Transitive group data - 36T33414

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• 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': '663552.hk', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 11, 13, 6, 8, 17], [2, 12, 14, 5, 7, 18], [3, 9, 15, 4, 10, 16], [19, 34], [20, 33], [21, 31], [22, 32], [23, 36, 24, 35], [25, 28, 26, 27], [29, 30]], [[1, 33, 14, 27, 8, 21], [2, 34, 13, 28, 7, 22], [3, 31, 15, 25, 10, 19, 4, 32, 16, 26, 9, 20], [5, 36, 18, 29, 12, 23, 6, 35, 17, 30, 11, 24]], [[1, 22, 15, 31, 5, 23, 14, 33, 4, 20, 17, 35], [2, 21, 16, 32, 6, 24, 13, 34, 3, 19, 18, 36], [7, 28, 9, 26, 11, 30, 8, 27, 10, 25, 12, 29]]], 'isomorphism': [31598601110936177188409984289925178748862, 212737495898812342711242250635611135673169, 212728804413302612895341377591847355972503], 'label': '36T33414', 'n': 36, 'name': 't36n33414', 'nilpotency': -1, 'num_conj_classes': 410, 'order': 663552, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [4, [4, 2], 7], [6, [3, 2], 2], [8, [4, 3], 6], [8, [8, 3], 1], [12, [6, 3], 6], [16, [8, 9], 3], [24, [12, 10], 2], [24, [12, 12], 2], [24, [12, 13], 2], [32, [8, 18], 1], [36, [6, 9], 1], [48, [12, 28], 4], [48, [24, 25], 1], [48, [24, 29], 1], [72, [6, 13], 1], [72, [12, 37], 1], [72, [12, 38], 2], [96, [24, 144], 1], [96, [24, 145], 1], [144, [12, 77], 1], [144, [12, 81], 2], [144, [24, 230], 1], [288, [12, 125], 1], [288, [24, 672], 1], [432, [12, 156], 2], [576, [8, 45], 1], [864, [24, 2647], 1], [864, [24, 2649], 1], [1152, [8, 47], 1], [1152, [12, 195], 1], [1152, [12, 196], 2], [1296, [12, 217], 1], [2304, [12, 235], 1], [2304, [12, 240], 2], [2304, [24, 5079], 1], [2592, [24, 5256], 1], [4608, [12, 260], 1], [4608, [24, 7509], 1], [6912, [24, 9627], 2], [13824, [36, 9787], 1], [13824, [36, 9788], 1], [20736, [24, 12608], 1], [20736, [24, 12610], 1], [41472, [36, 15412], 1], [41472, [36, 15418], 1], [331776, [32, 2267336], 1]], 'siblings': [[[36, 33414], 7], [[36, 33415], 8]], 'solv': 1, 'subfields': [[[2, 1], 1], [[6, 9], 1], [[6, 13], 1], [[18, 289], 1]], 't': 33414}