Transitive group data - 36T12166

Formats: - HTML - YAML - JSON - 2026-02-03T17:44:47.487947

• 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': '20736.ig', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 9, 6], [2, 10, 5], [3, 11, 8], [4, 12, 7], [13, 27, 19, 33], [14, 28, 20, 34], [15, 25, 17, 35], [16, 26, 18, 36], [21, 30, 22, 29], [23, 32, 24, 31]], [[1, 33, 12, 31], [2, 34, 11, 32], [3, 35, 10, 29], [4, 36, 9, 30], [5, 27, 8, 26], [6, 28, 7, 25], [13, 17, 21, 15, 20, 23, 14, 18, 22, 16, 19, 24]]], 'isomorphism': [106355430207061725311519338639077134981183, 276552852586947370160668839869084508958222], 'label': '36T12166', 'n': 36, 'name': 't36n12166', 'nilpotency': -1, 'num_conj_classes': 88, 'order': 20736, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 2], 1], [6, [3, 2], 1], [12, [6, 3], 1], [24, [4, 5], 3], [48, [6, 11], 3], [96, [8, 34], 1], [192, [8, 41], 2], [192, [12, 100], 1], [648, [9, 30], 1], [768, [16, 1068], 1], [1296, [18, 301], 1], [2592, [18, 402], 1], [5184, [18, 485], 1]], 'siblings': [[[36, 12000], 4], [[36, 12001], 4], [[36, 12166], 3], [[36, 12169], 4]], 'solv': 1, 'subfields': [[[3, 2], 1], [[6, 7], 1], [[9, 30], 1], [[12, 111], 1], [[18, 404], 1]], 't': 12166}