Transitive group data - 27T50

Formats: - HTML - YAML - JSON - 2025-10-25T02:58:05.074007

• 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': '162.10', 'arith_equiv': 0, 'aut_label': '3.1', 'auts': 3, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 10, 'gapidfull': '[162,10]', 'gens': [[[1, 11, 2, 10, 3, 12], [4, 14, 5, 13, 6, 15], [7, 27, 9, 25, 8, 26], [16, 20, 22, 17, 19, 23], [18, 21, 24]], [[1, 3], [4, 6], [7, 16, 15, 23, 11, 21], [8, 18, 13, 22, 12, 20], [9, 17, 14, 24, 10, 19], [25, 27]]], 'isomorphism': [8808290966283214089354693360, 10066154889954556912804266114, 9227120577373635660538214403, 10888301876274117321224204159, 1258836943359559786209020610], 'label': '27T50', 'n': 27, 'name': 't27n50', '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': [[[9, 20], 3], [[18, 86], 3], [[27, 37], 1], [[27, 50], 2], [[27, 70], 1]], 'solv': 1, 'subfields': [[[3, 2], 1], [[9, 11], 1], [[9, 20], 1]], 't': 50}