Transitive group data - 18T45

Formats: - HTML - YAML - JSON - 2026-08-05T02:17:07.677406

• 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
  transitivity	smallint

  
  {'ab': 0, 'abstract_label': '108.26', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 26, 'gapidfull': '[108,26]', 'gens': [[[3, 6, 10, 17, 15, 12], [4, 5, 9, 18, 16, 11], [7, 13], [8, 14]], [[1, 18, 14, 5, 8, 11], [2, 17, 13, 6, 7, 12], [3, 4], [9, 15], [10, 16]]], 'isomorphism': [4124468643126, 3024100791936000], 'label': '18T45', 'n': 18, 'name': 't18n45', 'nilpotency': -1, 'num_conj_classes': 20, 'order': 108, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [3, [3, 1], 1], [4, [4, 2], 1], [6, [3, 2], 1], [6, [6, 1], 3], [12, [6, 3], 1], [12, [12, 2], 1], [18, [6, 5], 1], [36, [12, 18], 1], [54, [9, 10], 1]], 'siblings': [[[18, 45], 1], [[36, 67], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 2], 1], [[6, 3], 1], [[9, 10], 1]], 't': 45, 'transitivity': 1}