Transitive group data - 18T6

Formats: - HTML - YAML - JSON - 2025-04-05T22:34:37.464966

• 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': '36.12', 'arith_equiv': 0, 'aut_label': '6.2', 'auts': 6, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 12, 'gapidfull': '[36,12]', 'gens': [[[1, 15, 8, 4, 13, 9], [2, 16, 7, 3, 14, 10], [5, 17, 12], [6, 18, 11]], [[1, 3, 18, 2, 4, 17], [5, 8, 10, 6, 7, 9], [11, 14, 15, 12, 13, 16]]], 'isomorphism': [4534592272341535, 6025803851732831], 'label': '18T6', 'n': 18, 'name': 't18n6', 'nilpotency': -1, 'num_conj_classes': 18, 'order': 36, 'parity': -1, 'pretty': '$S_3 \\times C_6$', '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]], 'siblings': [[[12, 18], 1], [[18, 6], 1], [[36, 6], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 1], 1], [[3, 2], 1], [[6, 1], 1], [[6, 3], 1], [[9, 4], 1]], 't': 6}