Transitive group data - 8T27

Formats: - HTML - YAML - JSON - 2026-02-15T06:45:44.552714

• 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': '64.32', 'arith_equiv': 0, 'aut_label': '2.1', 'auts': 2, 'bound_quotients': 47, 'bound_siblings': 47, 'cyc': 0, 'gapid': 32, 'gapidfull': '[64,32]', 'gens': [[[1, 2, 3, 8], [4, 5, 6, 7]], [[4, 8]]], 'isomorphism': [6425, 3030, 3420, 14493, 3109, 23616], 'label': '8T27', 'n': 8, 'name': '[2^4]4', 'nilpotency': 4, 'num_conj_classes': 13, 'order': 64, 'parity': -1, 'pretty': '$((C_8 : C_2):C_2):C_2$', 'prim': 0, 'quotients': [[2, [2, 1], 3], [4, [4, 1], 2], [4, [4, 2], 1], [8, [4, 3], 2], [8, [8, 2], 1], [16, [8, 10], 1], [32, [8, 19], 1]], 'siblings': [[[8, 27], 1], [[8, 28], 2], [[16, 130], 1], [[16, 157], 2], [[16, 158], 2], [[16, 159], 2], [[16, 166], 1], [[16, 170], 1], [[16, 171], 1], [[16, 172], 1], [[32, 138], 2], [[32, 139], 1], [[32, 170], 1], [[32, 176], 1]], 'solv': 1, 'subfields': [[[2, 1], 1], [[4, 1], 1]], 't': 27}