Abstract group data - 2751311079906044474925152714400127446480825876480000000000.a

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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': '1.1', 'all_subgroups_known': None, 'almost_simple': True, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[119684075424038268771621674133637168158268492312420940313, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168158268492312420940313, 358927077859503957521526839619041659190658465792000000000], [364245060304575555431635248746981830067675236888420940313, 122280492440268643330006787306672330954703372288000000000], [356211269612641535665888173687780407495586550832841880624, 244502008912968613198397376987187087008276974104420940313], [122102125242067922571137036922288667154936566832841880583, 236648024714730014565541209818280267332332587544420940313], [4539850284816142306629498674180059585071394465889668064903, 2599295607219775306427428184857040989189868056420577433], [130185159745004816204048449189685715144678467880057444921, 1223231389610630400], [119685321368545890475943987243563165060492891860204996897, 122280492440268643330006787306672330954703372288000000000], [119684075424038268772904993396645610244530259906115551217, 122280492440268643330006787306672330954703372288000000000], [119685221010966050984522664878484286470653406953810171669, 122280492440268643330006787306672330954703372288000000000], [120653271062948126033740849036972298950994913523098343137, 148925062746711205211146612349579714861147168440320000000], [119684080524583127950437701450053378513136248385380940313, 122280492440268643330006787306672330954703372288000000000], [119684085440472717907649293563556816474956928123820749745, 122280492440268643330006787306672330954703372288000000000], [119684075424526717284567194654139169749153327133296941375, 122280492440268643330006787306672330954703372288000000000], [119735326386431476170844093259662343086097269292385493175, 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122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168189862283802159967686, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637257095592159477600276310, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637382951038939385669157082, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168159631719949483494797, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168158296672076976609214, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168158272269027715319382, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168158272489174863593062, 122280492440268643330006787306672330954703372288000000000], [119684075424038268771621674133637168158268736694188865619, 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None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 5502622159812088949850305428800254892961651752960000000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 489555, 1, 1], [2, 27397945575, 1, 1], [2, 404475870523725, 1, 1], [2, 2009782818365171850, 1, 1], [2, 3671873209153168969950, 1, 1], [2, 2495204748947267095488750, 1, 1], [2, 601728222149975564950556250, 1, 1], [2, 46032208994473130718717553125, 1, 1], [2, 583597200719403932796125015625, 1, 1], [2, 903494925558188310773260209375, 1, 1], [2, 2995798963692940188353441746875, 1, 1], [3, 30360, 1, 1], [3, 374672760, 1, 1], [3, 2467844579200, 1, 1], [3, 9587576190192000, 1, 1], [3, 22948822368843571200, 1, 1], [3, 34384985515983950848000, 1, 1], [3, 32184346442960977993728000, 1, 1], [3, 18505999204702562346393600000, 1, 1], [3, 6333164172275988002988032000000, 1, 1], [3, 1227367216587086474979080601600000, 1, 1], [3, 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91618750579621860636868222257746501714313216000000000]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': None, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '2.1', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 2, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2', 'pc_rank': None, 'perfect': True, 'permutation_degree': 46, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': True, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 46, 'gens': [119684075424038268771621674133637168158268492312420940313, 122280492440268643330006787306672330954703372288000000000]}}, 'schur_multiplier': None, 'semidirect_product': False, 'simple': True, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': None, 'subgroup_index_bound': None, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'A_{46}', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [2751311079906044474925152714400127446480825876480000000000, 1] does not appear in gps_conj_classes
• group 2751311079906044474925152714400127446480825876480000000000.a does not appear in gps_qchar
• group 2751311079906044474925152714400127446480825876480000000000.a does not appear in gps_char
• ambient 2751311079906044474925152714400127446480825876480000000000.a does not appear in gps_subgroup_search
• ambient 2751311079906044474925152714400127446480825876480000000000.a does not appear in gps_subgroup_data