Transitive group data - 27T28

Formats: - HTML - YAML - JSON - 2026-07-17T17:31:00.752331

• 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': '81.14', 'arith_equiv': 0, 'aut_label': '9.1', 'auts': 9, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 14, 'gapidfull': '[81,14]', 'gens': [[[1, 16, 19], [2, 17, 20], [3, 18, 21], [4, 10, 23], [5, 11, 24], [6, 12, 22], [7, 14, 25], [8, 15, 26], [9, 13, 27]], [[1, 4, 7, 2, 5, 8, 3, 6, 9], [10, 13, 18, 11, 14, 16, 12, 15, 17], [19, 24, 27, 20, 22, 25, 21, 23, 26]], [[10, 11, 12], [13, 14, 15], [16, 17, 18], [19, 21, 20], [22, 24, 23], [25, 27, 26]]], 'isomorphism': [7550129662357484504837963664, 418829649742661942030400000, 1258350442596293840036997093], 'label': '27T28', 'n': 27, 'name': 't27n28', 'nilpotency': 2, 'num_conj_classes': 33, 'order': 81, 'parity': 1, 'prim': 0, 'quotients': [[3, [3, 1], 13], [9, [9, 2], 13], [27, [27, 4], 1]], 'siblings': [[[27, 28], 3]], 'solv': 1, 'subfields': [[[3, 1], 4], [[9, 2], 1]], 't': 28, 'transitivity': 1}