counter': 263, 'group_counter': 243, 'group_order': 16384, 'label': '4DB', 'order': 4, 'powers': [3], 'representative': 108062665323809686586513, 'size': 64}
  • id: 150021652
    {'aut_label': '4DC', 'centralizer': None, 'counter': 264, 'group_counter': 243, 'group_order': 16384, 'label': '4DC', 'order': 4, 'powers': [11], 'representative': 108063235511744423244357, 'size': 64}
  • id: 150021653
    {'aut_label': '4DC', 'centralizer': None, 'counter': 265, 'group_counter': 243, 'group_order': 16384, 'label': '4DD', 'order': 4, 'powers': [11], 'representative': 108063926591458933895628, 'size': 64}
  • id: 150021654
    {'aut_label': '4DE', 'centralizer': None, 'counter': 266, 'group_counter': 243, 'group_order': 16384, 'label': '4DE', 'order': 4, 'powers': [25], 'representative': 108069599094115735628513, 'size': 64}
  • id: 150021655
    {'aut_label': '4DE', 'centralizer': None, 'counter': 267, 'group_counter': 243, 'group_order': 16384, 'label': '4DF', 'order': 4, 'powers': [26], 'representative': 108070501828756510943870, 'size': 64}
  • id: 150021656
    {'aut_label': '4DG', 'centralizer': None, 'counter': 268, 'group_counter': 243, 'group_order': 16384, 'label': '4DG', 'order': 4, 'powers': [11], 'representative': 108304221227221379102979, 'size': 64}
  • id: 150021657
    {'aut_label': '4DH', 'centralizer': None, 'counter': 269, 'group_counter': 243, 'group_order': 16384, 'label': '4DH', 'order': 4, 'powers': [2], 'representative': 108534195520791125829456, 'size': 64}
  • id: 150021659
    {'aut_label': '4DH', 'centralizer': None, 'counter': 270, 'group_counter': 243, 'group_order': 16384, 'label': '4DI', 'order': 4, 'powers': [4], 'representative': 108534893756115149983067, 'size': 64}
  • id: 150021660
    {'aut_label': '4DG', 'centralizer': None, 'counter': 271, 'group_counter': 243, 'group_order': 16384, 'label': '4DJ', 'order': 4, 'powers': [11], 'representative': 108649821734193407558157, 'size': 64}
  • id: 150021661
    {'aut_label': '4DE', 'centralizer': None, 'counter': 272, 'group_counter': 243, 'group_order': 16384, 'label': '4DK', 'order': 4, 'powers': [25], 'representative': 108930853167424130320433, 'size': 64}
  • id: 150021662
    {'aut_label': '4DE', 'centralizer': None, 'counter': 273, 'group_counter': 243, 'group_order': 16384, 'label': '4DL', 'order': 4, 'powers': [26], 'representative': 108931871146198915481634, 'size': 64}
  • id: 150021663
    {'aut_label': '4DM', 'centralizer': None, 'counter': 274, 'group_counter': 243, 'group_order': 16384, 'label': '4DM', 'order': 4, 'powers': [27], 'representative': 78022252584217111039, 'size': 128}
  • id: 150021664
    {'aut_label': '4DN', 'centralizer': None, 'counter': 275, 'group_counter': 243, 'group_order': 16384, 'label': '4DN', 'order': 4, 'powers': [28], 'representative': 78163460543462152368, 'size': 128}
  • id: 150021665
    {'aut_label': '4DM', 'centralizer': None, 'counter': 276, 'group_counter': 243, 'group_order': 16384, 'label': '4DO', 'order': 4, 'powers': [29], 'representative': 92658434819204867279, 'size': 128}
  • id: 150021666
    {'aut_label': '4DN', 'centralizer': None, 'counter': 277, 'group_counter': 243, 'group_order': 16384, 'label': '4DP', 'order': 4, 'powers': [30], 'representative': 92799287098294694512, 'size': 128}
  • id: 150021667
    {'aut_label': '4DQ', 'centralizer': None, 'counter': 278, 'group_counter': 243, 'group_order': 16384, 'label': '4DQ', 'order': 4, 'powers': [31], 'representative': 5724821583637231092790, 'size': 128}
  • id: 150021668
    {'aut_label': '4DR', 'centralizer': None, 'counter': 279, 'group_counter': 243, 'group_order': 16384, 'label': '4DR', 'order': 4, 'powers': [25], 'representative': 5734636443804964410158, 'size': 128}
  • id: 150021670
    {'aut_label': '4DN', 'centralizer': None, 'counter': 280, 'group_counter': 243, 'group_order': 16384, 'label': '4DS', 'order': 4, 'powers': [32], 'representative': 5749355500051514810553, 'size': 128}
  • id: 150021671
    {'aut_label': '4DN', 'centralizer': None, 'counter': 281, 'group_counter': 243, 'group_order': 16384, 'label': '4DT', 'order': 4, 'powers': [29], 'representative': 5749989355940914748164, 'size': 128}
  • id: 150021672
    {'aut_label': '4DM', 'centralizer': None, 'counter': 282, 'group_counter': 243, 'group_order': 16384, 'label': '4DU', 'order': 4, 'powers': [32], 'representative': 5750367096008752771261, 'size': 128}
  • id: 150021673
    {'aut_label': '4DN', 'centralizer': None, 'counter': 283, 'group_counter': 243, 'group_order': 16384, 'label': '4DV', 'order': 4, 'powers': [27], 'representative': 5763927637455651865601, 'size': 128}
  • id: 150021674
    {'aut_label': '4DN', 'centralizer': None, 'counter': 284, 'group_counter': 243, 'group_order': 16384, 'label': '4DW', 'order': 4, 'powers': [33], 'representative': 5764625893883050346896, 'size': 128}
  • id: 150021675
    {'aut_label': '4DM', 'centralizer': None, 'counter': 285, 'group_counter': 243, 'group_order': 16384, 'label': '4DX', 'order': 4, 'powers': [33], 'representative': 5765060899617231744876, 'size': 128}
  • id: 150021676
    {'aut_label': '4DM', 'centralizer': None, 'counter': 286, 'group_counter': 243, 'group_order': 16384, 'label': '4DY', 'order': 4, 'powers': [28], 'representative': 25930218467213292970209, 'size': 128}
  • id: 150021677
    {'aut_label': '4DM', 'centralizer': None, 'counter': 287, 'group_counter': 243, 'group_order': 16384, 'label': '4DZ', 'order': 4, 'powers': [30], 'representative': 25944783867740620956368, 'size': 128}
  • id: 150021678
    {'aut_label': '4DM', 'centralizer': None, 'counter': 288, 'group_counter': 243, 'group_order': 16384, 'label': '4EA', 'order': 4, 'powers': [34], 'representative': 32725398408820992852600, 'size': 128}
  • id: 150021679
    {'aut_label': '4DM', 'centralizer': None, 'counter': 289, 'group_counter': 243, 'group_order': 16384, 'label': '4EB', 'order': 4, 'powers': [35], 'representative': 32740034988596254105096, 'size': 128}
  • id: 150021681
    {'aut_label': '4DQ', 'centralizer': None, 'counter': 290, 'group_counter': 243, 'group_order': 16384, 'label': '4EC', 'order': 4, 'powers': [36], 'representative': 38320985550054892643512, 'size': 128}
  • id: 150021682
    {'aut_label': '4DR', 'centralizer': None, 'counter': 291, 'group_counter': 243, 'group_order': 16384, 'label': '4ED', 'order': 4, 'powers': [26], 'representative': 38333233270377957195560, 'size': 128}
  • id: 150021683
    {'aut_label': '4DN', 'centralizer': None, 'counter': 292, 'group_counter': 243, 'group_order': 16384, 'label': '4EE', 'order': 4, 'powers': [35], 'representative': 38346383744917156348885, 'size': 128}
  • id: 150021684
    {'aut_label': '4DN', 'centralizer': None, 'counter': 293, 'group_counter': 243, 'group_order': 16384, 'label': '4EF', 'order': 4, 'powers': [34], 'representative': 38361083616309545684148, 'size': 128}
  • id: 150021685
    {'aut_label': '4EG', 'centralizer': None, 'counter': 294, 'group_counter': 243, 'group_order': 16384, 'label': '4EG', 'order': 4, 'powers': [31], 'representative': 108011211565826006289831, 'size': 128}
  • id: 150021686
    {'aut_label': '4EG', 'centralizer': None, 'counter': 295, 'group_counter': 243, 'group_order': 16384, 'label': '4EH', 'order': 4, 'powers': [36], 'representative': 108012107542410924059269, 'size': 128}
  • id: 150021687
    {'aut_label': '4EI', 'centralizer': None, 'counter': 296, 'group_counter': 243, 'group_order': 16384, 'label': '4EI', 'order': 4, 'powers': [13], 'representative': 108053633738156011949394, 'size': 128}
  • id: 150021688
    {'aut_label': '4EJ', 'centralizer': None, 'counter': 297, 'group_counter': 243, 'group_order': 16384, 'label': '4EJ', 'order': 4, 'powers': [138], 'representative': 108069630729332417095556, 'size': 128}
  • id: 150021689
    {'aut_label': '4EK', 'centralizer': None, 'counter': 298, 'group_counter': 243, 'group_order': 16384, 'label': '4EK', 'order': 4, 'powers': [93], 'representative': 108084164870646865923705, 'size': 128}
  • id: 150021690
    {'aut_label': '4EK', 'centralizer': None, 'counter': 299, 'group_counter': 243, 'group_order': 16384, 'label': '4EL', 'order': 4, 'powers': [94], 'representative': 108084612660085834620337, 'size': 128}
  • id: 150021693
    {'aut_label': '4EK', 'centralizer': None, 'counter': 300, 'group_counter': 243, 'group_order': 16384, 'label': '4EM', 'order': 4, 'powers': [93], 'representative': 108098717089191467671301, 'size': 128}
  • id: 150021694
    {'aut_label': '4EK', 'centralizer': None, 'counter': 301, 'group_counter': 243, 'group_order': 16384, 'label': '4EN', 'order': 4, 'powers': [94], 'representative': 108099248862905046442665, 'size': 128}
  • id: 150021695
    {'aut_label': '4EK', 'centralizer': None, 'counter': 302, 'group_counter': 243, 'group_order': 16384, 'label': '4EO', 'order': 4, 'powers': [93], 'representative': 108266586944177399047060, 'size': 128}
  • id: 150021696
    {'aut_label': '4EK', 'centralizer': None, 'counter': 303, 'group_counter': 243, 'group_order': 16384, 'label': '4EP', 'order': 4, 'powers': [94], 'representative': 108267112315423387413941, 'size': 128}
  • id: 150021697
    {'aut_label': '4EQ', 'centralizer': None, 'counter': 304, 'group_counter': 243, 'group_order': 16384, 'label': '4EQ', 'order': 4, 'powers': [25], 'representative': 108288560644755347250585, 'size': 128}
  • id: 150021698
    {'aut_label': '4EQ', 'centralizer': None, 'counter': 305, 'group_counter': 243, 'group_order': 16384, 'label': '4ER', 'order': 4, 'powers': [26], 'representative': 108289591425637287001777, 'size': 128}
  • id: 150021699
    {'aut_label': '4ES', 'centralizer': None, 'counter': 306, 'group_counter': 243, 'group_order': 16384, 'label': '4ES', 'order': 4, 'powers': [14], 'representative': 108535347989944938693823, 'size': 128}
  • id: 150021700
    {'aut_label': '4ET', 'centralizer': None, 'counter': 307, 'group_counter': 243, 'group_order': 16384, 'label': '4ET', 'order': 4, 'powers': [25], 'representative': 108548882962644156271787, 'size': 128}
  • id: 150021701
    {'aut_label': '4ET', 'centralizer': None, 'counter': 308, 'group_counter': 243, 'group_order': 16384, 'label': '4EU', 'order': 4, 'powers': [26], 'representative': 108550035034351660503222, 'size': 128}
  • id: 150021702
    {'aut_label': '4EK', 'centralizer': None, 'counter': 309, 'group_counter': 243, 'group_order': 16384, 'label': '4EV', 'order': 4, 'powers': [93], 'representative': 108624269105303297165039, 'size': 128}
  • id: 150021704
    {'aut_label': '4EK', 'centralizer': None, 'counter': 310, 'group_counter': 243, 'group_order': 16384, 'label': '4EW', 'order': 4, 'powers': [94], 'representative': 108624716893521769830236, 'size': 128}
  • id: 150021705
    {'aut_label': '4EJ', 'centralizer': None, 'counter': 311, 'group_counter': 243, 'group_order': 16384, 'label': '4EX', 'order': 4, 'powers': [138], 'representative': 108930878399059542668035, 'size': 128}
  • id: 150021706
    {'aut_label': '4EY', 'centralizer': None, 'counter': 312, 'group_counter': 243, 'group_order': 16384, 'label': '4EY', 'order': 4, 'powers': [138], 'representative': 284242923144808093074159, 'size': 256}
  • id: 150021707
    {'aut_label': '4EZ', 'centralizer': None, 'counter': 313, 'group_counter': 243, 'group_order': 16384, 'label': '4EZ', 'order': 4, 'powers': [95], 'representative': 606509255530633344970887, 'size': 256}
  • id: 150021708
    {'aut_label': '4FA', 'centralizer': None, 'counter': 314, 'group_counter': 243, 'group_order': 16384, 'label': '4FA', 'order': 4, 'powers': [96], 'representative': 14513368152769185156970, 'size': 256}
  • id: 150021709
    {'aut_label': '4EZ', 'centralizer': None, 'counter': 315, 'group_counter': 243, 'group_order': 16384, 'label': '4FB', 'order': 4, 'powers': [97], 'representative': 394327899580586276125665, 'size': 256}
  • id: 150021710
    {'aut_label': '4FC', 'centralizer': None, 'counter': 316, 'group_counter': 243, 'group_order': 16384, 'label': '4FC', 'order': 4, 'powers': [138], 'representative': 549541175228461199690030, 'size': 256}
  • id: 150021711
    {'aut_label': '4EZ', 'centralizer': None, 'counter': 317, 'group_counter': 243, 'group_order': 16384, 'label': '4FD', 'order': 4, 'powers': [98], 'representative': 270727297771949147471748, 'size': 256}
  • id: 150021712
    {'aut_label': '4FE', 'centralizer': None, 'counter': 318, 'group_counter': 243, 'group_order': 16384, 'label': '4FE', 'order': 4, 'powers': [139], 'representative': 611607307020455110124518, 'size': 256}
  • id: 150021713
    {'aut_label': '4EZ', 'centralizer': None, 'counter': 319, 'group_counter': 243, 'group_order': 16384, 'label': '4FF', 'order': 4, 'powers': [99], 'representative': 400574248871321464699893, 'size': 256}
  • id: 150021715
    {'aut_label': '4FG', 'centralizer': None, 'counter': 320, 'group_counter': 243, 'group_order': 16384, 'label': '4FG', 'order': 4, 'powers': [100], 'representative': 162015016148996288172250, 'size': 256}
  • id: 150021716
    {'aut_label': '8A', 'centralizer': None, 'counter': 321, 'group_counter': 243, 'group_order': 16384, 'label': '8A', 'order': 8, 'powers': [188], 'representative': 108303215301245754174105, 'size': 128}
  • id: 150021717
    {'aut_label': '8A', 'centralizer': None, 'counter': 322, 'group_counter': 243, 'group_order': 16384, 'label': '8B', 'order': 8, 'powers': [188], 'representative': 108648687758041619644077, 'size': 128}
  • id: 150021718
    {'aut_label': '8C', 'centralizer': None, 'counter': 323, 'group_counter': 243, 'group_order': 16384, 'label': '8C', 'order': 8, 'powers': [188], 'representative': 283666158498713916822253, 'size': 256}
  • id: 150021719
    {'aut_label': '8D', 'centralizer': None, 'counter': 324, 'group_counter': 243, 'group_order': 16384, 'label': '8D', 'order': 8, 'powers': [189], 'representative': 108857919114247073332187, 'size': 256}
  • id: 150021720
    {'aut_label': '8E', 'centralizer': None, 'counter': 325, 'group_counter': 243, 'group_order': 16384, 'label': '8E', 'order': 8, 'powers': [239], 'representative': 277291433849242523912326, 'size': 256}
  • id: 150021721
    {'aut_label': '8E', 'centralizer': None, 'counter': 326, 'group_counter': 243, 'group_order': 16384, 'label': '8F', 'order': 8, 'powers': [239], 'representative': 611936961044011042880746, 'size': 256}
  • id: 150021722
    {'aut_label': '8E', 'centralizer': None, 'counter': 327, 'group_counter': 243, 'group_order': 16384, 'label': '8G', 'order': 8, 'powers': [239], 'representative': 122459763863046701031765, 'size': 256}
  • id: 150021723
    {'aut_label': '8H', 'centralizer': None, 'counter': 328, 'group_counter': 243, 'group_order': 16384, 'label': '8H', 'order': 8, 'powers': [188], 'representative': 108942435062319037079398, 'size': 256}
  • id: 150021724
    {'aut_label': '8E', 'centralizer': None, 'counter': 329, 'group_counter': 243, 'group_order': 16384, 'label': '8I', 'order': 8, 'powers': [239], 'representative': 457410838295071633322157, 'size': 256}
  • id: 150021726
    {'aut_label': '8J', 'centralizer': None, 'counter': 330, 'group_counter': 243, 'group_order': 16384, 'label': '8J', 'order': 8, 'powers': [238], 'representative': 108243495749563839778797, 'size': 512}
  • id: 150021727
    {'aut_label': '8J', 'centralizer': None, 'counter': 331, 'group_counter': 243, 'group_order': 16384, 'label': '8K', 'order': 8, 'powers': [240], 'representative': 288988427036489499052501, 'size': 512}
• group 16384.ji does not appear in gps_qchar
• group 16384.ji does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 151539025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 16384, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '16384.ji.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16384.ji', 'subgroup_hash': 3568873400067866534, 'subgroup_order': 16384, 'subgroup_tex': 'C_2^8.D_4^2', 'supersolvable': True, 'sylow': 2}
  • id: 151539136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1340313299583012296, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^9.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wz', 'subgroup_hash': 5703109275845184620, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wy', 'subgroup_hash': 583603832557243529, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7381339457571567525, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^9.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.E', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7738283184054826196, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.xb', 'subgroup_hash': 3075723739053241243, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^{10}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 688337334962335000, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8493352921227654368, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8020268875666654126, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3694504786490349623, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5322873213019593724, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.L', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.ww', 'subgroup_hash': 3072158071192904226, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.M', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8072070052237615038, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.N', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4047648165679576297, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8192, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.O', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6330646495027062239, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.P', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.xw', 'subgroup_hash': 5126105166163391724, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.Q', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7708703892265718153, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.R', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1053921292942164711, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.S', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5120882139994264071, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.T', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1594760599981988770, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.U', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9044091469427676062, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.V', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9199536251946530004, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8192, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2.W', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5091716506938617398, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^8.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8949570248189267064, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brl', 'subgroup_hash': 8293102879189356666, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bss', 'subgroup_hash': 1584887495945038482, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brl', 'subgroup_hash': 8293102879189356666, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brl', 'subgroup_hash': 8293102879189356666, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3707192127660751519, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.brm', 'subgroup_hash': 4030980963317514532, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^{10}.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3324373091790685617, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6142237174419245561, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4643995182464307452, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3064395037025626391, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7737750167424942335, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6530729520262835189, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7166974699676378767, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1472416075045718348, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7087013141670495751, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7166974699676378767, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7655086770134740792, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5450529463172833294, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 482262761719604822, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5481770050007745686, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7782491505949892283, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6487054331357525757, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 540078156775808050, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6745260360974424817, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2960857076278541809, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6610591909634382585, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7782491505949892283, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5846156550242754513, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1960638438271779580, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5846156550242754513, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7098970280249488553, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2418793273145634335, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8650397722498112049, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6078159475502625739, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1536762040292864838, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8373174301037605459, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': 7500064338615582292, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8793876261957560542, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8793876261957560542, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqt', 'subgroup_hash': 7500064338615582292, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8715938978897474277, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8661965925618185000, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1088369820068164892, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4424325664209408834, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqu', 'subgroup_hash': 6569133561550167687, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2744012725152448402, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3017818739592338436, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqu', 'subgroup_hash': 6569133561550167687, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8661965925618185000, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3017818739592338436, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqu', 'subgroup_hash': 6569133561550167687, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3017818739592338436, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3017818739592338436, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 891167073520901499, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 672526700423678167, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2412722905991456175, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6758330370297024689, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9122467027018409562, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 829181127691454980, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3446039373792240663, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3961299502272717112, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7421683718187052047, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3961299502272717112, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3961299502272717112, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7702472070025233915, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2253429170846995745, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2526205798276548595, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7939444976553119402, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6869998607514276048, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4968133214583641334, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3619285776741629811, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4096, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 566034901670480591, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3619285776741629811, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6364051014793101614, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3619285776741629811, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4540070344397287596, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1046680804092784226, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3966735300250998243, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4900260159549655588, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3771987247643027346, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 962024108824708106, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1014282460136956687, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3314855998631703004, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 962024108824708106, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8928553005292636752, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3314855998631703004, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 962024108824708106, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6951837419457237809, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3314855998631703004, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5821851112988547942, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3859882166716299464, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4096, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6238903677799715361, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.(C_4\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 151539053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bro', 'subgroup_hash': 4649070682745569550, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.brl', 'subgroup_hash': 8293102879189356666, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2391654986310526355, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7782491505949892283, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 486639756568856365, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5995734315919194902, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6804857607958335046, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5069852918879431680, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 846429246146219610, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 846429246146219610, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bsb', 'subgroup_hash': 1091931444475190061, 'subgroup_order': 4096, 'subgroup_tex': 'D_4^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9178303711681975454, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1523087326502020967, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 608711218547484712, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6195814815651513874, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5266672665078923070, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6142237174419245561, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7737750167424942335, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1472416075045718348, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7655086770134740792, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4735367508517593324, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6121693836209623477, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5002560697201220190, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7947521493833817123, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4643995182464307452, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6530729520262835189, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7087013141670495751, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5450529463172833294, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7701508587543583390, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3319235996963903665, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7284405806994429608, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8246795404095000675, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.btl', 'subgroup_hash': 3203611671508095888, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1536762040292864838, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8373174301037605459, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8793876261957560542, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8793876261957560542, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7571062803311978783, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1893034956002702692, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4865849650579663941, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2188759204389481906, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5275629249961393343, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.btl', 'subgroup_hash': 3203611671508095888, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8661965925618185000, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqt', 'subgroup_hash': 7500064338615582292, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqt', 'subgroup_hash': 7500064338615582292, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2211366243960952462, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2266762107795888599, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7167182698745552747, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8082700337501823519, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4481612342462991940, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1702795519692772662, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3202699123719043286, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7478819307689916452, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bqs', 'subgroup_hash': 6295942919129382976, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^9.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2048, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.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': 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': '4096.bom', 'subgroup_hash': 877766064664844708, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 2048, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.N', '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': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7132462113708232860, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2048, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqo', 'subgroup_hash': 45958743261578691, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 2048, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3631152020141290723, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 2048, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4101386346374466202, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3181208321849130310, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3289699255195145867, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3181208321849130310, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3181208321849130310, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 674777540108544282, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 674777540108544282, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.k1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2933493874380797706, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8980786966962064967, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.m1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 674777540108544282, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.n1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8587774314196578653, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.o1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7807164502181888438, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.p1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7054644197577695652, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4787726111765790144, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1969822349860123513, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2831077264596776981, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 625078039969965777, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 625078039969965777, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7725853084125467987, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8159487724653818871, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.crz', 'subgroup_hash': 6531640315601047283, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1140204347853248562, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4254538686369886023, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3304587872014523456, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3424661754930359044, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7700745060743585076, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5525274773149436631, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8644473999644181470, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2371359278106432132, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 793076351467149979, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3381648624449889671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3381648624449889671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 311949364084293675, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2048, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bk1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2595200528757930140, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2048, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bl1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2595200528757930140, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bm1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': 6814437696827469544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bn1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': 6814437696827469544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bo1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': 6814437696827469544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bp1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': 6814437696827469544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bq1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cpi', 'subgroup_hash': 6814437696827469544, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.br1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5005656364538050464, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bs1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5005656364538050464, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bt1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5005656364538050464, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bu1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': 4597964228006476595, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bv1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': 4597964228006476595, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bw1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': 4597964228006476595, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bx1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cqh', 'subgroup_hash': 4597964228006476595, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^9.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.by1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cph', 'subgroup_hash': 3849116052436336088, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bz1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2371359278106432132, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ca1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cb1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cc1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cd1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 793076351467149979, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ce1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7297520174102037194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cf1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7553783824302993158, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cg1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5868484534497660251, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ch1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5868484534497660251, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ci1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3381648624449889671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cj1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ck1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cl1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3381648624449889671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cm1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cn1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7297520174102037194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.co1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2135567796837494310, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cp1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5868484534497660251, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cq1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5868484534497660251, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cr1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 569053669466145982, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cs1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8964017816200574863, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ct1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8964017816200574863, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cu1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 569053669466145982, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cv1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8964017816200574863, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cw1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8788794849307535019, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cx1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7625063956848473528, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cy1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8788794849307535019, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.cz1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8027728417859943671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.da1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8027728417859943671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.db1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8027728417859943671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2048, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dc1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8027728417859943671, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dd1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8316564320772439629, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.de1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7254943257970640497, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.df1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2855347553739554026, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dg1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3960836800213473601, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dh1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 507891727258652002, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.di1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 293114713858720143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dj1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2631790347838973912, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dk1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2926759492738742389, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dl1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7972404045327854363, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dm1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3960836800213473601, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dn1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8354085444554102600, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.do1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2631790347838973912, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dp1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7254943257970640497, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dq1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7972404045327854363, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dr1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3960836800213473601, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ds1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8354085444554102600, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dt1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2631790347838973912, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.du1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7972404045327854363, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dv1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8354085444554102600, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dw1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8354085444554102600, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dx1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7972404045327854363, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dy1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3960836800213473601, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.dz1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8354085444554102600, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ea1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4444479002640530088, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.eb1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6397308229694878318, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ec1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1231549790275966347, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ed1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4463551702121389156, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2048, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ee1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1078520300979748101, 'subgroup_order': 2048, 'subgroup_tex': 'C_2.C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ef1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6397308229694878318, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^8.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.eg1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6022161074477036422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.eh1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6022161074477036422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ei1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6022161074477036422, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ej1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6980951298821256143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ek1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6980951298821256143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.el1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6980951298821256143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.em1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6980951298821256143, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.en1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6207225476187212555, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.eo1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6207225476187212555, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ep1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6207225476187212555, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2048, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.eq1.N', '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6207225476187212555, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.er1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.es1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7297520174102037194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.et1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 2048, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.eu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7297520174102037194, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ev1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ew1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ex1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2048, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ey1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277033644739116115, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^5.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2048, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.8.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.ez1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.clu', 'subgroup_hash': 2836991351148640411, 'subgroup_order': 2048, 'subgroup_tex': 'C_2^2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539266
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 1024, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djt', 'subgroup_hash': 1957374279625110839, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^{10}', 'supersolvable': True, 'sylow': 0}
  • id: 151539267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 383163026452530714, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1024, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7193142207864635744, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1024, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4662994866550193541, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6990017178419729140, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7135465179275705767, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7135465179275705767, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 132483481770008622, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6566995612071412620, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6566995612071412620, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4501034655946560202, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7545038903226933213, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1038584953052735246, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3888751291165812546, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5310719362895929321, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1784916717962983363, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7413209623232049928, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1624115677853655046, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1648216405351837163, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8468470735587122588, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5310719362895929321, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1784916717962983363, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7135465179275705767, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6566995612071412620, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4699022528354631102, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7944806835161945798, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5258175726594515700, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5258175726594515700, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7241074993401899145, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8427459856158831162, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1024, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.djl', 'subgroup_hash': 7296783744228449167, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1024, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4662994866550193541, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^9.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bo1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4482861834573996468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6609983131627132284, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.br1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7090852423455754843, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7090852423455754843, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bt1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7241074993401899145, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.by1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.bz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ca1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5258175726594515700, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5258175726594515700, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5258175726594515700, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ce1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ch1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ci1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ck1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4098273355914596849, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4098273355914596849, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8427459856158831162, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.co1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1844816766922260468, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2240350790145274025, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cr1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7993531054218302698, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7993531054218302698, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ct1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7090852423455754843, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7090852423455754843, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4314600376051267171, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4314600376051267171, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4314600376051267171, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cy1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4314600376051267171, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.cz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2403796075545901928, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.da1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2403796075545901928, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.db1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2403796075545901928, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2403796075545901928, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5866369119962244590, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.de1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1363285425108419726, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.df1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4297422971323690767, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1024, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3312141680239455439, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.di1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5258175726594515700, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 1024, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.do1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7269904283007632911, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3250503344852316014, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^8.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dr1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ds1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8253154886425440057, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dt1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': 5313781939793747337, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.du1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4634687105336602720, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': 5313781939793747337, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dy1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': 5313781939793747337, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.dz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ea1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.eb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6156848163128456150, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ec1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8113280637293030904, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ed1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ee1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ef1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': 5313781939793747337, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.eg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4634687105336602720, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.eh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ei1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ej1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6156848163128456150, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ek1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8113280637293030904, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.el1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 1024, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.em1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.en1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6156848163128456150, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.eo1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6156848163128456150, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ep1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.eq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.er1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': 5313781939793747337, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.es1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dia', 'subgroup_hash': 5313781939793747337, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.et1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.eu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2950587288392536341, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^5.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ev1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6156848163128456150, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ew1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6156848163128456150, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ex1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^4.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1024, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ey1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1866011654519771088, 'subgroup_order': 1024, 'subgroup_tex': 'C_2.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1024, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ez1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dis', 'subgroup_hash': 6444867003695716502, 'subgroup_order': 1024, 'subgroup_tex': '(C_2^2\\wr C_2)^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.fa1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dff', 'subgroup_hash': 6084013020118845533, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.fb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dgv', 'subgroup_hash': 4293763413942745332, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.fc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.ded', 'subgroup_hash': 466083649131719045, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.fd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dft', 'subgroup_hash': 706221786500992255, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.fe1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dfv', 'subgroup_hash': 2419502970867131687, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1024, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.16.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.ff1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dfw', 'subgroup_hash': 7404740556469389925, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539417
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 512, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': 1718285292446712970, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
  • id: 151539418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': 7367214181469736260, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': 4258439049830916220, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': 7367214181469736260, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': 4258439049830916220, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': 7367214181469736260, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493082', 'subgroup_hash': 7367214181469736260, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7532419', 'subgroup_hash': 4258439049830916220, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493091', 'subgroup_hash': 7186150068166312587, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': 7037789859570401325, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421196', 'subgroup_hash': 7037789859570401325, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539435
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 512, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': 1718285292446712970, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
  • id: 151539437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': 2216133851576011484, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 512, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.514751', 'subgroup_hash': 3980588092276410429, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': 2216133851576011484, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': 6874914387587482097, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': 6874914387587482097, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': 149594049641298173, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': 149594049641298173, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533398', 'subgroup_hash': 7190526897655510174, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533398', 'subgroup_hash': 7190526897655510174, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7549041', 'subgroup_hash': 8252711855933217500, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7535005', 'subgroup_hash': 8294356380739340268, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bo1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.420649', 'subgroup_hash': 5955196378469431000, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.263109', 'subgroup_hash': 1449562658379002231, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.br1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.263109', 'subgroup_hash': 1449562658379002231, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 512, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.88536', 'subgroup_hash': 1445591272787301071, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bt1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.by1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.bz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': 2216133851576011484, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ca1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7540510', 'subgroup_hash': 6402107251872583671, 'subgroup_order': 512, 'subgroup_tex': 'C_2^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493114', 'subgroup_hash': 2216133851576011484, 'subgroup_order': 512, 'subgroup_tex': 'C_2^3\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': 149594049641298173, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ce1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.421767', 'subgroup_hash': 149594049641298173, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ch1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ci1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ck1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': 6874914387587482097, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7533398', 'subgroup_hash': 7190526897655510174, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.co1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cr1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': 6944002156004751701, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': 6944002156004751701, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ct1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': 6874914387587482097, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10493360', 'subgroup_hash': 6874914387587482097, 'subgroup_order': 512, 'subgroup_tex': 'C_4^2:C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cy1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.cz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6281316', 'subgroup_hash': 3646209208742165373, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.da1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.db1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95222', 'subgroup_hash': 3729954367827566769, 'subgroup_order': 512, 'subgroup_tex': 'C_2^5.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': 6944002156004751701, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 512, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.95264', 'subgroup_hash': 6944002156004751701, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^2.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.de1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.df1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.517075', 'subgroup_hash': 4817036966848599930, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 512, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.515979', 'subgroup_hash': 4409243358973173461, 'subgroup_order': 512, 'subgroup_tex': 'C_2\\times C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.di1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': 342028529733335859, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.554852', 'subgroup_hash': 342028529733335859, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': 645768814505686295, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41018', 'subgroup_hash': 5206436278243982164, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.do1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.41229', 'subgroup_hash': 1311698700316408213, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 512, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.49', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.555556', 'subgroup_hash': 645768814505686295, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dr1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.254238', 'subgroup_hash': 4962625485281260075, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.ds1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.46912', 'subgroup_hash': 5838289566063569499, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.dt1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.253642', 'subgroup_hash': 2441315005660048869, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 512, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.32.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.du1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.46914', 'subgroup_hash': 2132281275098495472, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539527
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': 56083, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': 55627, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': 55627, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': 55627, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539534
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56083', 'subgroup_hash': 56083, 'subgroup_order': 256, 'subgroup_tex': 'D_4\\times C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55627', 'subgroup_hash': 55627, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55626', 'subgroup_hash': 55626, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539543
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539544
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 256, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539560
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 256, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bo1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.br1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': 55652, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bt1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26991', 'subgroup_hash': 26991, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.by1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': 55652, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.bz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': 6823, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ca1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': 6823, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': 6823, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6823', 'subgroup_hash': 6823, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ce1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': 55652, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55643', 'subgroup_hash': 55643, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55652', 'subgroup_hash': 55652, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539593
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 256, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ch1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 151539594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ci1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': 55683, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ck1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.co1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7122', 'subgroup_hash': 7122, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.27633', 'subgroup_hash': 27633, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6786', 'subgroup_hash': 6786, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cr1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': 8935, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': 8935, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.ct1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': 8935, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.226', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 226, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': 8246, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': 8246, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cy1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1529', 'subgroup_hash': 1529, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.cz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1535', 'subgroup_hash': 1535, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.da1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.215', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 215, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': 8246, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.db1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8935', 'subgroup_hash': 8935, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.64.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.dc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.8246', 'subgroup_hash': 8246, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539617
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['U2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539618
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539619
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2319', 'subgroup_hash': 2319, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539620
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 128, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539621
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 128, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2163, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539628
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539630
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2163, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2177', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2177, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539646
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': 2150, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539652
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 128, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2150', 'subgroup_hash': 2150, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 151539654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 128, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2151', 'subgroup_hash': 2151, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 128, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539656
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 128, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 151539657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bl1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', '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: 151539659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bm1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', '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: 151539660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bn1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bo1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bp1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', '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: 151539663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bq1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4^2', '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: 151539664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.br1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', '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: 151539665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bs1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bt1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bu1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2163, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', '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: 151539668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bv1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', '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: 151539670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bw1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bx1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2177', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2177, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', '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: 151539672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 128, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.by1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2216', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2216, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', '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: 151539673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.bz1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2264', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2264, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ca1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': 2172, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.cb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': 170, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.cc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1135, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': 170, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.cd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', '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: 151539678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ce1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', '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: 151539679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.cf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', '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: 151539681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.cg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': 2172, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 151539682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ch1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': 170, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.128.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.ci1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.170', 'subgroup_hash': 170, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539684
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 64, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539685
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539686
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16883', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16883, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539687
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539688
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16883', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16883, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539689
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53380, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C8'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539690
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.27633', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27633, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539693
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539694
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53380, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539695
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539696
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53380, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539697
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539698
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539700
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26539, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539701
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539702
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539704
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 151539705
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.29080', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29080, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539706
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53387', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53387, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539707
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.51978', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51978, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539708
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.v1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.29080', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29080, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.w1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.30632', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30632, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.x1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.27633', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27633, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', '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: 151539711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.y1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.28334', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28334, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_2^3', '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: 151539712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.z1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.29080', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29080, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_4^2', '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: 151539713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.ba1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.30632', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30632, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_2^3', '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: 151539715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bb1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.30632', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30632, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_2^3', '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: 151539716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bc1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.51978', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51978, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:D_4^2', '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: 151539717
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 64, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bd1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.be1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53380, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', '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: 151539719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bf1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53380, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', '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: 151539720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bg1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', '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: 151539721
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 64, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bh1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 151539722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bi1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', '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: 151539723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bj1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', '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: 151539724
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 64, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.256.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.bk1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.16888', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16888, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539726
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 32, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.152421', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3640514304454655565, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['U3'], '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: 151539727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 32, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.152421', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3640514304454655565, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4', '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: 151539728
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 32, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344809', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3030424736949194728, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', '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: 151539729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344809', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3030424736949194728, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C9'], '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: 151539730
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344822', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5988529578464653856, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', '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: 151539731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.152421', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3640514304454655565, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4', '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: 151539732
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.152421', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3640514304454655565, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4', '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: 151539733
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.406983', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7717662186163716498, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', '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: 151539734
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': False, 'core_order': 32, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6209376761179717675, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', '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: 151539735
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.406983', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7717662186163716498, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', '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: 151539737
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.7530058', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5526727545486539728, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', '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: 151539738
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.7530076', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8222109897935199466, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', '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: 151539739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6480905', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 411620650426100056, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539740
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.554852', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 342028529733335859, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['L2'], '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: 151539741
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344809', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3030424736949194728, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', '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: 151539742
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344809', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3030424736949194728, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', '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: 151539743
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6407063', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6400076820063978839, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 151539744
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.r1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344809', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3030424736949194728, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6:D_4', '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: 151539745
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.s1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6407063', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6400076820063978839, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:C_2^2', '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: 151539746
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.t1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344828', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8756499239582037998, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^5', '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: 151539748
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.512.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.u1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.6344825', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1372140521679501998, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4', '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: 151539749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 16, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3568580165608488133, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['C10'], '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: 151539750
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 16, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8063758482205769586, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2', '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: 151539751
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 16, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.dej', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8063758482205769586, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4^2', '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: 151539752
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': False, 'core_order': 16, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.dej', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8063758482205769586, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4^2', '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: 151539753
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': False, 'core_order': 16, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.ded', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 466083649131719045, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', '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: 151539754
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': False, 'core_order': 16, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.diw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7317078471579688542, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', '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: 151539755
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.ded', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 466083649131719045, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7:D_4', '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: 151539756
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7143330268784273735, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_2^6.C_2^3', '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: 151539757
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 16, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2394889671283660699, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.C_2^2', '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: 151539759
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 16, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1836534437991349817, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', '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: 151539760
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2734666131921231189, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', '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: 151539761
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.l1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6384990550964289494, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', '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: 151539762
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.m1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3276212660880270040, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', '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: 151539763
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.n1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8903173649786956070, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5', '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: 151539764
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': False, 'core_order': 16, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.o1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.dej', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8063758482205769586, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4^2', '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: 151539765
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': False, 'core_order': 16, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.p1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1024.ddd', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2030510323514547549, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4^2', '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: 151539766
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.1024.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1024.q1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8100269382333541105, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_4).C_2^5', '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: 151539767
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 8, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5893222111441222706, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.C_2^4.C_2^3', '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: 151539768
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 8, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5893222111441222706, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', '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: 151539770
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': False, 'core_order': 8, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7822646973264783822, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^2', '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: 151539771
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 8, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1277033644739116115, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^6.C_2^2', '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: 151539772
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': False, 'core_order': 8, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7822646973264783822, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^4.C_2', '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: 151539773
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 8, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1895053269771031089, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', '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: 151539774
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 8, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4639691454371502174, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^2', '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: 151539775
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 8, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 758384831705803341, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'D2', 'C11'], '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: 151539776
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 4096, 'characteristic': True, 'core_order': 8, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.i1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5893222111441222706, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^5.C_2', '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: 151539777
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': False, 'core_order': 8, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.j1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 467226687731139734, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_2^6.C_2^4', '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: 151539778
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 2048, 'characteristic': False, 'core_order': 8, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.2048.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2048.k1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1007083377947366437, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 2048, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^2', '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: 151539779
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': False, 'core_order': 4, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4096.bom', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 877766064664844708, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.D_4^2', '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: 151539781
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 4, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6415082256942743590, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U4'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 151539782
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.c1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 756757896697802381, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^4', '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: 151539783
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.d1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1806642158219112905, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_2^6.C_2^5', '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: 151539784
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.e1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1342274984487973194, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^3.C_2^4', '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: 151539785
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.f1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4735367508517593324, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_2^6.C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['C12'], '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: 151539786
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.g1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1330209173267581453, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^5.C_2', '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: 151539787
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 8192, 'characteristic': True, 'core_order': 4, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '16384.ji.4096.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4096.h1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3964444920893446827, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 4096, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^6.C_2^5.C_2', '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: 151539788
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': False, 'core_order': 2, 'counter': 787, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '16384.ji.8192.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '8192.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8192.xw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5126105166163391724, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^7.D_4^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539789
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 2, 'counter': 788, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '16384.ji.8192.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '8192.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7605315670678915362, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 8192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.C_2^6.C_2^2', 'simple': True, 'solvable': True, 'special_labels': ['L4', 'C13'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 151539790
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '16384.ji', 'ambient_counter': 243, 'ambient_order': 16384, 'ambient_tex': 'C_2^8.D_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 16384, 'characteristic': True, 'core_order': 1, 'counter': 789, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '16384.ji.16384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16384.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '16384.ji', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3568873400067866534, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 16384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^8.D_4^2', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U5', 'L5', 'D3', 'C14'], '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: 151539766
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1024.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [324668070432231449864808, 845869342738508943, 182441767239810358568120, 201304147925757762695055], 'label': '16384.ji.1024.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.Q', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539767
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.2048.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539768
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323821388136421718302597, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.2048.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.B', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539730
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443169715568398823436, 323820677096353157197813, 845869342738508943, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.E', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539731
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.F', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539732
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182734989926343053674902, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.G', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539025
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, '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': None}
  • id: 151539026
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539027
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539028
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182399927371421911143447, 182847116465593175517699, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539029
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CZ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182399927371421911143447, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539030
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.DA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 599891211453330392365845, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539031
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539032
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 182847116465593175517699, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539033
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 134142315484234906319451, 845869342738508943], 'label': '16384.ji.4.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539034
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 599458031446529845021239, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539035
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 182410152673480234392591, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539036
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539037
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 374324123138865199502, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539038
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539039
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 311994407647068258916874, 182410152673480234392591, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539040
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539041
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 182410152673480234392591, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539042
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 182833120519303726656435, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539043
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539044
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539045
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 599902652473889709501767, 845869342738508943, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539046
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539047
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 599902652473889709501767, 845869342738508943, 323820677096353157197813, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539048
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539049
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539050
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539051
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 599902652473889709501767, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539052
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.DU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.DU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539053
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DV', 'subgroup_fusion': None, 'weyl_group': '512.7536911'}
  • id: 151539054
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DW', 'subgroup_fusion': None, 'weyl_group': '1024.dia'}
  • id: 151539055
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 32680369081035937788737, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539056
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.Q', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 32680369081035937788737, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539057
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [311966415757015608648984, 384657530991126059556, 201304147925757762695055, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 45658861296043562705594, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539058
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 33101029104532181582, 323820677096353157197813, 47090215146113603582, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539059
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.2.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539060
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539061
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 33101029104532181582, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539062
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 33101029104532181582, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539063
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 954691096569542647634, 33101029104532181582, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539064
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EF', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539065
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EG', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539066
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EH', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539067
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 954691096569542647634, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EI', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539068
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.V', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [467427491397158474430818, 954691096569542647634, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.L', 'old_label': '4.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539069
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.W', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 182410152673480234392591, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.L', 'old_label': '4.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539070
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.2.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539071
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 182720571423967609923221, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EL', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539072
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 182720571423967609923221, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 924151396542354098208], 'label': '16384.ji.4.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EM', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539073
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 924151396542354098208], 'label': '16384.ji.4.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EN', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539074
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EO', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539075
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 182720571423967609923221, 1037289909862010227976, 936924130571069926370, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EP', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539076
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 182720571423967609923221, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EQ', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539077
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Z', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.ER', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539078
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 1037289909862010227976, 845869342738508943, 323820677096353157197813, 936924130571069926370, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.ES', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539079
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 33101029104532181582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.4.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.et1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.ET', 'subgroup_fusion': None, 'weyl_group': '1024.dia'}
  • id: 151539080
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311966415757015608648984, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.4.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.eu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EU', 'subgroup_fusion': None, 'weyl_group': '1024.dia'}
  • id: 151539081
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.2.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539082
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311966415757015608648984, 133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.ev1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EV', 'subgroup_fusion': None, 'weyl_group': '1024.dia'}
  • id: 151539083
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.ew1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EW', 'subgroup_fusion': None, 'weyl_group': '1024.dia'}
  • id: 151539084
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ex1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EX', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539085
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.4.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ey1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EY', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539086
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ez1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.EZ', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539087
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FA', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539088
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BJ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 33101029104532181582, 311982851383775049696678, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.fb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539089
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.fc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539090
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 33101029104532181582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.fd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539091
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 33101029104532181582, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.fe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539092
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 599891211453330392365845, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120], 'label': '16384.ji.2.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539093
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 954691096569542647634, 33101029104532181582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.4.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.ff1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539094
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FG', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539095
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.4.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FH', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539096
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FI', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539097
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.4.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FJ', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539098
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BJ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [467427491397158474430818, 954691096569542647634, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.L', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.L', 'old_label': '4.fk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539099
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BY', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 32695696405252818186142, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.fl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539100
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BY', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 32695696405252818186142, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.fm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539101
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ER', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311966415757015608648984, 133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.4.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.fn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FN', 'subgroup_fusion': None, 'weyl_group': '6144.bjl'}
  • id: 151539102
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ES', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 33101029104532181582, 47090215146113603582, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.4.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.fo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FO', 'subgroup_fusion': None, 'weyl_group': '6144.bjl'}
  • id: 151539103
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 16678939377614161260, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539104
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ET', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.fp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FP', 'subgroup_fusion': None, 'weyl_group': '6144.bjl'}
  • id: 151539733
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '512.H', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 936924130571069926370, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.H', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539105
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311966415757015608648984, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.fq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FQ', 'subgroup_fusion': None, 'weyl_group': '6144.bjl'}
  • id: 151539106
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ER', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FR', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539107
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ES', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.4.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FS', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539108
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ET', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ft1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FT', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539109
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FU', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539110
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 182720571423967609923221, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 924151396542354098208], 'label': '16384.ji.4.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.fv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FV', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539111
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 182720571423967609923221, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.fw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FW', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539112
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.fx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FX', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539113
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EY', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 924151396542354098208], 'label': '16384.ji.4.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.fy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FY', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539114
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539115
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 182720571423967609923221, 1037289909862010227976, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.fz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.FZ', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539116
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 182720571423967609923221, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.ga1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.GA', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539117
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.gb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.GB', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539118
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EY', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 1037289909862010227976, 845869342738508943, 323820677096353157197813, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.H', 'old_label': '4.gc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.GC', 'subgroup_fusion': None, 'weyl_group': '2048.crc'}
  • id: 151539119
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 16, 'contained_in': None, 'contains': None, 'core': '8.EZ', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 33101029104532181582, 47090215146113603582, 630993488558925817152, 311994407647068258916874, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.gd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.GD', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 151539120
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 16, 'contained_in': None, 'contains': None, 'core': '8.EZ', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.P', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.P', 'old_label': '4.ge1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539121
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33101029104532181582, 47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539122
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 32980949150059297993941, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539123
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539124
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539125
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.2.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539126
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539127
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539128
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539129
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182847116465593175517699, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539130
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539131
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 182807453403677419469139, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539132
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539133
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539134
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 133890265046975328580865, 182441767239810358568120], 'label': '16384.ji.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539135
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539136
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539137
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539138
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 599865544316969147414731, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539139
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [599468249656392407276107, 954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539140
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 32680369081035937788737, 201304147925757762695055, 32980949150059297993941, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539141
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539142
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 312373935742510312829364, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539143
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539144
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 954691096569542647634, 47090215146113603582, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.8.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539145
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [467427491397158474430818, 954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.8.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539146
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 47090215146113603582, 45658861296043562705594, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.8.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539147
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.8.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539148
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 182399927371421911143447, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.2.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539149
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.8.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539150
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539151
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 140402900429826970636579, 182441767239810358568120, 201304147925757762695055, 936924130571069926370, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539152
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.8.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BB', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539153
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.8.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BC', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539154
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.8.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BD', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539155
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.8.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BE', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539156
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.8.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539157
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.8.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539158
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539159
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 134142315484234906319451, 845869342738508943], 'label': '16384.ji.2.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539160
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 312373935742510312829364, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.8.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539161
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BJ', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [467427491397158474430818, 954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.8.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539162
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 16678939377614161260, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BK', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539163
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BL', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539164
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539165
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [16678939377614161260, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539166
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 16678939377614161260, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BO', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539419
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 32980949150059297993941, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539167
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539168
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539169
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 399869593489409016998, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.br1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539170
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 182399927371421911143447, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.2.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539171
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 133890265046975328580865, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BS', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539172
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182833120519303726656435, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539173
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 599891211453330392365845, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539174
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 599902652473889709501767, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539175
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 599498789311503575498591, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BW', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539176
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.BX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 16678939377614161260, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BX', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539177
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '8.BY', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 32680369081035937788737, 201304147925757762695055, 32695696405252818186142, 32980949150059297993941, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.by1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539178
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.BZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.BZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.bz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539179
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ca1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539180
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.8.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CB', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539181
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 599891211453330392365845, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120], 'label': '16384.ji.2.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539182
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539183
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539184
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ce1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CE', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539185
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 358990415465449125180, 353027640065206021496, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539186
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 134118959624389751961583, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.8.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539420
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539187
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133873964250249205352101, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ch1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CH', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539188
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ci1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539189
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539190
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 133904619169029066466030, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ck1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CK', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539191
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539192
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539193
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CM', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [599891211453330392365845, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539194
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.CN', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 599458031446529845021239, 353027640065206021496], 'label': '16384.ji.8.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CN', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539195
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182807453403677419469139, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.co1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539196
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 599865544316969147414731, 353027640065206021496], 'label': '16384.ji.8.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539197
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 599468249656392407276107, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CQ', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539198
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 182427919261629271578329, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539199
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182427919261629271578329, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539200
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182427919261629271578329, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ct1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CT', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539201
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 182847116465593175517699, 201304147925757762695055, 182427919261629271578329, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539202
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 599865544316969147414731, 353027640065206021496], 'label': '16384.ji.8.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539203
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539204
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 182807453403677419469139, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539205
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [599468249656392407276107, 954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CX', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539206
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CY', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182833120519303726656435, 1415680673528071741, 311994407647068258916874, 182410152673480234392591, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cy1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539421
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 45984756350045375125618, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.E', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539207
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.CZ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 134118959624389751961583, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.CZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.cz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539208
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.da1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539209
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599498789311503575498591, 1415680673528071741, 311994407647068258916874, 133890265046975328580865, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.db1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DB', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539210
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 182427919261629271578329, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DC', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539211
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539212
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.de1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539213
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.df1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539214
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539215
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 134118959624389751961583, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539216
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539217
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599877100622100740858495, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.di1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539218
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539219
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 399869593489409016998, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539220
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 182833120519303726656435, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539221
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 358990415465449125180, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539222
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 182819009332896228046522, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539223
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.do1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539224
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DP', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 133904619169029066466030, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539225
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539226
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539227
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539228
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599877100622100740858495, 1415680673528071741, 311994407647068258916874, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ds1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539229
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539230
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 182847116465593175517699, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.du1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539231
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 134118959624389751961583, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.8.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539232
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 182847116465593175517699, 201304147925757762695055, 599877100622100740858495, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539233
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.DX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 599458031446529845021239, 353027640065206021496], 'label': '16384.ji.8.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539234
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DY', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 374324123138865199502, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dy1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539235
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.DZ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 599468249656392407276107, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.8.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.DZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.dz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539236
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539237
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ea1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539238
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 133890265046975328580865, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.eb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539239
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ec1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539240
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.ED', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [599468249656392407276107, 954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.ED', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ed1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539241
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ee1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539242
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ef1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539243
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 599865544316969147414731, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.eg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539244
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [599468249656392407276107, 954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182833120519303726656435, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.eh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539245
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182833120519303726656435, 1415680673528071741, 311994407647068258916874, 599865544316969147414731, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ei1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539246
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ej1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539247
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539248
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 599891211453330392365845, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539249
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ek1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539250
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599498789311503575498591, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.el1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539251
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 599865544316969147414731, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.em1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539252
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133873964250249205352101, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.en1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539253
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599498789311503575498591, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.eo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539254
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 134118959624389751961583, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.8.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ep1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539255
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4096.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.EQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 311994407647068258916874, 133890265046975328580865, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.8.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.eq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539256
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ER', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.8.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.ER', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.er1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ER', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539257
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ES', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 467401824280137223085141, 47090215146113603582, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.8.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.ES', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.es1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ES', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539258
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.ET', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.8.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.ET', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.et1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ET', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539259
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.G', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539260
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 145679920034194955733576, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.8.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.eu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EU', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539261
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.8.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ev1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539262
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 140402900429826970636579, 182441767239810358568120, 201304147925757762695055, 182720571423967609923221, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.8.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ew1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539263
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ex1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539264
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.EY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [140402900429826970636579, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.8.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ey1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539265
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': None, 'contains': None, 'core': '8.EZ', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 16678939377614161260, 182441767239810358568120, 201304147925757762695055, 134500681942174595379307, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.8.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.EZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.ez1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539266
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33101029104532181582, 47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539267
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539268
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 353027640065206021496], 'label': '16384.ji.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539269
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 32680369081035937788737, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539270
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539271
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 32969149576172344345336, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539272
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539273
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539274
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539275
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539276
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539277
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 466579505187396996374396, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539278
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [467427491397158474430818, 954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539279
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539280
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 182410152673480234392591, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539281
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539282
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 466593488345771146659805, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539283
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539284
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539285
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539286
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539287
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 606007525335567123361625, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539288
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [599891211453330392365845, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539289
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539290
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539291
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539292
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.J', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539293
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Y', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539294
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 612465667624441901046831, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.16.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Z', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539295
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.16.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BA', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539296
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752, 311982851383775049696678], 'label': '16384.ji.16.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539297
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539298
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539299
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 954691096569542647634, 182847116465593175517699, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539300
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 312373935742510312829364, 954691096569542647634, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 311982851383775049696678], 'label': '16384.ji.16.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539301
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 466579505187396996374396, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539302
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 182410152673480234392591, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BH', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539303
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 374324123138865199502, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539304
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539305
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 182807453403677419469139, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539306
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BK', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539307
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 32680369081035937788737, 201304147925757762695055, 32695696405252818186142, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BL', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539308
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BM', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 32980949150059297993941, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.16.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BM', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539309
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.BN', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 32997378397203869452221, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.16.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BN', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539310
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BO', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539311
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BP', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539312
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539313
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BR', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 312389269450183728863360, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.br1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539314
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539315
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BS', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 182443246543919657534752, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539316
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BT', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539317
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.BU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182427919261629271578329, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BU', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539318
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539319
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539320
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 133904619169029066466030, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BX', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539321
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.by1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539322
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.BZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.BZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.bz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539323
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 399869593489409016998, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ca1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539324
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 133864962866750355865741, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CB', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539325
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 133890265046975328580865, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.M', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539326
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182833120519303726656435, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539327
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 358990415465449125180, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539328
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182819009332896228046522, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ce1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539329
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [599891211453330392365845, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539330
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134118959624389751961583, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539331
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 133873964250249205352101, 353027640065206021496], 'label': '16384.ji.16.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ch1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CH', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539332
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 599902652473889709501767, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ci1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539333
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 599498789311503575498591, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CJ', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539334
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 599458031446529845021239, 353027640065206021496], 'label': '16384.ji.16.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ck1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CK', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539335
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 599877100622100740858495, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539336
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539337
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 599486010551355382720413, 353027640065206021496], 'label': '16384.ji.16.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CM', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539338
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 353027640065206021496], 'label': '16384.ji.16.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539339
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '16.CO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32969149576172344345336, 32695696405252818186142, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.16.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.co1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539340
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.CP', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 32680369081035937788737, 201304147925757762695055, 32980949150059297993941, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539341
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.CQ', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 32680369081035937788737, 1415680673528071741, 32997378397203869452221, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539342
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CR', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539343
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CS', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539344
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 466579505187396996374396, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ct1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539345
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 312373935742510312829364, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539346
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539347
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539348
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539349
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539350
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467417023160648951348018, 353027640065206021496], 'label': '16384.ji.16.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cy1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539351
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.CZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.CZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.cz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539352
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 312389269450183728863360, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141, 353027640065206021496], 'label': '16384.ji.16.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.da1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539353
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 466579505187396996374396, 467417023160648951348018, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.db1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539354
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539734
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '512.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 182441767239810358568120, 954691096569542647634, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.I', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151539355
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.DD', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 467386733529999055565333, 201304147925757762695055, 182441767239810358568120, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539356
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.DE', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 182807453403677419469139, 312389269450183728863360, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.de1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539357
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.DF', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182427919261629271578329, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 312373935742510312829364, 845869342738508943], 'label': '16384.ji.16.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.df1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539358
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539359
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.P', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539360
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '16.DG', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 312389269450183728863360, 1415680673528071741, 201304147925757762695055, 466593488345771146659805, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.16.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539361
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DH', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539362
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.16.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.di1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539363
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.16.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DJ', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539364
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DK', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539365
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 47090215146113603582, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.16.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DL', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539366
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DM', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 47090215146113603582, 612465667624441901046831, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120], 'label': '16384.ji.16.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DM', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539367
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DN', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.16.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DN', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539368
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.do1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DO', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539369
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DP', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539370
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539371
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 140402900429826970636579, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539372
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DR', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 606007525335567123361625, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539373
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DS', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.16.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ds1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539374
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DT', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539375
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145693800735048943450296, 467401824280137223085141, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.du1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DU', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539735
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '512.J', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48505517882110131572, 845869342738508943, 480405554653178546287268, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.J', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539376
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DV', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539377
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 467401824280137223085141, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DW', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539378
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.16.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539379
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [140416889974252806658726, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.16.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dy1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539380
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.DZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.16.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.DZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.dz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539381
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539382
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.16.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ea1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539383
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 353027640065206021496, 1415680673528071741, 311712792487194204910254, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.16.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.eb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EB', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539384
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145693800735048943450296, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ec1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EC', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539385
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.ED', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.ED', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ed1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ED', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539386
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ee1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EE', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539387
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ef1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EF', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539388
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 612465667624441901046831, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.eg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EG', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539389
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.eh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EH', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539390
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182399927371421911143447, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ei1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EI', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539391
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ej1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EJ', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539392
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182410152673480234392591, 182441767239810358568120], 'label': '16384.ji.4.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.S', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539393
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ek1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EK', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539394
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 612465667624441901046831, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.el1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EL', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539395
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EM', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.em1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EM', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539396
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EN', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.en1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539397
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [140416889974252806658726, 353027640065206021496, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.eo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539398
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EP', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 140402900429826970636579, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ep1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539399
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.eq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539400
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.ER', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.ER', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.er1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539401
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.ES', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [140416889974252806658726, 353027640065206021496, 32649822641266472339535, 606007525335567123361625, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.ES', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.es1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539402
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.ET', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.ET', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.et1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539403
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539404
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [599891211453330392365845, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.eu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539405
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182733343803636824907220, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ev1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539406
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [140416889974252806658726, 353027640065206021496, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ew1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539407
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182733343803636824907220, 32649822641266472339535, 353027640065206021496, 140402900429826970636579, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ex1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539408
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.EY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 606007525335567123361625, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.16.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ey1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539409
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.EZ', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 16678939377614161260, 182441767239810358568120, 201304147925757762695055, 182143992485163235498023, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.EZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ez1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.EZ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539410
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.FA', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 16678939377614161260, 182441767239810358568120, 201304147925757762695055, 134500681942174595379307, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.FA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.fa1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539411
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.FB', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 16678939377614161260, 182441767239810358568120, 201304147925757762695055, 599545745778127532808897, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.FB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.fb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539412
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.FC', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 134500681942174595379307, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.16.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.FC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.fc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539413
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.FD', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 134118959624389751961583, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.16.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.FD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.fd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539414
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539415
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.FE', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 182427919261629271578329, 134500681942174595379307, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.16.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.FE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.fe1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539416
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': None, 'contains': None, 'core': '16.FF', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 599545745778127532808897, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 134118959624389751961583, 845869342738508943], 'label': '16384.ji.16.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.FF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.ff1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539417
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539418
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539422
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.F', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539423
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 33550227610763755222324, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.G', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539424
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.H', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539425
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539426
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.I', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539427
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.J', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539428
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.K', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539429
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 466560014214286387157102, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.L', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539430
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141, 353027640065206021496], 'label': '16384.ji.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.M', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539431
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.N', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539432
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.O', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539433
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 954691096569542647634, 32980949150059297993941, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.P', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539434
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 45984756350045375125618, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311982851383775049696678, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Q', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539435
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.R', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33101029104532181582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.R', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539436
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 599865544316969147414731, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539437
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.S', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539438
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.T', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539439
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.U', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539440
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.V', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 353027640065206021496], 'label': '16384.ji.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.V', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539441
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.W', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 32997378397203869452221, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.W', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539442
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 32680369081035937788737, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.X', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539443
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.Y', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 32957714937842283772581, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Y', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539765
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '1024.P', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [845869342738508943, 182441767239810358568120, 954691096569542647634, 201304147925757762695055], 'label': '16384.ji.1024.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.P', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151539444
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Z', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539445
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539446
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182847116465593175517699, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539447
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539448
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141, 353027640065206021496], 'label': '16384.ji.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539449
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467417023160648951348018, 353027640065206021496], 'label': '16384.ji.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BD', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539450
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 399869593489409016998, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539451
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 182833120519303726656435, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539452
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 312389269450183728863360, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539453
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 312373935742510312829364, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539454
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 466565265929896761635392, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539455
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 466579505187396996374396, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539456
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 954691096569542647634, 32980949150059297993941, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539457
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 45984756350045375125618, 182441767239810358568120, 201304147925757762695055, 32695696405252818186142, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539458
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539459
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 467386733529999055565333, 201304147925757762695055, 182441767239810358568120, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BM', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539460
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 312373935742510312829364, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539461
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45646094983989605975309, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 32980949150059297993941, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539462
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 182427919261629271578329, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BP', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539463
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 312389269450183728863360, 1415680673528071741, 201304147925757762695055, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539464
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.BR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 45984756350045375125618, 45646094983989605975309, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.br1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539465
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.D', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.BS', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 353027640065206021496, 466605044254154343605848, 201304147925757762695055, 182441767239810358568120, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539466
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BT', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539467
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BU', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539468
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 311753550354447467884526, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.32.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BV', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539469
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.2.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539470
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 182807453403677419469139, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539471
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311753550354447467884526, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.32.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BW', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539472
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 466560014214286387157102, 311753550354447467884526, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BX', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539473
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 311753550354447467884526, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.by1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BY', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539474
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.BZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.32.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.BZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.bz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BZ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539475
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ca1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539476
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [353027640065206021496, 182441767239810358568120, 201304147925757762695055, 33550227610763755222324, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539477
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.32.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539478
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 466560014214286387157102, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CD', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539479
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.32.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ce1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CE', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539480
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 467401824280137223085141, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CF', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539481
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 599891211453330392365845, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539482
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.32.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CG', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539483
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.32.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ch1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CH', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539484
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.32.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ci1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539485
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CJ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539486
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 467417023160648951348018, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ck1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CK', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539487
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 133904619169029066466030, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CL', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539488
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CM', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145693800735048943450296, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CM', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539489
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CN', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CN', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539490
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 145679920034194955733576, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.co1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CO', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539491
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CP', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 599498789311503575498591, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CP', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539492
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120], 'label': '16384.ji.4.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539493
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 612465667624441901046831, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CQ', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539494
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CR', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 599458031446529845021239, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CR', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539495
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2048.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CS', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 612450461985253609589749, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CS', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539496
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ct1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CT', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539497
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CU', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539498
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134155209864517598069833, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539499
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182733343803636824907220, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CW', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539500
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [140416889974252806658726, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539501
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cy1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539502
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.CZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 134142315484234906319451, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.CZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.cz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539503
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 599865544316969147414731, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539504
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 606007525335567123361625, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.da1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539505
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 599902652473889709501767, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.db1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539506
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [599891211453330392365845, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539507
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 605994630913445601892121, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539508
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.de1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DE', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539509
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141, 353027640065206021496], 'label': '16384.ji.32.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.df1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DF', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539510
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.DG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 466560014214286387157102, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.32.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DG', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539628
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 311753550354447467884526, 353027640065206021496], 'label': '16384.ji.128.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.K', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539511
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 340261683980501407404], 'label': '16384.ji.32.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DH', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539512
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DI', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [954691096569542647634, 182441767239810358568120, 201304147925757762695055, 32949319655365704445342, 322501498205129664198, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.di1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539513
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DJ', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.32.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DJ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539514
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120], 'label': '16384.ji.4.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539515
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DK', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 312288788806091246775072], 'label': '16384.ji.32.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DK', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539516
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DL', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [630993488558925817152, 182155427481428598711785, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DL', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539517
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DM', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [134500681942174595379307, 323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.32.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539518
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DN', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 182441767239810358568120, 201304147925757762695055, 599545745778127532808897, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539519
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DO', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [630993488558925817152, 32649822641266472339535, 134486449464442370595690, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.do1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539520
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DP', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 599507177857728010690305, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.32.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539521
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DQ', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [182155427481428598711785, 311712792487194204910254, 182441767239810358568120, 201304147925757762695055, 32949319655365704445342, 1415680673528071741, 312288788806091246775072, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.32.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DQ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539522
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DR', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [134500681942174595379307, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 183044147386964477330620], 'label': '16384.ji.32.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539523
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DS', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 183044147386964477330620], 'label': '16384.ji.32.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.ds1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539524
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DT', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [134500681942174595379307, 182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.32.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.dt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539525
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 599865544316969147414731, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539526
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '32.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '32.DU', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.32.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.DU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.du1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539527
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.A', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539528
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.B', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539529
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.C', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539530
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.D', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539531
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.64.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.E', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539532
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 33550227610763755222324, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.F', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539533
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 45322967123152227517711, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.G', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539534
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 936924130571069926370, 956061582555869445461, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.H', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539535
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.I', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539536
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.4.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539537
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 936924130571069926370, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.64.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.J', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539538
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 2311634918195337183, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.K', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539539
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.L', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 32980949150059297993941, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.L', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539540
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 955856707863374869776, 33632948048236308888250, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.M', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539541
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.N', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 32980949150059297993941, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.N', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539542
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 955856707863374869776, 33632948048236308888250, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.O', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539543
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.P', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539544
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Q', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539545
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.R', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539546
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.S', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539547
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 599865544316969147414731, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539548
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 384657530991126059556, 353027640065206021496], 'label': '16384.ji.64.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.T', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539549
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 32997378397203869452221, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.U', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539550
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.64.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.V', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539551
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [45646094983989605975309, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.W', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539552
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.X', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 46001307220053664178720, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.X', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539553
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.Y', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 312373935742510312829364, 353027640065206021496], 'label': '16384.ji.64.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Y', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539554
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.64.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Z', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539555
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 311753550354447467884526, 353027640065206021496], 'label': '16384.ji.64.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539556
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 311753550354447467884526, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539557
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 1415680673528071741, 201304147925757762695055, 311753550354447467884526, 353027640065206021496], 'label': '16384.ji.64.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539558
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 599891211453330392365845, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 133890265046975328580865, 182441767239810358568120], 'label': '16384.ji.4.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539559
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45322967123152227517711, 1415680673528071741, 311753550354447467884526, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BD', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539560
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BE', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539561
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BF', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539562
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BG', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539563
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BH', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.64.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BH', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539564
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45322967123152227517711, 1415680673528071741, 323820677096353157197813, 47090215146113603582, 845869342738508943], 'label': '16384.ji.64.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539565
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BJ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.64.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BJ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539566
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BK', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BK', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539567
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 353027640065206021496, 45646094983989605975309, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BL', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539568
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BM', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [311712792487194204910254, 353027640065206021496, 182441767239810358568120, 201304147925757762695055, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BM', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539569
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.BI', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120], 'label': '16384.ji.4.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539570
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BN', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BN', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539571
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BO', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539572
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BP', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 33535021993107419713925, 353027640065206021496], 'label': '16384.ji.64.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BP', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539573
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BQ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539574
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BR', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.br1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BR', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539575
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BS', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BS', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539576
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BT', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BT', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539577
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 45322967123152227517711, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BU', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539578
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.64.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BV', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539579
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 33550227610763755222324, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BW', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539580
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 599891211453330392365845, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.2.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539581
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539582
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BX', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539583
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182733343803636824907220, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.by1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BY', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539584
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.BZ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 466560014214286387157102, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.BZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.bz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BZ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539585
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467417023160648951348018, 353027640065206021496], 'label': '16384.ji.64.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ca1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539586
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 466514140450300077598591, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539587
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141, 353027640065206021496], 'label': '16384.ji.64.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539588
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 956061582555869445461, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.64.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CD', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539589
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 182733837142027177725434, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ce1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CE', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539590
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.64.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CF', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539591
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.CG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 2311634918195337183, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.64.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CG', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539592
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539593
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 322501498205129664198, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.64.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ch1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CH', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539594
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CI', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 182720571423967609923221], 'label': '16384.ji.64.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ci1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539595
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CJ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539596
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [630993488558925817152, 182441767239810358568120, 201304147925757762695055, 32949319655365704445342, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ck1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CK', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539597
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CL', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 32680369081035937788737, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.64.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CL', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539598
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 312288788806091246775072], 'label': '16384.ji.64.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CM', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539599
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311712792487194204910254, 182441767239810358568120, 201304147925757762695055, 32949319655365704445342, 1415680673528071741, 312288788806091246775072, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CN', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539600
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CO', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141], 'label': '16384.ji.64.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.co1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CO', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539601
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CP', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [630993488558925817152, 467386733529999055565333, 201304147925757762695055, 182441767239810358568120, 45658861296043562705594, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.64.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CP', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539602
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CQ', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 182707670284147984169813, 1415680673528071741, 201304147925757762695055, 45658861296043562705594], 'label': '16384.ji.64.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CQ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539603
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BL', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539604
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CR', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311447727838872839670062, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 183044147386964477330620], 'label': '16384.ji.64.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cr1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CR', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539605
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 182720571423967609923221], 'label': '16384.ji.64.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CS', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539606
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 183044147386964477330620, 312288788806091246775072], 'label': '16384.ji.64.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.ct1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CT', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539607
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.CU', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 311447727838872839670062, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CU', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539608
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CV', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539609
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134500681942174595379307, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539610
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 140402900429826970636579, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539611
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CY', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 606007525335567123361625, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cy1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539612
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1024.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.CZ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 599545745778127532808897, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.64.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.CZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.cz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539613
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.DA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 312288788806091246775072], 'label': '16384.ji.64.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.DA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.da1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539614
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539615
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.DB', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 956061582555869445461, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 466515907505405975318430], 'label': '16384.ji.64.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.DB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.db1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539616
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '64.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '64.DC', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 2311634918195337183, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 466515907505405975318430], 'label': '16384.ji.64.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.DC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.dc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539617
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.A', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539618
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 936924130571069926370, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.B', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539619
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.C', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539620
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.D', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539621
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.E', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539622
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32980949150059297993941, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.F', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539623
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33622602187293617737570, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.G', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539624
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 32997378397203869452221, 845869342738508943, 182441767239810358568120, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.H', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539625
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 399869593489409016998, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539626
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.I', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 955856707863374869776, 33632948048236308888250, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.I', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539627
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.J', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539629
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [47090215146113603582, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.L', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539630
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.M', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539631
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.N', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539632
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311982851383775049696678, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.O', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539633
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.P', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539634
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 33535021993107419713925, 353027640065206021496], 'label': '16384.ji.128.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.Q', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539635
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 45658861296043562705594, 353027640065206021496], 'label': '16384.ji.128.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.R', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539636
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 133864962866750355865741, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BO', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539637
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.S', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539638
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 45322967123152227517711, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.T', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539639
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 45366285626120733781112, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.U', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539640
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 32695696405252818186142, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.V', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539641
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [45646094983989605975309, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.W', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539642
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 956061582555869445461, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.X', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539643
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.Y', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539644
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.Z', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539645
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443246543919657534752, 323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539646
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BB', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 46475209432073366374, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BB', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539647
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 182399927371421911143447, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539648
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BC', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496, 182720571423967609923221], 'label': '16384.ji.128.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539649
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BD', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182399927371421911143447, 323820677096353157197813, 845869342738508943, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BD', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539650
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182733343803636824907220, 323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BE', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539651
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 2311634918195337183, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BF', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539652
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BG', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 937071761847020472819, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.128.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BG', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539653
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.BH', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [355675051380706840637323, 845869342738508943, 480405554653178546287268, 936924130571069926370, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.128.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BH', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539654
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '512.I', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.BI', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 32980949150059297993941, 955856707863374869776, 201304147925757762695055, 324655290915518913916585, 353027640065206021496], 'label': '16384.ji.128.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BI', 'subgroup_fusion': None, 'weyl_group': '512.7530050'}
  • id: 151539655
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 954691096569542647634, 311994407647068258916874, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BJ', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539656
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311712792487194204910254, 1415680673528071741, 201304147925757762695055, 312288788806091246775072], 'label': '16384.ji.128.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BK', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539657
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BL', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.128.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bl1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BL', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539658
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182399927371421911143447, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539659
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BM', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bm1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BM', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539660
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 45658861296043562705594], 'label': '16384.ji.128.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bn1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BN', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539661
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BO', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [630993488558925817152, 182441767239810358568120, 201304147925757762695055, 45322967123152227517711, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.128.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bo1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BO', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539662
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 182720571423967609923221], 'label': '16384.ji.128.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bp1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BP', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539663
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BQ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311447727838872839670062, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.128.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bq1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BQ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539664
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311712792487194204910254, 182441767239810358568120, 201304147925757762695055, 32949319655365704445342, 1415680673528071741, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.128.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.br1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BR', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539665
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 311712792487194204910254, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bs1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BS', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539666
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33550227610763755222324, 311447727838872839670062, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bt1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BT', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539667
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BU', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.128.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bu1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BU', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539668
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32949319655365704445342, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bv1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BV', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539669
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 182399927371421911143447, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BR', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539670
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33226651270029542450523, 311994407647068258916874, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bw1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BW', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539671
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BX', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 312288788806091246775072], 'label': '16384.ji.128.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bx1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BX', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539672
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.BY', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32949319655365704445342, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 312288788806091246775072], 'label': '16384.ji.128.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.by1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BY', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539673
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.BZ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33226651270029542450523, 1415680673528071741, 201304147925757762695055, 312288788806091246775072], 'label': '16384.ji.128.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.BZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.bz1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.BZ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539674
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 182143992485163235498023, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.128.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.ca1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539675
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 466825194104120146527889, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.128.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.cb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539676
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 467401824280137223085141], 'label': '16384.ji.128.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.cc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539677
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 311753550354447467884526], 'label': '16384.ji.128.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.cd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CD', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539678
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 466515907505405975318430], 'label': '16384.ji.128.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.ce1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CE', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539679
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 956061582555869445461, 26205170167010848184086, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.cf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CF', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539680
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [182399927371421911143447, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539681
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 2311634918195337183, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.128.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.cg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CG', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539682
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [311981308389512161177752, 323820677096353157197813, 845869342738508943, 182142385132272147285150, 26205170167010848184086, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.128.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.ch1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CH', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539683
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '128.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.CI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 1415680673528071741, 201304147925757762695055, 311752660445516651489510, 32649822641266472339535], 'label': '16384.ji.128.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.CI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.ci1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.CI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539684
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 936924130571069926370, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.A', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539685
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 936924130571069926370, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.B', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539686
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443169715568398823436, 323820677096353157197813, 845869342738508943, 936924130571069926370, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.C', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539687
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [938211763582714074337, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.D', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539688
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443169715568398823436, 323820677096353157197813, 845869342738508943, 182733837142027177725434, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.E', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539689
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.F', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539690
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.G', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539691
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 47090215146113603582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.2.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539692
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 33101029104532181582, 599891211453330392365845, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539693
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182733837142027177725434, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.H', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539694
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.I', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539695
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 26499103161126156131195, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.J', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539696
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 32649822641266472339535, 353027640065206021496], 'label': '16384.ji.256.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.K', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539697
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 33535021993107419713925, 353027640065206021496], 'label': '16384.ji.256.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.L', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539698
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.M', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [48505517882110131572, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.M', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539699
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '256.N', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 955856707863374869776, 201304147925757762695055, 324655290915518913916585, 353027640065206021496], 'label': '16384.ji.256.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.N', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539700
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '256.O', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 936924130571069926370, 324667160915887936872266, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.O', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539701
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.P', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.P', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [355675051380706840637323, 845869342738508943, 480405554653178546287268, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.P', 'subgroup_fusion': None, 'weyl_group': '256.26531'}
  • id: 151539702
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.Q', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.Q', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 32980949150059297993941, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.Q', 'subgroup_fusion': None, 'weyl_group': '256.26531'}
  • id: 151539729
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.D', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539703
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [182399927371421911143447, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BU', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 151539704
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.R', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '256.R', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [845869342738508943, 356212210146771741867418, 480405554653178546287268, 955856707863374869776, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.256.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.R', 'subgroup_fusion': None, 'weyl_group': '256.26531'}
  • id: 151539705
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.S', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 630993488558925817152, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.S', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539706
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.T', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 354315270554906664836, 955856707863374869776, 201304147925757762695055], 'label': '16384.ji.256.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.T', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539707
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.U', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311447727838872839670062, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.U', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539708
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.V', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 311994407647068258916874, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.V', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.v1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.V', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539709
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.W', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 312288788806091246775072], 'label': '16384.ji.256.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.W', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.w1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.W', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539710
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.X', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.256.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.X', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.x1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.X', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539711
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.Y', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32949319655365704445342, 323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.Y', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.y1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.Y', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539712
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.Z', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 45658861296043562705594], 'label': '16384.ji.256.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.Z', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.z1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.Z', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539713
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.BA', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 45899718610806115611289, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.ba1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BA', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539714
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BV', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539715
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 33226651270029542450523, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bb1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BB', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539716
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055, 45057787233399455977622], 'label': '16384.ji.256.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bc1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BC', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539717
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 1415680673528071741, 201304147925757762695055, 466515907505405975318430], 'label': '16384.ji.256.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bd1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BD', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539718
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.BE', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 26205170167010848184086, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.be1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BE', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539719
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '256.BF', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.256.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bf1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BF', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539720
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 38271970407140587732383, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.256.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bg1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BG', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539721
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 632479217184777029627], 'label': '16384.ji.256.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bh1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BH', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539722
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182143992485163235498023, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.256.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bi1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BI', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539723
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '256.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 26205170167010848184086, 1415680673528071741, 201304147925757762695055, 182720571423967609923221], 'label': '16384.ji.256.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bj1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BJ', 'subgroup_fusion': None, 'weyl_group': '256.16888'}
  • id: 151539724
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '256.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '256.BK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 2311634918195337183, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.256.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.BK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.bk1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.BK', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539725
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BW', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539726
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 936924130571069926370, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.A', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539727
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [938211763582714074337, 323820677096353157197813, 845869342738508943, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.B', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539728
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.C', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539736
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BX', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BX', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539737
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '512.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [324668070432231449864808, 845869342738508943, 182441767239810358568120, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.512.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.K', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539738
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '512.L', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [324668070432231449864808, 845869342738508943, 182441767239810358568120, 201304147925757762695055, 324168710502818171391404], 'label': '16384.ji.512.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.L', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539739
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '512.M', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 632274341266516995943, 201304147925757762695055], 'label': '16384.ji.512.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.M', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539740
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.512.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.N', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539741
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.O', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.512.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.O', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539742
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.P', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 26205170167010848184086, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.512.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.P', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.p1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.P', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539743
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.H', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.Q', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 25852142906184142707135, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.512.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.Q', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.q1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.Q', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539744
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.R', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055, 32649822641266472339535], 'label': '16384.ji.512.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.R', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.r1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.R', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539745
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.K', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.S', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32949319655365704445342, 323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.512.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.S', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.s1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.S', 'subgroup_fusion': None, 'weyl_group': '64.138'}
  • id: 151539746
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.T', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 354315270554906664836, 201304147925757762695055], 'label': '16384.ji.512.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.T', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.t1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.T', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539747
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BY', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599902652473889709501767, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BY', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539748
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '512.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '512.U', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443169715568398823436, 323820677096353157197813, 845869342738508943, 354315270554906664836, 201304147925757762695055], 'label': '16384.ji.512.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.U', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.u1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.U', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539749
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.A', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.1024.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.a1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.A', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539750
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 936924130571069926370, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.1024.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.B', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539751
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 937635548577250760499, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.1024.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.C', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539752
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1024.D', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323821388136421718302597, 937635548577250760499, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.1024.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.D', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539753
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1024.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 201304147925757762695055, 324655290915518913916585, 353027640065206021496], 'label': '16384.ji.1024.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.E', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539754
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1024.F', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.1024.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.F', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151539755
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1024.G', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 480648716486235317912430, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.1024.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.G', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539756
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1024.H', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 480405554653178546287268, 201304147925757762695055, 324168710502818171391404], 'label': '16384.ji.1024.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.H', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539757
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 1415680673528071741, 201304147925757762695055], 'label': '16384.ji.1024.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.I', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539758
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.BZ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [134155209864517598069833, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.BZ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539759
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.J', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 354315270554906664836, 201304147925757762695055], 'label': '16384.ji.1024.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.J', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539760
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.K', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182441767239810358568120, 201304147925757762695055], 'label': '16384.ji.1024.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.K', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539761
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.L', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 182142385132272147285150, 201304147925757762695055], 'label': '16384.ji.1024.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.L', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.l1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.L', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539762
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.M', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182443169715568398823436, 323820677096353157197813, 845869342738508943, 201304147925757762695055], 'label': '16384.ji.1024.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.M', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.m1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.M', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539763
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1024.N', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [182143794011619121013821, 323820677096353157197813, 845869342738508943, 201304147925757762695055], 'label': '16384.ji.1024.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.N', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.n1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.N', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 151539764
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '1024.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1024.O', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [323820677096353157197813, 938787975878769711936, 201304147925757762695055, 353739056850890738512], 'label': '16384.ji.1024.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1024.O', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1024.o1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.O', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539769
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CA', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CA', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539770
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2048.C', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 324655290915518913916585, 353027640065206021496], 'label': '16384.ji.2048.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.C', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539771
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [845869342738508943, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.2048.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.D', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539772
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2048.E', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [937635548577250760499, 201304147925757762695055, 353027640065206021496], 'label': '16384.ji.2048.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.E', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539773
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323821388136421718302597, 201304147925757762695055, 353739056850890738512], 'label': '16384.ji.2048.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.F', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539774
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [845869342738508943, 201304147925757762695055, 324168710502818171391404], 'label': '16384.ji.2048.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.G', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539775
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 845869342738508943, 201304147925757762695055], 'label': '16384.ji.2048.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.H', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539776
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2048.I', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 201304147925757762695055, 353739056850890738512], 'label': '16384.ji.2048.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.I', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.i1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.I', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 151539777
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2048.J', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 182441767239810358568120, 201304147925757762695055], 'label': '16384.ji.2048.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.J', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.j1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.J', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151539778
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2048.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.B', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2048.K', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [845869342738508943, 201304147925757762695055, 480057521246620086819637], 'label': '16384.ji.2048.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2048.K', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2048.k1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2048.K', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 151539779
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '4096.A', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [201601083968149947396856, 473021531964886286626608], 'label': '16384.ji.4096.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.a1.N', 'projective_image': '8192.xw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.A', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539780
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CB', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 182833120519303726656435, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CB', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539781
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 353027640065206021496], 'label': '16384.ji.4096.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.B', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 151539782
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.C', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 324168710502818171391404], 'label': '16384.ji.4096.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.c1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.C', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539783
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.D', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323821388136421718302597, 201304147925757762695055], 'label': '16384.ji.4096.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.d1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.D', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539784
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.E', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [324169421542893438931142, 201304147925757762695055], 'label': '16384.ji.4096.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.e1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.E', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539785
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.B', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.F', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [323820677096353157197813, 201304147925757762695055], 'label': '16384.ji.4096.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.f1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.F', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539786
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [845869342738508943, 201304147925757762695055], 'label': '16384.ji.4096.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.g1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.G', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539787
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4096.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4096.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055, 353739056850890738512], 'label': '16384.ji.4096.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4096.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4096.h1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4096.H', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 151539788
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8192.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8192.A', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201601083968149947396856], 'label': '16384.ji.8192.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8192.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8192.a1.N', 'projective_image': '8192.xw', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 151539789
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '8192.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8192.B', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [201304147925757762695055], 'label': '16384.ji.8192.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8192.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8192.b1.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8192.B', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 151539790
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '16384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16384.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '16384.ji.16384.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16384.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16384.a1.N', 'projective_image': '16384.ji', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16384.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 151539791
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CC', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 599891211453330392365845, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CC', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539792
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.G', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 599891211453330392365845, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.2.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539793
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CD', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CD', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539794
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CE', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 599902652473889709501767, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CE', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539795
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CF', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 33101029104532181582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CF', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539796
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CG', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 599902652473889709501767, 845869342738508943, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 182847116465593175517699, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CG', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539797
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CH', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CH', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539798
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CI', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CI', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539799
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CJ', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 599902652473889709501767, 845869342738508943, 599458031446529845021239, 323820677096353157197813, 954691096569542647634, 33101029104532181582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120], 'label': '16384.ji.4.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CJ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539800
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CK', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 33101029104532181582, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CK', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539801
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CL', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CL', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539802
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CM', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CM', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539803
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '2.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.H', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [134155209864517598069833, 384657530991126059556, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 47090215146113603582, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.2.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.H', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539804
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CN', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CN', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539805
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CO', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CO', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539806
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CP', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CP', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539807
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CQ', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CQ', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539808
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CR', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [133904619169029066466030, 201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 1415680673528071741, 134129421102563589103762, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CR', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539809
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CS', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [201304147925757762695055, 32649822641266472339535, 845869342738508943, 323820677096353157197813, 134142315484234906319451, 954691096569542647634, 311994407647068258916874, 353027640065206021496, 374324123138865199502, 1415680673528071741, 182441767239810358568120, 182443246543919657534752], 'label': '16384.ji.4.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CS', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539810
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CT', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 399869593489409016998, 182441767239810358568120, 201304147925757762695055, 134129421102563589103762, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CT', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539811
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '4.CU', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 133864962866750355865741, 182441767239810358568120, 201304147925757762695055, 374324123138865199502, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 182443246543919657534752, 845869342738508943], 'label': '16384.ji.4.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CU', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539812
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CV', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 134155209864517598069833, 182399927371421911143447, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 845869342738508943], 'label': '16384.ji.4.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CV', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 151539813
    {'ambient': '16384.ji', 'aut_centralizer_order': None, 'aut_label': '4.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.CW', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [954691096569542647634, 32649822641266472339535, 353027640065206021496, 384657530991126059556, 182441767239810358568120, 201304147925757762695055, 599891211453330392365845, 1415680673528071741, 311994407647068258916874, 323820677096353157197813, 134142315484234906319451, 845869342738508943], 'label': '16384.ji.4.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.CW', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.CW', 'subgroup_fusion': None, 'weyl_group': None}