Transitive group data - 12T44

Formats: - HTML - YAML - JSON - 2025-10-29T05:00:08.306604

• 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': '72.43', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 43, 'gapidfull': '[72,43]', 'gens': [[[1, 11], [2, 10], [3, 9], [4, 8], [5, 7]], [[1, 7, 10], [2, 5, 11], [3, 6, 9]], [[2, 8, 11], [3, 6, 12], [4, 7, 10]], [[1, 5, 9], [2, 6, 10], [3, 7, 11], [4, 8, 12]]], 'isomorphism': [435046886, 255622164, 175818816, 153882524, 377242909], 'label': '12T44', 'n': 12, 'name': '1/2[3:2]S(4)', 'nilpotency': -1, 'num_conj_classes': 9, 'order': 72, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [6, [3, 2], 4], [18, [9, 5], 1], [24, [4, 5], 1]], 'siblings': [[[12, 44], 2], [[18, 37], 1], [[18, 40], 1], [[24, 79], 3], [[36, 23], 1], [[36, 56], 1]], 'solv': 1, 'subfields': [[[3, 2], 1], [[4, 5], 1]], 't': 44}