Transitive group data - 36T112

Formats: - HTML - YAML - JSON - 2025-10-12T09:34:59.595954

• 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': '144.162', 'arith_equiv': 0, 'aut_label': '6.2', 'auts': 6, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 162, 'gapidfull': '[144,162]', 'gens': [[[1, 14, 26, 3, 16, 27, 2, 13, 25, 4, 15, 28], [5, 18, 32, 8, 20, 30, 6, 17, 31, 7, 19, 29], [9, 22, 33, 12, 23, 35, 10, 21, 34, 11, 24, 36]], [[1, 9, 26, 33, 16, 23, 2, 10, 25, 34, 15, 24], [3, 12, 27, 35, 13, 21, 4, 11, 28, 36, 14, 22], [5, 17, 32, 7, 20, 29, 6, 18, 31, 8, 19, 30]], [[1, 8], [2, 7], [3, 5], [4, 6], [9, 10], [13, 20], [14, 19], [15, 18], [16, 17], [23, 24], [25, 29], [26, 30], [27, 32], [28, 31], [33, 34]]], 'isomorphism': [237931668647239667953384217344003177, 276561501924488759756194986454365020597047, 340394479067182198179322148722111892368072], 'label': '36T112', 'n': 36, 'name': 't36n112', 'nilpotency': -1, 'num_conj_classes': 45, 'order': 144, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [3, [3, 1], 1], [4, [4, 2], 7], [6, [3, 2], 1], [6, [6, 1], 7], [8, [4, 3], 2], [8, [8, 3], 1], [12, [6, 3], 3], [12, [12, 2], 7], [16, [8, 9], 1], [18, [6, 5], 1], [24, [12, 10], 1], [24, [12, 14], 2], [24, [24, 3], 1], [36, [12, 18], 3], [48, [12, 28], 1], [48, [24, 38], 1], [72, [24, 68], 1]], 'siblings': [[[24, 208], 2], [[36, 112], 3]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 1], 1], [[3, 2], 1], [[4, 3], 1], [[6, 1], 1], [[6, 3], 1], [[9, 4], 1], [[12, 14], 1], [[12, 28], 1], [[18, 6], 1]], 't': 112}