Transitive group data - 12T18

Formats: - HTML - YAML - JSON - 2024-04-19T10:05:25.337326

• gps_transitive •

  Column	Type
  ab	smallint
  abstract_label	text
  arith_equiv	smallint
  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, 'auts': 6, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 12, 'gapidfull': '[36,12]', 'gens': [[[1, 10], [2, 5], [3, 12], [4, 7], [6, 9], [8, 11]], [[2, 6, 10], [4, 8, 12]], [[1, 7], [2, 8], [3, 9], [4, 10], [5, 11], [6, 12]]], 'label': '12T18', 'n': 12, 'name': '[3^2]E(4)', 'nilpotency': -1, 'num_conj_classes': 18, 'order': 36, 'parity': 1, 'pretty': '$C_6\\times S_3$', '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': [[[18, 6], 2], [[36, 6], 1]], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[6, 5], 1]], 't': 18}