Transitive group data - 45T4

Formats: - HTML - YAML - JSON - 2025-10-05T17:46:52.378561

• 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': '90.3', 'arith_equiv': 0, 'aut_label': '1.1', 'auts': 1, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 3, 'gapidfull': '[90,3]', 'gens': [[[1, 14], [2, 13], [3, 15], [4, 10], [5, 11], [6, 12], [7, 8], [16, 44], [17, 43], [18, 45], [19, 40], [20, 42], [21, 41], [22, 39], [23, 37], [24, 38], [25, 36], [26, 34], [27, 35], [28, 31], [29, 32], [30, 33]], [[1, 21], [2, 20], [3, 19], [4, 16], [5, 18], [6, 17], [7, 14], [8, 15], [9, 13], [11, 12], [22, 43], [23, 44], [24, 45], [25, 42], [26, 40], [27, 41], [28, 39], [29, 38], [30, 37], [31, 36], [32, 35], [33, 34]]], 'isomorphism': [61753363604877474696002120503491816842724519402314851, 67941365681218035549068078313375288145313166236699289845], 'label': '45T4', 'n': 45, 'name': 't45n4', 'nilpotency': -1, 'num_conj_classes': 24, 'order': 90, 'parity': 1, 'pretty': '$D_{45}$', 'prim': 0, 'quotients': [[2, [2, 1], 1], [6, [3, 2], 1], [10, [5, 2], 1], [18, [9, 3], 1], [30, [15, 2], 1]], 'siblings': [], 'solv': 1, 'subfields': [[[3, 2], 1], [[5, 2], 1], [[9, 3], 1], [[15, 2], 1]], 't': 4}