Transitive group data - 32T519

Formats: - HTML - YAML - JSON - 2024-05-18T03:26:28.562401

• gps_transitive •

  Column	Type
  ab	smallint
  abstract_label	text
  arith_equiv	smallint
  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': '128.527', 'arith_equiv': 1, 'auts': 8, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 527, 'gapidfull': '[128,527]', 'gens': [[[1, 32, 4, 30], [2, 31, 3, 29], [5, 26, 8, 28], [6, 25, 7, 27], [9, 22, 11, 24], [10, 21, 12, 23], [13, 17, 15, 19], [14, 18, 16, 20]], [[1, 23, 8, 20, 4, 21, 5, 18], [2, 24, 7, 19, 3, 22, 6, 17], [9, 32, 13, 28, 11, 30, 15, 26], [10, 31, 14, 27, 12, 29, 16, 25]], [[1, 21, 2, 22], [3, 24, 4, 23], [5, 18, 6, 17], [7, 19, 8, 20], [9, 25, 12, 28], [10, 26, 11, 27], [13, 29, 16, 32], [14, 30, 15, 31]]], 'label': '32T519', 'n': 32, 'name': 't32n519', 'nilpotency': 3, 'num_conj_classes': 29, 'order': 128, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 1], 4], [4, [4, 2], 7], [8, [4, 3], 12], [8, [8, 2], 6], [8, [8, 3], 1], [16, [8, 9], 6], [16, [8, 10], 12], [16, [16, 2], 1], [32, [8, 18], 4], [32, [16, 21], 3], [64, [16, 79], 1]], 'siblings': [[[16, 232], 2], [[16, 290], 4], [[32, 519], 3], [[32, 520], 4], [[32, 521], 1], [[32, 668], 8], [[32, 669], 2], [[32, 670], 2], [[32, 1918], 2]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 1], 2], [[4, 2], 1], [[4, 3], 4], [[8, 2], 1], [[8, 9], 2], [[8, 10], 4], [[16, 21], 1], [[16, 232], 1], [[16, 290], 1]], 't': 519}