Transitive group data - 45T48

Formats: - HTML - YAML - JSON - 2025-11-08T03:59:37.549953

• 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': '360.127', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 127, 'gapidfull': '[360,127]', 'gens': [[[1, 22], [2, 24], [3, 23], [4, 20], [5, 19], [6, 21], [7, 18], [8, 17], [9, 16], [10, 14], [11, 13], [12, 15], [25, 45], [26, 44], [27, 43], [28, 40], [29, 42], [30, 41], [31, 37], [32, 39], [33, 38], [34, 36]], [[1, 9, 41, 19, 16, 22, 10, 35, 31, 37, 27, 5], [2, 7, 40, 21, 17, 23, 12, 34, 32, 38, 26, 4], [3, 8, 42, 20, 18, 24, 11, 36, 33, 39, 25, 6], [13, 29, 45], [14, 30, 43], [15, 28, 44]], [[1, 15, 34, 37, 33, 45, 19, 24, 17, 30, 6, 7], [2, 14, 36, 38, 31, 44, 21, 22, 18, 29, 5, 8], [3, 13, 35, 39, 32, 43, 20, 23, 16, 28, 4, 9], [10, 42, 26], [11, 40, 27], [12, 41, 25]]], 'isomorphism': [81663821237539566630628425126409500951623885800450557481, 35300402373511199207461387203678613824101898036729123961, 67941298776151045468362635628608156743043624768119994306], 'label': '45T48', 'n': 45, 'name': 't45n48', 'nilpotency': -1, 'num_conj_classes': 30, 'order': 360, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [6, [3, 2], 4], [8, [8, 2], 1], [12, [6, 3], 4], [18, [9, 5], 1], [20, [5, 3], 1], [24, [12, 11], 4], [36, [18, 12], 1], [40, [10, 5], 1], [72, [36, 41], 1], [120, [15, 11], 4]], 'siblings': [], 'solv': 1, 'subfields': [[[3, 2], 4], [[5, 3], 1], [[9, 5], 1], [[15, 11], 4]], 't': 48}