Transitive group data - 32T4

Formats: - HTML - YAML - JSON - 2026-09-27T00:24:39.690297

• 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': '32.48', 'arith_equiv': 0, 'aut_label': '32.48', 'auts': 32, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 48, 'gapidfull': '[32,48]', 'gens': [[[1, 6], [2, 5], [3, 8], [4, 7], [9, 15], [10, 16], [11, 13], [12, 14], [17, 23], [18, 24], [19, 21], [20, 22], [25, 30], [26, 29], [27, 31], [28, 32]], [[1, 5, 19, 22], [2, 6, 20, 21], [3, 7, 17, 24], [4, 8, 18, 23], [9, 16, 26, 30], [10, 15, 25, 29], [11, 14, 28, 31], [12, 13, 27, 32]], [[1, 14, 19, 31], [2, 13, 20, 32], [3, 15, 17, 29], [4, 16, 18, 30], [5, 11, 22, 28], [6, 12, 21, 27], [7, 10, 24, 25], [8, 9, 23, 26]], [[1, 9, 19, 26], [2, 10, 20, 25], [3, 12, 17, 27], [4, 11, 18, 28], [5, 16, 22, 30], [6, 15, 21, 29], [7, 13, 24, 32], [8, 14, 23, 31]]], 'isomorphism': [118951984117449968035059284291332536, 161163730211390749179376792595902087, 135956025051125474939119006093718406, 220919045621635300905282734493758656, 16976205612381906363352243137194296], 'label': '32T4', 'n': 32, 'name': 't32n4', 'nilpotency': 2, 'num_conj_classes': 20, 'order': 32, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 15], [4, [4, 2], 35], [8, [8, 3], 15], [16, [8, 11], 2], [16, [16, 3], 1]], 'siblings': [[[16, 18], 6]], 'solv': 1, 'subfields': [[[2, 1], 15], [[4, 2], 35], [[8, 3], 15], [[8, 11], 6], [[16, 3], 1], [[16, 11], 2], [[16, 18], 6]], 't': 4, 'transitivity': 1}