Transitive group data - 36T18

Formats: - HTML - YAML - JSON - 2025-04-25T06:34:20.446486

• 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': '72.47', 'arith_equiv': 0, 'aut_label': '12.5', 'auts': 12, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 47, 'gapidfull': '[72,47]', 'gens': [[[1, 30, 10, 2, 29, 9], [3, 32, 12, 4, 31, 11], [5, 23, 15, 6, 24, 16], [7, 22, 14, 8, 21, 13], [17, 36, 27], [18, 35, 28], [19, 33, 25], [20, 34, 26]], [[1, 21, 20, 4, 23, 18], [2, 22, 19, 3, 24, 17], [5, 27, 9, 8, 25, 12], [6, 28, 10, 7, 26, 11], [13, 33, 31, 15, 36, 30], [14, 34, 32, 16, 35, 29]]], 'isomorphism': [212755414525115503853973474108884702885056, 8231680416197565749363264960676487, 308187180202474883628559776223286230348801], 'label': '36T18', 'n': 36, 'name': 't36n18', 'nilpotency': -1, 'num_conj_classes': 24, 'order': 72, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 4], [6, [6, 1], 4], [9, [9, 2], 1], [12, [4, 4], 1], [18, [18, 2], 1], [24, [6, 6], 1], [36, [12, 20], 1]], 'siblings': [[[18, 25], 1], [[24, 71], 3], [[36, 31], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 1], 4], [[6, 1], 4], [[6, 4], 1], [[6, 6], 1], [[9, 2], 1], [[12, 7], 1], [[18, 2], 1], [[18, 8], 1], [[18, 25], 1]], 't': 18}