Transitive group data - 27T40

Formats: - HTML - YAML - JSON - 2026-07-17T16:05:57.015408

• 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
  transitivity	smallint

  
  {'ab': 0, 'abstract_label': '162.14', 'arith_equiv': 0, 'aut_label': '9.1', 'auts': 9, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 14, 'gapidfull': '[162,14]', 'gens': [[[1, 23, 15], [2, 24, 13], [3, 22, 14], [4, 26, 17], [5, 27, 18], [6, 25, 16], [7, 21, 12], [8, 19, 10], [9, 20, 11]], [[1, 25], [2, 26], [3, 27], [4, 21], [5, 19], [6, 20], [7, 22], [8, 23], [9, 24]]], 'isomorphism': [6381082044547893, 4581685969462323721496627254, 806634631152493057474605507, 3323173346274234291446718963], 'label': '27T40', 'n': 27, 'name': 't27n40', 'nilpotency': -1, 'num_conj_classes': 22, 'order': 162, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [18, [6, 5], 1], [54, [9, 11], 1]], 'siblings': [[[27, 49], 1]], 'solv': 1, 'subfields': [[[3, 1], 1], [[3, 2], 1], [[9, 4], 1]], 't': 40, 'transitivity': 1}