Transitive group data - 36T36

Formats: - HTML - YAML - JSON - 2025-04-25T05:05:37.010915

• 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': '72.45', 'arith_equiv': 0, 'aut_label': '4.2', 'auts': 4, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 45, 'gapidfull': '[72,45]', 'gens': [[[1, 14, 28, 2, 13, 27], [3, 15, 26, 4, 16, 25], [5, 20, 31, 6, 19, 32], [7, 18, 29, 8, 17, 30], [9, 21, 35, 10, 22, 36], [11, 23, 34, 12, 24, 33]], [[1, 3], [2, 4], [5, 17, 33, 22], [6, 18, 34, 21], [7, 19, 35, 23], [8, 20, 36, 24], [9, 13, 29, 28], [10, 14, 30, 27], [11, 15, 32, 25], [12, 16, 31, 26]]], 'isomorphism': [21256863497799936855697772895813721286382, 191454090130074231372588441803948924692417, 137981201707821196718819059158614474282297], 'label': '36T36', 'n': 36, 'name': 't36n36', 'nilpotency': -1, 'num_conj_classes': 12, 'order': 72, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [8, 2], 1], [36, [6, 10], 1]], 'siblings': [[[12, 40], 2], [[12, 41], 2], [[18, 27], 2], [[24, 76], 2], [[36, 35], 1]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[6, 10], 2], [[9, 9], 1], [[12, 40], 2], [[18, 10], 1], [[18, 27], 2]], 't': 36}