Transitive group data - 27T692

Formats: - HTML - YAML - JSON - 2025-01-02T14:08:44.536649

• gps_transitive •

  Column	Type
  ab	smallint
  abstract_label	text
  arith_equiv	smallint
  aut_label	text
  auts	smallint
  bound_quotients	smallint
  bound_siblings	smallint
  cyc	smallint
  gapid	bigint
  gapidfull	text
  gens	jsonb
  isomorphism	numeric[]
  label	text
  moddecompuniq	jsonb
  n	smallint
  name	text
  nilpotency	smallint
  num_conj_classes	integer
  order	numeric
  parity	smallint
  pretty	text
  prim	smallint
  quotients	jsonb
  siblings	jsonb
  solv	smallint
  subfields	jsonb
  t	integer

  
  {'ab': 0, 'abstract_label': '6561.2169', 'arith_equiv': 0, 'aut_label': '3.1', 'auts': 3, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 25, 15], [2, 26, 13], [3, 27, 14], [4, 19, 16, 5, 20, 17, 6, 21, 18], [7, 22, 12, 9, 24, 11, 8, 23, 10]], [[13, 14, 15], [16, 18, 17], [19, 25, 22, 20, 26, 23, 21, 27, 24]]], 'isomorphism': [10066641403770793963509246867, 1258350444908684394228909364, 418854375205681992280784884, 3323121644551678664622865653, 80884], 'label': '27T692', 'n': 27, 'name': 't27n692', 'nilpotency': 6, 'num_conj_classes': 81, 'order': 6561, 'parity': 1, 'prim': 0, 'quotients': [[3, [3, 1], 4], [9, [9, 1], 3], [9, [9, 2], 1], [27, [9, 6], 2], [27, [9, 7], 1], [27, [27, 2], 1], [81, [9, 17], 3], [81, [27, 17], 1], [243, [27, 89], 1], [729, [27, 242], 1]], 'siblings': [[[27, 692], 8]], 'solv': 1, 'subfields': [[[3, 1], 1], [[9, 17], 1]], 't': 692}