Transitive group data - 42T34

Formats: - HTML - YAML - JSON - 2026-05-04T12:00:43.516929

• 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
  transitivity	smallint

  
  {'ab': 0, 'abstract_label': '168.45', 'arith_equiv': 0, 'aut_label': '14.2', 'auts': 14, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 45, 'gapidfull': '[168,45]', 'gens': [[[1, 5, 4], [2, 6, 3], [7, 11, 9], [8, 12, 10], [13, 17, 15], [14, 18, 16], [19, 24, 22], [20, 23, 21], [25, 30, 28], [26, 29, 27], [31, 35, 33], [32, 36, 34], [37, 41, 39], [38, 42, 40]], [[1, 37, 31, 26, 20, 13, 8, 2, 38, 32, 25, 19, 14, 7], [3, 41, 34, 29, 22, 17, 9, 6, 39, 36, 27, 24, 15, 11], [4, 42, 33, 30, 21, 18, 10, 5, 40, 35, 28, 23, 16, 12]]], 'isomorphism': [33514780078746464738976531660328120904915522937736, 137073767628169034008820661506445221002424696355703, 33452540387250054532581685007811686334349160510761, 1267890494232431164351908709787279695594413060096120], 'label': '42T34', 'n': 42, 'name': 't42n34', 'nilpotency': -1, 'num_conj_classes': 35, 'order': 168, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [6, [3, 2], 1], [7, [7, 1], 1], [14, [14, 1], 1], [24, [4, 5], 1], [42, [21, 6], 1]], 'siblings': [[[28, 31], 1], [[42, 35], 1]], 'solv': 1, 'subfields': [[[3, 2], 1], [[6, 8], 1], [[7, 1], 1], [[21, 6], 1]], 't': 34, 'transitivity': 1}