Transitive group data - 18T30

Formats: - HTML - YAML - JSON - 2026-06-29T23:03:28.378407

• 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': '72.42', 'arith_equiv': 0, 'aut_label': '6.2', 'auts': 6, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 42, 'gapidfull': '[72,42]', 'gens': [[[1, 3, 5], [2, 4, 6], [7, 18, 11, 15, 9, 13, 8, 17, 12, 16, 10, 14]], [[1, 8, 18], [2, 7, 17], [3, 10, 13], [4, 9, 14], [5, 11, 16], [6, 12, 15]]], 'isomorphism': [756010269101110, 1863442505070430, 357001369769520, 6398275887320110, 1506441086040942], 'label': '18T30', 'n': 18, 'name': 't18n30', 'nilpotency': -1, 'num_conj_classes': 15, 'order': 72, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 1], [3, [3, 1], 1], [6, [3, 2], 1], [6, [6, 1], 1], [18, [6, 5], 1], [24, [4, 5], 1]], 'siblings': [[[12, 45], 1], [[18, 33], 1], [[24, 80], 1], [[24, 84], 1], [[36, 20], 1], [[36, 52], 1]], 'solv': 1, 'subfields': [[[3, 1], 1], [[3, 2], 1], [[6, 8], 1], [[9, 4], 1]], 't': 30, 'transitivity': 1}