Transitive group data - 27T133

Formats: - HTML - YAML - JSON - 2026-07-20T14:59:52.201941

• 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': '324.41', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 41, 'gapidfull': '[324,41]', 'gens': [[[1, 16, 2, 18, 3, 17], [4, 15, 5, 14, 6, 13], [7, 11, 8, 10, 9, 12], [19, 20], [22, 26], [23, 25], [24, 27]], [[1, 19, 15, 8, 22, 12], [2, 21, 13, 7, 23, 11], [3, 20, 14, 9, 24, 10], [4, 25, 16, 6, 26, 18], [5, 27, 17]]], 'isomorphism': [9227307501585559780471843443, 10470015075211159052563413692, 2516590421465764443431742963, 806634631152869761141401600], 'label': '27T133', 'n': 27, 'name': 't27n133', 'nilpotency': -1, 'num_conj_classes': 17, 'order': 324, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 2], [12, [6, 3], 2], [36, [6, 9], 1], [108, [9, 18], 1]], 'siblings': [[[27, 123], 1]], 'solv': 1, 'subfields': [[[3, 2], 2], [[9, 8], 1]], 't': 133, 'transitivity': 1}