Transitive group data - 36T20490

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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': '110592.cy', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 0, 'gapidfull': '', 'gens': [[[1, 12], [2, 11], [3, 9], [4, 10], [5, 8], [6, 7], [13, 24, 14, 23], [15, 21, 16, 22], [17, 20, 18, 19], [25, 35, 26, 36], [27, 34, 28, 33], [29, 32, 30, 31]], [[1, 24, 16, 31, 29, 9, 2, 23, 15, 32, 30, 10], [3, 20, 17, 34, 25, 11, 4, 19, 18, 33, 26, 12], [5, 21, 13, 36, 27, 8, 6, 22, 14, 35, 28, 7]], [[1, 10, 26, 33, 14, 21], [2, 9, 25, 34, 13, 22], [3, 8, 28, 31, 16, 19, 4, 7, 27, 32, 15, 20], [5, 12, 29, 36, 18, 23], [6, 11, 30, 35, 17, 24]]], 'isomorphism': [116688586405128301869840682066025439379073, 244327397017819614984395697022751048043463, 95422615432669732927745995176999798719694], 'label': '36T20490', 'n': 36, 'name': 't36n20490', 'nilpotency': -1, 'num_conj_classes': 392, 'order': 110592, 'parity': -1, 'prim': 0, 'quotients': [[2, [2, 1], 7], [3, [3, 1], 1], [4, [4, 2], 7], [6, [3, 2], 2], [6, [6, 1], 7], [8, [4, 3], 2], [8, [8, 3], 1], [12, [6, 3], 6], [12, [12, 2], 7], [16, [8, 9], 1], [18, [6, 5], 2], [24, [4, 5], 1], [24, [12, 10], 2], [24, [12, 13], 2], [24, [12, 14], 2], [24, [24, 3], 1], [36, [6, 9], 1], [36, [12, 18], 6], [48, [6, 11], 3], [48, [12, 28], 1], [48, [24, 25], 1], [48, [24, 38], 1], [72, [12, 37], 1], [72, [12, 42], 2], [72, [12, 45], 1], [72, [24, 68], 2], [96, [12, 48], 1], [108, [12, 70], 1], [144, [12, 83], 1], [144, [18, 61], 3], [144, [24, 204], 1], [144, [24, 208], 1], [144, [24, 248], 1], [192, [8, 41], 1], [192, [12, 86], 1], [216, [24, 547], 1], [288, [8, 42], 1], [288, [18, 111], 1], [288, [36, 330], 1], [384, [12, 136], 1], [432, [24, 1280], 1], [432, [24, 1328], 1], [576, [12, 158], 3], [576, [24, 1496], 1], [576, [24, 1497], 1], [576, [36, 739], 1], [576, [36, 771], 1], [768, [12, 186], 1], [864, [36, 1298], 1], [1152, [12, 208], 2], [1152, [24, 2772], 1], [1152, [36, 1629], 1], [1152, [36, 1654], 1], [1728, [24, 4931], 1], [1728, [24, 4944], 1], [1728, [36, 2390], 1], [2304, [24, 5101], 1], [2304, [36, 3070], 1], [2304, [36, 3112], 1], [3456, [36, 4310], 1], [3456, [36, 4315], 1], [6912, [32, 399497], 1], [6912, [36, 6859], 1], [6912, [36, 6860], 1], [13824, [36, 9644], 1], [27648, [32, 1123267], 1], [27648, [36, 13105], 1], [55296, [36, 16925], 1]], 'siblings': [[[36, 20490], 7]], 'solv': 1, 'subfields': [[[2, 1], 1], [[3, 2], 1], [[6, 3], 1], [[6, 5], 1], [[18, 46], 1]], 't': 20490}