Transitive group data - 40T274231

Formats: - HTML - YAML - JSON - 2025-10-11T04:47:43.760477

• 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': '6400000000.cpl', 'arith_equiv': -1, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 10, 'bound_siblings': 10, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 28, 5, 30, 3, 29, 4, 27], [2, 26], [6, 21], [7, 25, 8, 24, 10, 22, 9, 23], [11, 18, 14, 19, 15, 16, 12, 20], [13, 17], [31, 37, 34, 39, 35, 38, 32, 36], [33, 40]], [[1, 24, 37, 16, 2, 23, 39, 17, 4, 21, 38, 19, 3, 22, 36, 18], [5, 25, 40, 20], [6, 27, 12, 31], [7, 26, 11, 32, 9, 29, 14, 34, 10, 28, 13, 35, 8, 30, 15, 33]], [[1, 3, 2, 5], [6, 8, 10, 7, 9], [11, 15, 13, 14], [16, 25, 19, 21, 18, 24, 20, 23], [17, 22], [26, 33, 28, 34, 27, 31, 30, 35], [29, 32], [37, 40], [38, 39]], [[1, 19, 36, 24], [2, 20, 40, 25, 4, 17, 38, 22, 5, 18, 37, 23, 3, 16, 39, 21], [6, 34, 13, 27], [7, 35, 12, 29, 8, 31, 11, 26, 10, 33, 14, 30, 9, 32, 15, 28]]], 'label': '40T274231', 'n': 40, 'name': 't40n274231', 'nilpotency': -1, 'num_conj_classes': 1420, 'order': 6400000000, 'parity': 1, 'prim': 0, 'quotients': [[2, [2, 1], 15], [4, [4, 2], 35], [8, [4, 3], 28], [8, [8, 3], 15], [16, [8, 8], 4], [16, [8, 9], 42], [32, [8, 15], 6], [32, [8, 18], 28], [64, [8, 29], 6], [128, [8, 35], 8]], 'siblings': [], 'solv': 1, 'subfields': [[[2, 1], 3], [[4, 2], 1], [[4, 3], 2], [[8, 9], 1]], 't': 274231}