Abstract group data - 59811110432740097280981580747828857532191866880000000000.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': [[1439295494700374021157505910939096377494040420940313, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420940313, 2780507107032949319216879217757888396904103936000000000], [8036669282923420513789390071023300764843674136420940313, 2718686837851822603680980943083129887826903040000000000], [16012921711734518474787115658805029235817063346020940313, 243100388543577248302963719280791961856901120000000000], [2604982537281182154856145584397215725010044772041880931, 111707855693555169587592253557987075975739640344420940310], [5689296752897268552475490803946372593370980041997847, 2718686837851822603680980943083129887826903040000000000], [57673829581763064085497573465414331386440399340320209, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157507246248632781608525321159185, 2718686837851822603680980943083129887826903040000000000], [1439295494700382055419692679710871561407141200015639, 2718686837851822603680980943083129887826903040000000000], [2776601578994760825521810413179588430508206092141443, 2718686837851822603680980943083129887826903040000000000], [2597124607198611376841637018860330889238487865514867, 2718686837851822603680980943083129887826903040000000000], [1465104295463525571354530981497673288253967535998367, 2718686837851822603680980943083129887826903040000000000], [2532185197651463785138497818418359074304535131318720, 2718686837851822603680980943083129887826903040000000000], [1986713048144787584594046047198215931851632981701859, 2718686837851822603680980943083129887826903040000000000], [1800300433806815722088459417886454516643392758269104, 2718686837851822603680980943083129887826903040000000000], [1439354566386052720350698437870213769280684028300585, 2718686837851822603680980943083129887826903040000000000], [1439941642338351922749833129295755140574247969956446, 2718686837851822603680980943083129887826903040000000000], [1439308563805665965632991298714463680995212203653611, 2718686837851822603680980943083129887826903040000000000], [1439305152798031105350194010508725525968610510832243, 2718686837851822603680980943083129887826903040000000000], [1439295878419894887104897780955476412056605715399168, 2718686837851822603680980943083129887826903040000000000], [1439295498068940310379868597088729372684654025062352, 2718686837851822603680980943083129887826903040000000000], [1439295500991811968274427172440331351717185083128629, 2718686837851822603680980943083129887826903040000000000], [1439295499637997693627354280988881201889392381564785, 2718686837851822603680980943083129887826903040000000000], [1439295494921539610256307153757500822305715749660221, 2718686837851822603680980943083129887826903040000000000], [1439295495046841260002001208905611649147862646254468, 2718686837851822603680980943083129887826903040000000000], [1439295494700450910040878776473311292757626514770439, 2718686837851822603680980943083129887826903040000000000], [1439295494700654227030397482007833912668446436165799, 2718686837851822603680980943083129887826903040000000000], [1439295494700374254683049432407999653040084800813501, 2718686837851822603680980943083129887826903040000000000], [1439295494700374152275134666229757716177430070057492, 2718686837851822603680980943083129887826903040000000000], [1439295494700374027110827600169306249898758042649553, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021275827345072008779770004425650128, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021389369352211171575361962101881202, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021162303384277108695776217344555934, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021165636481106314308247731987636339, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157763282010451053907139694611179, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157749279223126889049740392507244, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157542250635079067479533620969278, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157635412162832857040880451360431, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157759614267427711998520979327661, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505912316173691772611243300831, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505924150376502220696991374444, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505920137960576606627009929230, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505911184063858115493632118604, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910955868105431812692254016, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096379195456676366354, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939139698798850984867067, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939131546773454776714995, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939135189170437314960812, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377508960069245793, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377805046324359086, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377717031312444707, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377675873110400683, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377592360354879660, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494086064093694, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494044450237934, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040493978313, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040734949538, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040422553594, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040429575214, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040421152210, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040421092852, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420943109, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420964617, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420958869, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420969427, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420962915, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420940365, 2718686837851822603680980943083129887826903040000000000], [1439295494700374021157505910939096377494040420940317, 2718686837851822603680980943083129887826903040000000000], [10742745355092414692506097093954924633348707376841900964, 123574470159361433773086402468051280706963992420940312]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 119622220865480194561963161495657715064383733760000000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 446985, 1, 1], [2, 22633085475, 1, 1], [2, 298960426039275, 1, 1], [2, 1310727925020764250, 1, 1], [2, 2075406596477878113450, 1, 1], [2, 1193358792974779915233750, 1, 1], [2, 235458869536946960198043750, 1, 1], [2, 14009802737448344131783603125, 1, 1], [2, 25373791335626257947657609375, 1, 1], [2, 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[25740, 2323663963975916755282889694942846057971712000000000], [27720, 4315375933098131116953938004893856964804608000000000], [30030, 2489639961402767952088810387438763633541120000000000], [32760, 1825735971695363164865127617455093331263488000000000], [45045, 2655615958829619148894731079934681209110528000000000], [60060, 995855984561107180835524154975505453416448000000000]], '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': 45, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': True, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 45, 'gens': [1439295494700374021157505910939096377494040420940313, 2718686837851822603680980943083129887826903040000000000]}}, '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_{45}', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [59811110432740097280981580747828857532191866880000000000, 1] does not appear in gps_conj_classes
• group 59811110432740097280981580747828857532191866880000000000.a does not appear in gps_qchar
• group 59811110432740097280981580747828857532191866880000000000.a does not appear in gps_char
• ambient 59811110432740097280981580747828857532191866880000000000.a does not appear in gps_subgroup_search
• ambient 59811110432740097280981580747828857532191866880000000000.a does not appear in gps_subgroup_data