Abstract group data - 2654208.dk

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[404160090371592726931609, 486641096891285139422929], [404318350290223374969894, 512544326217442059346265], [378415242611956393407049, 486692309478557297974728], [324514298220480221016544, 486692309479858744954015], [404160090371592726931609, 486641096891285139422929], [378415120210845804541030, 512544327326343911652790], [404160090015899071814809, 512386066696338319524910], [404160090015899206443289, 486641096891285139422934], [404160088865151854995337, 486641096142155768222929], [404160088509458199878999, 540537296723522654175233], [458270383718415345235799, 540537296723522480350216], [378359164574879460099529, 540537297836527850307263], [404211302601869702827728, 512544204572341865414815], [404211302603171150532894, 512493235632265627716895], [404211302958864805291849, 486641096891285179334694], [378359164217884317713568, 512544204572341865782614], [404211302957550903902928, 486641096892586587127974], [404211302603171150175054, 486692309478557297606689], [404211302958864805291849, 486692309834238458770129], [378308194922114464095054, 486641097246966380777928], [378359286218672368382934, 486641096891285139422934], [404160090015899206443289, 512544326574431150052889], [404160089262684997496104, 241982193600205307055496]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 10616832, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 12.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 12, 1, 2], [2, 18, 1, 2], [2, 24, 2, 1], [2, 36, 1, 2], [2, 72, 1, 2], [2, 72, 2, 1], [2, 72, 4, 1], [2, 81, 1, 2], [2, 108, 1, 2], [2, 144, 1, 2], [2, 216, 2, 1], [2, 216, 4, 1], [2, 432, 1, 2], [2, 432, 2, 2], [2, 648, 1, 2], [2, 648, 2, 1], [2, 864, 2, 1], [2, 1296, 1, 4], [2, 2592, 2, 1], [3, 32, 1, 1], [3, 128, 1, 1], [3, 256, 1, 1], [3, 2048, 1, 1], [3, 4096, 1, 1], [4, 24, 2, 1], [4, 72, 1, 2], [4, 72, 2, 1], [4, 72, 4, 1], [4, 144, 1, 4], [4, 144, 2, 2], [4, 216, 2, 1], [4, 216, 4, 1], [4, 432, 1, 2], [4, 432, 2, 8], [4, 576, 2, 1], [4, 648, 1, 2], [4, 648, 2, 1], [4, 864, 2, 3], [4, 864, 4, 2], [4, 1296, 1, 6], [4, 1296, 2, 2], [4, 2592, 1, 2], [4, 2592, 2, 3], [4, 2592, 4, 2], [4, 3456, 2, 1], [4, 5184, 1, 6], [4, 5184, 2, 1], [4, 6912, 2, 1], [4, 20736, 2, 2], [6, 32, 1, 1], [6, 96, 1, 2], [6, 96, 2, 2], [6, 128, 1, 1], [6, 192, 2, 1], [6, 192, 4, 1], [6, 256, 1, 1], [6, 288, 1, 2], [6, 288, 2, 2], [6, 576, 4, 3], [6, 768, 1, 2], [6, 768, 2, 2], [6, 864, 1, 2], [6, 1152, 1, 4], [6, 1152, 2, 2], [6, 1536, 2, 1], [6, 1536, 4, 1], [6, 1728, 2, 1], [6, 1728, 4, 1], [6, 2048, 1, 1], [6, 2304, 1, 2], [6, 3456, 1, 2], [6, 3456, 2, 2], [6, 4096, 1, 1], [6, 4608, 1, 2], [6, 4608, 2, 1], [6, 4608, 4, 1], [6, 6144, 1, 2], [6, 6912, 2, 1], [6, 9216, 1, 2], [6, 12288, 2, 1], [8, 6912, 2, 1], [8, 13824, 4, 1], [8, 20736, 2, 2], [8, 41472, 2, 1], [8, 41472, 4, 1], [8, 82944, 4, 1], [12, 192, 2, 1], [12, 192, 4, 1], [12, 576, 4, 3], [12, 1152, 1, 2], [12, 1152, 2, 8], [12, 1536, 2, 1], [12, 1536, 4, 1], [12, 1728, 2, 1], [12, 1728, 4, 1], [12, 3456, 1, 2], [12, 3456, 2, 8], [12, 4608, 1, 2], [12, 4608, 2, 1], [12, 4608, 4, 1], [12, 6912, 2, 3], [12, 6912, 4, 2], [12, 9216, 1, 4], [12, 9216, 2, 3], [12, 12288, 2, 1], [12, 27648, 2, 1], [12, 36864, 2, 1], [12, 55296, 2, 1], [16, 82944, 4, 1], [24, 55296, 2, 1], [24, 110592, 4, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 12, 2], [2, 18, 2], [2, 24, 2], [2, 36, 2], [2, 72, 8], [2, 81, 2], [2, 108, 2], [2, 144, 2], [2, 216, 6], [2, 432, 6], [2, 648, 4], [2, 864, 2], [2, 1296, 4], [2, 2592, 2], [3, 32, 1], [3, 128, 1], [3, 256, 1], [3, 2048, 1], [3, 4096, 1], [4, 24, 2], [4, 72, 8], [4, 144, 8], [4, 216, 6], [4, 432, 18], [4, 576, 2], [4, 648, 4], [4, 864, 14], [4, 1296, 10], [4, 2592, 16], [4, 3456, 2], [4, 5184, 8], [4, 6912, 2], [4, 20736, 4], [6, 32, 1], [6, 96, 6], [6, 128, 1], [6, 192, 6], [6, 256, 1], [6, 288, 6], [6, 576, 12], [6, 768, 6], [6, 864, 2], [6, 1152, 8], [6, 1536, 6], [6, 1728, 6], [6, 2048, 1], [6, 2304, 2], [6, 3456, 6], [6, 4096, 1], [6, 4608, 8], [6, 6144, 2], [6, 6912, 2], [6, 9216, 2], [6, 12288, 2], [8, 6912, 2], [8, 13824, 4], [8, 20736, 4], [8, 41472, 6], [8, 82944, 4], [12, 192, 6], [12, 576, 12], [12, 1152, 18], [12, 1536, 6], [12, 1728, 6], [12, 3456, 18], [12, 4608, 8], [12, 6912, 14], [12, 9216, 10], [12, 12288, 2], [12, 27648, 2], [12, 36864, 2], [12, 55296, 2], [16, 82944, 4], [24, 55296, 2], [24, 110592, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '1327104.b', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 19, 'conjugacy_classes_known': True, 'counter': 89, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 12, 1, 2], [2, 18, 1, 2], [2, 24, 1, 2], [2, 36, 1, 2], [2, 72, 1, 8], [2, 81, 1, 2], [2, 108, 1, 2], [2, 144, 1, 2], [2, 216, 1, 6], [2, 432, 1, 6], [2, 648, 1, 4], [2, 864, 1, 2], [2, 1296, 1, 4], [2, 2592, 1, 2], [3, 32, 1, 1], [3, 128, 1, 1], [3, 256, 1, 1], [3, 2048, 1, 1], [3, 4096, 1, 1], [4, 24, 1, 2], [4, 72, 1, 8], [4, 144, 1, 8], [4, 216, 1, 6], [4, 432, 1, 18], [4, 576, 2, 1], [4, 648, 1, 4], [4, 864, 1, 14], [4, 1296, 1, 10], [4, 2592, 1, 16], [4, 3456, 2, 1], [4, 5184, 1, 6], [4, 5184, 2, 1], [4, 6912, 2, 1], [4, 20736, 2, 2], [6, 32, 1, 1], [6, 96, 1, 6], [6, 128, 1, 1], [6, 192, 1, 6], [6, 256, 1, 1], [6, 288, 1, 6], [6, 576, 1, 12], [6, 768, 1, 6], [6, 864, 1, 2], [6, 1152, 1, 8], [6, 1536, 1, 6], [6, 1728, 1, 6], [6, 2048, 1, 1], [6, 2304, 1, 2], [6, 3456, 1, 6], [6, 4096, 1, 1], [6, 4608, 1, 8], [6, 6144, 1, 2], [6, 6912, 1, 2], [6, 9216, 1, 2], [6, 12288, 1, 2], [8, 6912, 2, 1], [8, 13824, 4, 1], [8, 20736, 2, 2], [8, 41472, 2, 1], [8, 41472, 4, 1], [8, 82944, 4, 1], [12, 192, 1, 6], [12, 576, 1, 12], [12, 1152, 1, 18], [12, 1536, 1, 6], [12, 1728, 1, 6], [12, 3456, 1, 18], [12, 4608, 1, 8], [12, 6912, 1, 14], [12, 9216, 1, 8], [12, 9216, 2, 1], [12, 12288, 1, 2], [12, 27648, 2, 1], [12, 36864, 2, 1], [12, 55296, 2, 1], [16, 82944, 4, 1], [24, 55296, 2, 1], [24, 110592, 4, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 48, 'exponents_of_order': [15, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 16], [18, 0, 8], [24, 1, 24], [36, 1, 22], [48, 1, 12], [72, 0, 4], [72, 1, 24], [81, 0, 8], [96, 1, 2], [108, 1, 16], [144, 1, 5], [162, 0, 2], [216, 1, 8], [324, 1, 3]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '1327104.b', 'hash': 3477110754578726047, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [24, 8], 'inner_gens': [[404160090371592726931609, 540593253076268901600305], [404267138061434576777934, 486641096891285139422929]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 1327104, 'inner_split': None, 'inner_tex': 'S_4^2.S_4\\wr C_2.C_2', 'inner_used': None, 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 16], [2, 4], [4, 6], [8, 24], [12, 32], [16, 18], [18, 16], [24, 48], [32, 4], [36, 44], [48, 24], [72, 56], [81, 16], [96, 4], [108, 32], [144, 10], [162, 4], [216, 16], [324, 6]], 'label': '2654208.dk', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C2^8.S3^4:C8', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 206, 'number_characteristic_subgroups': 24, 'number_conjugacy_classes': 380, 'number_divisions': 350, 'number_normal_subgroups': 26, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 2654208, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 19999], [3, 6560], [4, 226272], [6, 183392], [8, 732672], [12, 600576], [16, 331776], [24, 552960]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': True, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '8.5', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 8, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^3', 'pc_rank': None, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 4], [2, 4], [4, 9], [8, 20], [12, 32], [16, 14], [18, 8], [24, 48], [32, 5], [36, 48], [48, 24], [64, 1], [72, 52], [81, 4], [96, 4], [108, 32], [144, 12], [162, 4], [216, 16], [324, 9]], 'representations': {'PC': {'code': '14482154296405135150827323848765829472418904569617263553445972577046173675848872180528119237942371850559322987513395694260198781190789551504922271958441116082133765375573781699937518115414442394851816061578519525586010138403747227339134494262561103608219483006178536416995741907329451506270367090245485962765748966937936046084794927982658439281380907336069958540893779184399804852393402117507173964447224755512242237592604798151302805306163179129392390164232044840715930385884471763630271266967172612363947427330035286179329701981634359473423043719580204984883897367897838481544198222176787601716827439139114134340751235009417761978790282927348636114523995113582333467777611553728656995151503155368266596447585983935392894097823930091317888', 'gens': [1, 4, 5, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19], 'pres': [19, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 38, 96, 131462979, 23746678, 38019649, 6303804, 22261924, 23786883, 45062342, 7880691, 270, 141484037, 11381784, 14775355, 7979150, 349410158, 94115081, 3105860, 12412155, 5261296, 2758388, 386, 304330759, 54112026, 1189293, 890195, 65804, 268382456, 8692299, 16867486, 46477865, 22795752, 7113361, 1150268, 222270, 502, 99821449, 117538588, 3994607, 1997346, 2968645, 333003, 165442, 52046026, 4454237, 64104528, 17786803, 7087694, 4356501, 1203964, 26477, 6432, 618, 87563, 262686, 32306737, 16350404, 9554199, 8766250, 1592477, 5635, 61461516, 252248287, 80154, 13483, 148925965, 1378976, 67913062, 33267113, 16978356, 570291854, 174337953, 82246, 61745, 12607503, 85100578, 788097, 131495, 22074, 144001168, 378421667, 67395961, 34535252, 15802563, 1430374, 610619, 232728, 162979, 93230, 41892, 7091729, 42550308, 11967357, 13075456, 726577, 55611, 60760, 374284818, 58014181, 56142814, 13450973, 5107560, 2534371, 1182806, 266626, 98780]}, 'Perm': {'d': 24, 'gens': [486641096891285139422929, 404160090371592726931609]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 8], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 64, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^8.S_3^4:C_8', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 156977105
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 89, 'group_order': 2654208, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 156977216
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 89, 'group_order': 2654208, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 25903229683158464681647, 'size': 1}
  • id: 156977327
    {'aut_label': '2B', 'centralizer': '12.B', 'counter': 3, 'group_counter': 89, 'group_order': 2654208, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 367920, 'size': 12}
  • id: 156977419
    {'aut_label': '2C', 'centralizer': '12.B', 'counter': 4, 'group_counter': 89, 'group_order': 2654208, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 122002101778601647, 'size': 12}
  • id: 156977430
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  • id: 156977441
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  • id: 156977452
    {'aut_label': '2F', 'centralizer': '24.K', 'counter': 7, 'group_counter': 89, 'group_order': 2654208, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 806527, 'size': 24}
  • id: 156977463
    {'aut_label': '2F', 'centralizer': '24.K', 'counter': 8, 'group_counter': 89, 'group_order': 2654208, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 357001369769656, 'size': 24}
  • id: 156977474
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  • id: 156977106
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  • id: 156977117
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  • id: 156977128
    {'aut_label': '2K', 'centralizer': None, 'counter': 12, 'group_counter': 89, 'group_order': 2654208, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 1313902195327, 'size': 72}
  • id: 156977139
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  • id: 156977150
    {'aut_label': '2J', 'centralizer': None, 'counter': 14, 'group_counter': 89, 'group_order': 2654208, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 2789745603127, 'size': 72}
  • id: 156977161
    {'aut_label': '2K', 'centralizer': None, 'counter': 15, 'group_counter': 89, 'group_order': 2654208, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 357001329489976, 'size': 72}
  • id: 156977172
    {'aut_label': '2K', 'centralizer': None, 'counter': 16, 'group_counter': 89, 'group_order': 2654208, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 51212944273488041656, 'size': 72}
  • id: 156977183
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  • id: 156977194
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  • id: 156977205
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  • id: 156977217
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  • id: 156977228
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  • id: 156977239
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  • id: 156977250
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  • id: 156977261
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  • id: 156977272
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  • id: 156977283
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  • id: 156977294
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  • id: 156977305
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  • id: 156977316
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  • id: 156977328
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  • id: 156977339
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  • id: 156977350
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  • id: 156977361
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  • id: 156977372
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  • id: 156977383
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  • id: 156977394
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  • id: 156977405
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  • id: 156977416
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  • id: 156977418
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  • id: 156977420
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  • id: 156977421
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  • id: 156977422
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  • id: 156977423
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  • id: 156977424
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  • id: 156977425
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  • id: 156977426
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  • id: 156977427
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  • id: 156977428
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  • id: 156977429
    {'aut_label': '3A', 'centralizer': '32.N', 'counter': 49, 'group_counter': 89, 'group_order': 2654208, 'label': '3A', 'order': 3, 'powers': [49, 1], 'representative': 583, 'size': 32}
  • id: 156977431
    {'aut_label': '3B', 'centralizer': None, 'counter': 50, 'group_counter': 89, 'group_order': 2654208, 'label': '3B', 'order': 3, 'powers': [50, 1], 'representative': 1507754773325383, 'size': 128}
  • id: 156977432
    {'aut_label': '3C', 'centralizer': '256.A', 'counter': 51, 'group_counter': 89, 'group_order': 2654208, 'label': '3C', 'order': 3, 'powers': [51, 1], 'representative': 174550903, 'size': 256}
  • id: 156977433
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  • id: 156977434
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  • id: 156977435
    {'aut_label': '4A', 'centralizer': '24.J', 'counter': 54, 'group_counter': 89, 'group_order': 2654208, 'label': '4A', 'order': 4, 'powers': [3, 54], 'representative': 41086207, 'size': 24}
  • id: 156977436
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  • id: 156977437
    {'aut_label': '4C', 'centralizer': None, 'counter': 56, 'group_counter': 89, 'group_order': 2654208, 'label': '4C', 'order': 4, 'powers': [3, 56], 'representative': 6267305542, 'size': 72}
  • id: 156977438
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  • id: 156977439
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  • id: 156977440
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  • id: 156977442
    {'aut_label': '4D', 'centralizer': None, 'counter': 60, 'group_counter': 89, 'group_order': 2654208, 'label': '4G', 'order': 4, 'powers': [3, 60], 'representative': 357001329489862, 'size': 72}
  • id: 156977443
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  • id: 156977444
    {'aut_label': '4I', 'centralizer': None, 'counter': 62, 'group_counter': 89, 'group_order': 2654208, 'label': '4I', 'order': 4, 'powers': [5, 62], 'representative': 4097379686422, 'size': 72}
  • id: 156977445
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  • id: 156977446
    {'aut_label': '4K', 'centralizer': None, 'counter': 64, 'group_counter': 89, 'group_order': 2654208, 'label': '4K', 'order': 4, 'powers': [3, 64], 'representative': 2789706487807, 'size': 144}
  • id: 156977447
    {'aut_label': '4L', 'centralizer': None, 'counter': 65, 'group_counter': 89, 'group_order': 2654208, 'label': '4L', 'order': 4, 'powers': [3, 65], 'representative': 4097379686536, 'size': 144}
  • id: 156977448
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  • id: 156977449
    {'aut_label': '4K', 'centralizer': None, 'counter': 67, 'group_counter': 89, 'group_order': 2654208, 'label': '4N', 'order': 4, 'powers': [3, 67], 'representative': 359784848505727, 'size': 144}
  • id: 156977450
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  • id: 156977451
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  • id: 156977453
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  • id: 156977454
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  • id: 156977455
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  • id: 156977456
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  • id: 156977457
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  • id: 156977458
    {'aut_label': '4S', 'centralizer': None, 'counter': 75, 'group_counter': 89, 'group_order': 2654208, 'label': '4V', 'order': 4, 'powers': [3, 75], 'representative': 122399628519168120, 'size': 216}
  • id: 156977459
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  • id: 156977460
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  • id: 156977461
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  • id: 156977462
    {'aut_label': '4Z', 'centralizer': None, 'counter': 79, 'group_counter': 89, 'group_order': 2654208, 'label': '4Z', 'order': 4, 'powers': [3, 79], 'representative': 25852140248909619012607, 'size': 432}
  • id: 156977464
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  • id: 156977465
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  • id: 156977466
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  • id: 156977467
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  • id: 156977468
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  • id: 156977469
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  • id: 156977470
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  • id: 156977471
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  • id: 156977472
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  • id: 156977473
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  • id: 156977475
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  • id: 156977476
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  • id: 156977477
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  • id: 156977478
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  • id: 156977479
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  • id: 156977480
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  • id: 156977481
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  • id: 156977482
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  • id: 156977483
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  • id: 156977484
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  • id: 156977107
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  • id: 156977108
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  • id: 156977109
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  • id: 156977110
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  • id: 156977111
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  • id: 156977112
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  • id: 156977113
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  • id: 156977114
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  • id: 156977115
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  • id: 156977116
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  • id: 156977118
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  • id: 156977119
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  • id: 156977120
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  • id: 156977121
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  • id: 156977122
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  • id: 156977123
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  • id: 156977124
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  • id: 156977125
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  • id: 156977126
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  • id: 156977127
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  • id: 156977129
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  • id: 156977130
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  • id: 156977131
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  • id: 156977132
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  • id: 156977133
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  • id: 156977134
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  • id: 156977135
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  • id: 156977136
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  • id: 156977137
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  • id: 156977138
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  • id: 156977140
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  • id: 156977141
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  • id: 156977142
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  • id: 156977143
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  • id: 156977144
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  • id: 156977145
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  • id: 156977146
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  • id: 156977147
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  • id: 156977148
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  • id: 156977149
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  • id: 156977151
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  • id: 156977152
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  • id: 156977153
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  • id: 156977154
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  • id: 156977155
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  • id: 156977156
    {'aut_label': '4CL', 'centralizer': None, 'counter': 145, 'group_counter': 89, 'group_order': 2654208, 'label': '4CL', 'order': 4, 'powers': [3, 145], 'representative': 108011118663924327895968, 'size': 5184}
  • id: 156977157
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  • id: 156977158
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  • id: 156977159
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  • id: 156977160
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  • id: 156977162
    {'aut_label': '4CQ1', 'centralizer': None, 'counter': 150, 'group_counter': 89, 'group_order': 2654208, 'label': '4CQ1', 'order': 4, 'powers': [20, 151], 'representative': 404211181316548000954319, 'size': 5184}
  • id: 156977163
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  • id: 156977164
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  • id: 156977165
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  • id: 156977166
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  • id: 156977167
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  • id: 156977168
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  • id: 156977169
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  • id: 156977170
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  • id: 156977171
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  • id: 156977173
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  • id: 156977174
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  • id: 156977175
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  • id: 156977176
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  • id: 156977177
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  • id: 156977178
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  • id: 156977179
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  • id: 156977180
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  • id: 156977181
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  • id: 156977182
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  • id: 156977184
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  • id: 156977185
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  • id: 156977186
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  • id: 156977187
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  • id: 156977188
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  • id: 156977189
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  • id: 156977190
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  • id: 156977191
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  • id: 156977192
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  • id: 156977193
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  • id: 156977195
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  • id: 156977196
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  • id: 156977197
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  • id: 156977198
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  • id: 156977199
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  • id: 156977200
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  • id: 156977201
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  • id: 156977202
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  • id: 156977203
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  • id: 156977204
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  • id: 156977206
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  • id: 156977207
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  • id: 156977208
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  • id: 156977209
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  • id: 156977210
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  • id: 156977211
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  • id: 156977215
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  • id: 156977218
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  • id: 156977219
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  • id: 156977220
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  • id: 156977221
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  • id: 156977223
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  • id: 156977224
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  • id: 156977226
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  • id: 156977227
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  • id: 156977229
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  • id: 156977242
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  • id: 156977253
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  • id: 156977256
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  • id: 156977257
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  • id: 156977258
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  • id: 156977259
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  • id: 156977260
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  • id: 156977262
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  • id: 156977264
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  • id: 156977265
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  • id: 156977266
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  • id: 156977267
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  • id: 156977268
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  • id: 156977269
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  • id: 156977270
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  • id: 156977271
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  • id: 156977273
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  • id: 156977274
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  • id: 156977275
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  • id: 156977276
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  • id: 156977277
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  • id: 156977278
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  • id: 156977279
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  • id: 156977280
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  • id: 156977281
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  • id: 156977285
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  • id: 156977291
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  • id: 156977292
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  • id: 156977297
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  • id: 156977298
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  • id: 156977300
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  • id: 156977301
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  • id: 156977302
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  • id: 156977303
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  • id: 156977304
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  • id: 156977306
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  • id: 156977307
    {'aut_label': '12G', 'centralizer': None, 'counter': 281, 'group_counter': 89, 'group_order': 2654208, 'label': '12Q', 'order': 12, 'powers': [163, 59], 'representative': 51213343282300286767, 'size': 576}
  • id: 156977308
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  • id: 156977309
    {'aut_label': '12S', 'centralizer': None, 'counter': 283, 'group_counter': 89, 'group_order': 2654208, 'label': '12S', 'order': 12, 'powers': [162, 64], 'representative': 2789706130145, 'size': 1152}
  • id: 156977310
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  • id: 156977311
    {'aut_label': '12U', 'centralizer': None, 'counter': 285, 'group_counter': 89, 'group_order': 2654208, 'label': '12U', 'order': 12, 'powers': [162, 65], 'representative': 2796020236936, 'size': 1152}
  • id: 156977312
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  • id: 156977313
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  • id: 156977314
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  • id: 156977315
    {'aut_label': '12Y', 'centralizer': None, 'counter': 289, 'group_counter': 89, 'group_order': 2654208, 'label': '12Y', 'order': 12, 'powers': [163, 68], 'representative': 756016369118656, 'size': 1152}
  • id: 156977317
    {'aut_label': '12Z', 'centralizer': None, 'counter': 290, 'group_counter': 89, 'group_order': 2654208, 'label': '12Z', 'order': 12, 'powers': [178, 69], 'representative': 756016369118777, 'size': 1152}
  • id: 156977318
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  • id: 156977319
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  • id: 156977320
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  • id: 156977321
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  • id: 156977322
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  • id: 156977323
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  • id: 156977324
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  • id: 156977325
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  • id: 156977326
    {'aut_label': '12AI', 'centralizer': None, 'counter': 299, 'group_counter': 89, 'group_order': 2654208, 'label': '12AI', 'order': 12, 'powers': [176, 63], 'representative': 25903229684640543249977, 'size': 1152}
  • id: 156977329
    {'aut_label': '12S', 'centralizer': None, 'counter': 300, 'group_counter': 89, 'group_order': 2654208, 'label': '12AJ', 'order': 12, 'powers': [163, 67], 'representative': 25903230082167276926776, 'size': 1152}
  • id: 156977330
    {'aut_label': '12AK', 'centralizer': None, 'counter': 301, 'group_counter': 89, 'group_order': 2654208, 'label': '12AK', 'order': 12, 'powers': [194, 54], 'representative': 358483448338144, 'size': 1536}
  • id: 156977331
    {'aut_label': '12AL', 'centralizer': None, 'counter': 302, 'group_counter': 89, 'group_order': 2654208, 'label': '12AL', 'order': 12, 'powers': [195, 54], 'representative': 756010182014945, 'size': 1536}
  • id: 156977332
    {'aut_label': '12AK', 'centralizer': None, 'counter': 303, 'group_counter': 89, 'group_order': 2654208, 'label': '12AM', 'order': 12, 'powers': [196, 55], 'representative': 756016456209857, 'size': 1536}
  • id: 156977333
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  • id: 156977334
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  • id: 156977335
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  • id: 156977336
    {'aut_label': '12AQ', 'centralizer': None, 'counter': 307, 'group_counter': 89, 'group_order': 2654208, 'label': '12AQ', 'order': 12, 'powers': [163, 72], 'representative': 51090943485825291175, 'size': 1728}
  • id: 156977337
    {'aut_label': '12AR', 'centralizer': None, 'counter': 308, 'group_counter': 89, 'group_order': 2654208, 'label': '12AR', 'order': 12, 'powers': [164, 73], 'representative': 51214450714319697862, 'size': 1728}
  • id: 156977338
    {'aut_label': '12AR', 'centralizer': None, 'counter': 309, 'group_counter': 89, 'group_order': 2654208, 'label': '12AS', 'order': 12, 'powers': [164, 74], 'representative': 25852139138519723192105, 'size': 1728}
  • id: 156977340
    {'aut_label': '12AQ', 'centralizer': None, 'counter': 310, 'group_counter': 89, 'group_order': 2654208, 'label': '12AT', 'order': 12, 'powers': [162, 75], 'representative': 122754008401073400, 'size': 1728}
  • id: 156977341
    {'aut_label': '12AQ', 'centralizer': None, 'counter': 311, 'group_counter': 89, 'group_order': 2654208, 'label': '12AU', 'order': 12, 'powers': [163, 76], 'representative': 79962312702370185969841, 'size': 1728}
  • id: 156977342
    {'aut_label': '12AQ', 'centralizer': None, 'counter': 312, 'group_counter': 89, 'group_order': 2654208, 'label': '12AV', 'order': 12, 'powers': [162, 77], 'representative': 79962312304837138544329, 'size': 1728}
  • id: 156977343
    {'aut_label': '12AW', 'centralizer': None, 'counter': 313, 'group_counter': 89, 'group_order': 2654208, 'label': '12AW', 'order': 12, 'powers': [164, 78], 'representative': 123507235150795457, 'size': 3456}
  • id: 156977344
    {'aut_label': '12AX', 'centralizer': None, 'counter': 314, 'group_counter': 89, 'group_order': 2654208, 'label': '12AX', 'order': 12, 'powers': [162, 79], 'representative': 25852140248909618655336, 'size': 3456}
  • id: 156977345
    {'aut_label': '12AY', 'centralizer': None, 'counter': 315, 'group_counter': 89, 'group_order': 2654208, 'label': '12AY', 'order': 12, 'powers': [177, 80], 'representative': 79804052783907715030729, 'size': 3456}
  • id: 156977346
    {'aut_label': '12AZ', 'centralizer': None, 'counter': 316, 'group_counter': 89, 'group_order': 2654208, 'label': '12AZ', 'order': 12, 'powers': [163, 81], 'representative': 54110175073093455321721, 'size': 3456}
  • id: 156977347
    {'aut_label': '12BA', 'centralizer': None, 'counter': 317, 'group_counter': 89, 'group_order': 2654208, 'label': '12BA', 'order': 12, 'powers': [176, 82], 'representative': 79804174074628585035000, 'size': 3456}
  • id: 156977348
    {'aut_label': '12AY', 'centralizer': None, 'counter': 318, 'group_counter': 89, 'group_order': 2654208, 'label': '12BB', 'order': 12, 'powers': [178, 83], 'representative': 133914225990594906219577, 'size': 3456}
  • id: 156977349
    {'aut_label': '12BC', 'centralizer': None, 'counter': 319, 'group_counter': 89, 'group_order': 2654208, 'label': '12BC', 'order': 12, 'powers': [164, 84], 'representative': 107904070222337766188153, 'size': 3456}
  • id: 156977351
    {'aut_label': '12AX', 'centralizer': None, 'counter': 320, 'group_counter': 89, 'group_order': 2654208, 'label': '12BD', 'order': 12, 'powers': [163, 85], 'representative': 79962190662526521758641, 'size': 3456}
  • id: 156977352
    {'aut_label': '12BE', 'centralizer': None, 'counter': 321, 'group_counter': 89, 'group_order': 2654208, 'label': '12BE', 'order': 12, 'powers': [176, 86], 'representative': 108011239201424420830656, 'size': 3456}
  • id: 156977353
    {'aut_label': '12BF', 'centralizer': None, 'counter': 322, 'group_counter': 89, 'group_order': 2654208, 'label': '12BF', 'order': 12, 'powers': [177, 87], 'representative': 133914226349072039275462, 'size': 3456}
  • id: 156977354
    {'aut_label': '12BC', 'centralizer': None, 'counter': 323, 'group_counter': 89, 'group_order': 2654208, 'label': '12BG', 'order': 12, 'powers': [164, 88], 'representative': 133756087358762017994887, 'size': 3456}
  • id: 156977355
    {'aut_label': '12BF', 'centralizer': None, 'counter': 324, 'group_counter': 89, 'group_order': 2654208, 'label': '12BH', 'order': 12, 'powers': [178, 89], 'representative': 108062330499277544275912, 'size': 3456}
  • id: 156977356
    {'aut_label': '12BI', 'centralizer': None, 'counter': 325, 'group_counter': 89, 'group_order': 2654208, 'label': '12BI', 'order': 12, 'powers': [162, 90], 'representative': 25903108789964764248655, 'size': 3456}
  • id: 156977357
    {'aut_label': '12AW', 'centralizer': None, 'counter': 326, 'group_counter': 89, 'group_order': 2654208, 'label': '12BJ', 'order': 12, 'powers': [164, 91], 'representative': 133807299549802575384376, 'size': 3456}
  • id: 156977358
    {'aut_label': '12AZ', 'centralizer': None, 'counter': 327, 'group_counter': 89, 'group_order': 2654208, 'label': '12BK', 'order': 12, 'powers': [162, 92], 'representative': 79804174074634596792529, 'size': 3456}
  • id: 156977359
    {'aut_label': '12BI', 'centralizer': None, 'counter': 328, 'group_counter': 89, 'group_order': 2654208, 'label': '12BL', 'order': 12, 'powers': [163, 93], 'representative': 133914347638491461932921, 'size': 3456}
  • id: 156977360
    {'aut_label': '12BM', 'centralizer': None, 'counter': 329, 'group_counter': 89, 'group_order': 2654208, 'label': '12BM', 'order': 12, 'powers': [162, 94], 'representative': 54003248632295031283206, 'size': 3456}
  • id: 156977362
    {'aut_label': '12BM', 'centralizer': None, 'counter': 330, 'group_counter': 89, 'group_order': 2654208, 'label': '12BN', 'order': 12, 'powers': [163, 95], 'representative': 108062330497969870719064, 'size': 3456}
  • id: 156977363
    {'aut_label': '12BO', 'centralizer': None, 'counter': 331, 'group_counter': 89, 'group_order': 2654208, 'label': '12BO', 'order': 12, 'powers': [205, 62], 'representative': 133863136156029613944823, 'size': 4608}
  • id: 156977364
    {'aut_label': '12BP', 'centralizer': None, 'counter': 332, 'group_counter': 89, 'group_order': 2654208, 'label': '12BP', 'order': 12, 'powers': [196, 58], 'representative': 51091698182065188775, 'size': 4608}
  • id: 156977365
    {'aut_label': '12BQ', 'centralizer': None, 'counter': 333, 'group_counter': 89, 'group_order': 2654208, 'label': '12BQ', 'order': 12, 'powers': [205, 63], 'representative': 54003248633608933040225, 'size': 4608}
  • id: 156977366
    {'aut_label': '12BR', 'centralizer': None, 'counter': 334, 'group_counter': 89, 'group_order': 2654208, 'label': '12BR', 'order': 12, 'powers': [195, 59], 'representative': 26010156125432866469742, 'size': 4608}
  • id: 156977367
    {'aut_label': '12BR', 'centralizer': None, 'counter': 335, 'group_counter': 89, 'group_order': 2654208, 'label': '12BS', 'order': 12, 'powers': [195, 56], 'representative': 51091699489612548905, 'size': 4608}
  • id: 156977368
    {'aut_label': '12BP', 'centralizer': None, 'counter': 336, 'group_counter': 89, 'group_order': 2654208, 'label': '12BT', 'order': 12, 'powers': [196, 61], 'representative': 107955162670950347563447, 'size': 4608}
  • id: 156977369
    {'aut_label': '12BP', 'centralizer': None, 'counter': 337, 'group_counter': 89, 'group_order': 2654208, 'label': '12BU', 'order': 12, 'powers': [194, 57], 'representative': 54110295565952336893030, 'size': 4608}
  • id: 156977370
    {'aut_label': '12BP', 'centralizer': None, 'counter': 338, 'group_counter': 89, 'group_order': 2654208, 'label': '12BV', 'order': 12, 'powers': [194, 60], 'representative': 79911099716257560441904, 'size': 4608}
  • id: 156977371
    {'aut_label': '12BW', 'centralizer': None, 'counter': 339, 'group_counter': 89, 'group_order': 2654208, 'label': '12BW', 'order': 12, 'powers': [177, 102], 'representative': 54003249027038245944649, 'size': 6912}
  • id: 156977373
    {'aut_label': '12BW', 'centralizer': None, 'counter': 340, 'group_counter': 89, 'group_order': 2654208, 'label': '12BX', 'order': 12, 'powers': [178, 103], 'representative': 79804173320100347696632, 'size': 6912}
  • id: 156977374
    {'aut_label': '12BY', 'centralizer': None, 'counter': 341, 'group_counter': 89, 'group_order': 2654208, 'label': '12BY', 'order': 12, 'powers': [163, 104], 'representative': 79855142618485675889574, 'size': 6912}
  • id: 156977375
    {'aut_label': '12BW', 'centralizer': None, 'counter': 342, 'group_counter': 89, 'group_order': 2654208, 'label': '12BZ', 'order': 12, 'powers': [178, 105], 'representative': 25959186075141265323190, 'size': 6912}
  • id: 156977376
    {'aut_label': '12BY', 'centralizer': None, 'counter': 343, 'group_counter': 89, 'group_order': 2654208, 'label': '12CA', 'order': 12, 'powers': [162, 106], 'representative': 54059204269575096042232, 'size': 6912}
  • id: 156977377
    {'aut_label': '12BY', 'centralizer': None, 'counter': 344, 'group_counter': 89, 'group_order': 2654208, 'label': '12CB', 'order': 12, 'powers': [162, 107], 'representative': 108011117914795131326929, 'size': 6912}
  • id: 156977378
    {'aut_label': '12CC', 'centralizer': None, 'counter': 345, 'group_counter': 89, 'group_order': 2654208, 'label': '12CC', 'order': 12, 'powers': [164, 108], 'representative': 108062209254499761905302, 'size': 6912}
  • id: 156977379
    {'aut_label': '12BY', 'centralizer': None, 'counter': 346, 'group_counter': 89, 'group_order': 2654208, 'label': '12CD', 'order': 12, 'powers': [163, 109], 'representative': 108062209253198274646456, 'size': 6912}
  • id: 156977380
    {'aut_label': '12CE', 'centralizer': None, 'counter': 347, 'group_counter': 89, 'group_order': 2654208, 'label': '12CE', 'order': 12, 'powers': [176, 110], 'representative': 133863257047909800101633, 'size': 6912}
  • id: 156977381
    {'aut_label': '12BW', 'centralizer': None, 'counter': 348, 'group_counter': 89, 'group_order': 2654208, 'label': '12CF', 'order': 12, 'powers': [177, 111], 'representative': 54003125878292898679968, 'size': 6912}
  • id: 156977382
    {'aut_label': '12CG', 'centralizer': None, 'counter': 349, 'group_counter': 89, 'group_order': 2654208, 'label': '12CG', 'order': 12, 'powers': [198, 112], 'representative': 158139739439520209998, 'size': 6912}
  • id: 156977384
    {'aut_label': '12CC', 'centralizer': None, 'counter': 350, 'group_counter': 89, 'group_order': 2654208, 'label': '12CH', 'order': 12, 'powers': [164, 113], 'representative': 133914225238856675388863, 'size': 6912}
  • id: 156977385
    {'aut_label': '12CE', 'centralizer': None, 'counter': 351, 'group_counter': 89, 'group_order': 2654208, 'label': '12CI', 'order': 12, 'powers': [176, 114], 'representative': 79962312307626884585537, 'size': 6912}
  • id: 156977386
    {'aut_label': '12CG', 'centralizer': None, 'counter': 352, 'group_counter': 89, 'group_order': 2654208, 'label': '12CJ', 'order': 12, 'powers': [198, 115], 'representative': 79962190306839047295358, 'size': 6912}
  • id: 156977387
    {'aut_label': '12CK', 'centralizer': None, 'counter': 353, 'group_counter': 89, 'group_order': 2654208, 'label': '12CK', 'order': 12, 'powers': [195, 65], 'representative': 107904069869446357517089, 'size': 9216}
  • id: 156977388
    {'aut_label': '12CL', 'centralizer': None, 'counter': 354, 'group_counter': 89, 'group_order': 2654208, 'label': '12CL', 'order': 12, 'powers': [220, 66], 'representative': 108062330146379821498030, 'size': 9216}
  • id: 156977389
    {'aut_label': '12CM', 'centralizer': None, 'counter': 355, 'group_counter': 89, 'group_order': 2654208, 'label': '12CM', 'order': 12, 'powers': [195, 71], 'representative': 54059204270889084154199, 'size': 9216}
  • id: 156977390
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  • id: 156977391
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  • id: 156977392
    {'aut_label': '12CP', 'centralizer': None, 'counter': 358, 'group_counter': 89, 'group_order': 2654208, 'label': '12CP', 'order': 12, 'powers': [220, 69], 'representative': 79804175180746702699462, 'size': 9216}
  • id: 156977393
    {'aut_label': '12CN', 'centralizer': None, 'counter': 359, 'group_counter': 89, 'group_order': 2654208, 'label': '12CQ', 'order': 12, 'powers': [196, 67], 'representative': 133807179058251629379697, 'size': 9216}
  • id: 156977395
    {'aut_label': '12CO', 'centralizer': None, 'counter': 360, 'group_counter': 89, 'group_order': 2654208, 'label': '12CR', 'order': 12, 'powers': [194, 70], 'representative': 107904191871541996184263, 'size': 9216}
  • id: 156977396
    {'aut_label': '12CS1', 'centralizer': None, 'counter': 361, 'group_counter': 89, 'group_order': 2654208, 'label': '12CS1', 'order': 12, 'powers': [165, 96], 'representative': 458270262826541513475414, 'size': 9216}
  • id: 156977397
    {'aut_label': '12CS1', 'centralizer': None, 'counter': 362, 'group_counter': 89, 'group_order': 2654208, 'label': '12CS-1', 'order': 12, 'powers': [165, 97], 'representative': 350366314959365246000329, 'size': 9216}
  • id: 156977398
    {'aut_label': '12CT', 'centralizer': None, 'counter': 363, 'group_counter': 89, 'group_order': 2654208, 'label': '12CT', 'order': 12, 'powers': [237, 54], 'representative': 26010156126734361792576, 'size': 12288}
  • id: 156977399
    {'aut_label': '12CT', 'centralizer': None, 'counter': 364, 'group_counter': 89, 'group_order': 2654208, 'label': '12CU', 'order': 12, 'powers': [237, 55], 'representative': 133863135406900504018264, 'size': 12288}
  • id: 156977400
    {'aut_label': '12CV1', 'centralizer': None, 'counter': 365, 'group_counter': 89, 'group_order': 2654208, 'label': '12CV1', 'order': 12, 'powers': [206, 142], 'representative': 324463085281617928133351, 'size': 27648}
  • id: 156977401
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  • id: 156977402
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  • id: 156977403
    {'aut_label': '12CW1', 'centralizer': None, 'counter': 368, 'group_counter': 89, 'group_order': 2654208, 'label': '12CW-1', 'order': 12, 'powers': [228, 97], 'representative': 324356160345965108887702, 'size': 36864}
  • id: 156977404
    {'aut_label': '12CX1', 'centralizer': None, 'counter': 369, 'group_counter': 89, 'group_order': 2654208, 'label': '12CX1', 'order': 12, 'powers': [229, 152], 'representative': 324356037593264597456224, 'size': 55296}
  • id: 156977406
    {'aut_label': '12CX1', 'centralizer': None, 'counter': 370, 'group_counter': 89, 'group_order': 2654208, 'label': '12CX-1', 'order': 12, 'powers': [229, 153], 'representative': 458270385223548415795897, 'size': 55296}
  • id: 156977407
    {'aut_label': '16A1', 'centralizer': None, 'counter': 371, 'group_counter': 89, 'group_order': 2654208, 'label': '16A1', 'order': 16, 'powers': [251, 373], 'representative': 512493234522043687275576, 'size': 82944}
  • id: 156977408
    {'aut_label': '16A1', 'centralizer': None, 'counter': 372, 'group_counter': 89, 'group_order': 2654208, 'label': '16A-1', 'order': 16, 'powers': [252, 374], 'representative': 162178018419278195751742, 'size': 82944}
  • id: 156977409
    {'aut_label': '16A1', 'centralizer': None, 'counter': 373, 'group_counter': 89, 'group_order': 2654208, 'label': '16A3', 'order': 16, 'powers': [252, 371], 'representative': 270240350069489506559977, 'size': 82944}
  • id: 156977410
    {'aut_label': '16A1', 'centralizer': None, 'counter': 374, 'group_counter': 89, 'group_order': 2654208, 'label': '16A-3', 'order': 16, 'powers': [251, 372], 'representative': 540644345524881482976143, 'size': 82944}
  • id: 156977411
    {'aut_label': '24A1', 'centralizer': None, 'counter': 375, 'group_counter': 89, 'group_order': 2654208, 'label': '24A1', 'order': 24, 'powers': [331, 245], 'representative': 378308194920806877180727, 'size': 55296}
  • id: 156977412
    {'aut_label': '24A1', 'centralizer': None, 'counter': 376, 'group_counter': 89, 'group_order': 2654208, 'label': '24A-1', 'order': 24, 'powers': [331, 246], 'representative': 458112245087890050744544, 'size': 55296}
  • id: 156977413
    {'aut_label': '24B1', 'centralizer': None, 'counter': 377, 'group_counter': 89, 'group_order': 2654208, 'label': '24B1', 'order': 24, 'powers': [367, 247], 'representative': 540537297083307501425296, 'size': 110592}
  • id: 156977414
    {'aut_label': '24B1', 'centralizer': None, 'counter': 378, 'group_counter': 89, 'group_order': 2654208, 'label': '24B-1', 'order': 24, 'powers': [368, 248], 'representative': 295985318722481662882969, 'size': 110592}
  • id: 156977415
    {'aut_label': '24B1', 'centralizer': None, 'counter': 379, 'group_counter': 89, 'group_order': 2654208, 'label': '24B5', 'order': 24, 'powers': [367, 250], 'representative': 594596256946880436063233, 'size': 110592}
  • id: 156977417
    {'aut_label': '24B1', 'centralizer': None, 'counter': 380, 'group_counter': 89, 'group_order': 2654208, 'label': '24B-5', 'order': 24, 'powers': [368, 249], 'representative': 162178020280098948419158, 'size': 110592}
• group 2654208.dk does not appear in gps_qchar
• group 2654208.dk does not appear in gps_char
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 181582794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2654208, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '2654208.dk.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2654208.dk', 'subgroup_hash': 3477110754578726047, 'subgroup_order': 2654208, 'subgroup_tex': 'C_2^8.S_3^4:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 181582905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1327104, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1327104.ju', 'subgroup_hash': 3224865218503222929, 'subgroup_order': 1327104, 'subgroup_tex': 'C_2^9.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1327104, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1327104.dw', 'subgroup_hash': 3991623061608386947, 'subgroup_order': 1327104, 'subgroup_tex': 'C_2^8.C_3:S_3^3:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 181583127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1327104, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1327104.dt', 'subgroup_hash': 3451977368210377443, 'subgroup_order': 1327104, 'subgroup_tex': 'C_2^8.C_3:S_3^3:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 181583238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 663552, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1841719979099681681, 'subgroup_order': 663552, 'subgroup_tex': 'C_2^8.C_3^4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 663552, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '663552.hg', 'subgroup_hash': 5022462326298558909, 'subgroup_order': 663552, 'subgroup_tex': 'A_4^2.(C_2\\times S_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 181583337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 663552, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '663552.hl', 'subgroup_hash': 123968997661675644, 'subgroup_order': 663552, 'subgroup_tex': 'A_4^2.(C_2\\times S_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 181583348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 331776, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '663552.hj', 'subgroup_hash': 2669712945035207249, 'subgroup_order': 663552, 'subgroup_tex': 'C_2^5.S_4^2:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 331776, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '663552.hm', 'subgroup_hash': 2468486619044142514, 'subgroup_order': 663552, 'subgroup_tex': 'C_2\\times S_4^2.A_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 331776, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '663552.cf', 'subgroup_hash': 8180507050169225314, 'subgroup_order': 663552, 'subgroup_tex': 'C_2.A_4^2\\wr C_2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 331776, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '663552.cu', 'subgroup_hash': 4888799462136853573, 'subgroup_order': 663552, 'subgroup_tex': 'C_2^9.C_3^4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 181582817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 130221716812911076, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.ds', 'subgroup_hash': 3381593566924979649, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^9.C_3:S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 331776, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.dp', 'subgroup_hash': 8370293220914003487, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.(A_4^2:C_4\\times C_2^2)', 'supersolvable': False, 'sylow': 0}
  • id: 181582850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 331776, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 34738598858123070, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6635807445192615564, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.do', 'subgroup_hash': 3155607580156777221, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^9.C_3\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 165888, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8357885729936179329, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8357885729936179329, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7637990958530164431, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.fd', 'subgroup_hash': 673965494360075347, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 165888, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.ea', 'subgroup_hash': 4000506143345116513, 'subgroup_order': 331776, 'subgroup_tex': 'A_4^2.(C_2^6.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 181582939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.ff', 'subgroup_hash': 6022231534165308607, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^9.C_3^4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.bh', 'subgroup_hash': 6468349972800243366, 'subgroup_order': 331776, 'subgroup_tex': 'C_2.A_4\\wr C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.bq', 'subgroup_hash': 3226342692251342792, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^9.C_3^2:F_9', 'supersolvable': False, 'sylow': 0}
  • id: 181582972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.cf', 'subgroup_hash': 1388729102209071862, 'subgroup_order': 331776, 'subgroup_tex': 'S_4^2.A_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 34738598858123070, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 34738598858123070, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 165888, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 34738598858123070, 'subgroup_order': 331776, 'subgroup_tex': 'C_2^8.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '331776.ch', 'subgroup_hash': 2656273495353279135, 'subgroup_order': 331776, 'subgroup_tex': '\\PSOPlus(4,3).S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '221184.fx', 'subgroup_hash': 5450522864149086523, 'subgroup_order': 221184, 'subgroup_tex': 'C_2^5.S_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181583039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4416530626276024512, 'subgroup_order': 221184, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 181583050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5567369190565414636, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7307571420980793574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 165888, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7307571420980793574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8455560490968478054, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8927679420302681916, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8927679420302681916, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9180726724115817453, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5392382818104641185, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5392382818104641185, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9065525549307909949, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4640358705819435574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bz', 'subgroup_hash': 3873065466740057978, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.cb', 'subgroup_hash': 7720887024710334019, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4640358705819435574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5567369190565414636, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.ct', 'subgroup_hash': 6444717941525687546, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3^2:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.cj', 'subgroup_hash': 7262053982527474953, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^9.C_3^4:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.y', 'subgroup_hash': 4150800218766867588, 'subgroup_order': 165888, 'subgroup_tex': 'C_2.A_4\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3080819759781577114, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3080819759781577114, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3080819759781577114, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.vB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.vC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.yB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.yC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972488278700169660, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4984027877266111565, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4984027877266111565, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4984027877266111565, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7307571420980793574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bj', 'subgroup_hash': 730329631453731067, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.(C_2^5.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 181583334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bl', 'subgroup_hash': 1559182994442284888, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.(C_2\\times A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 181583335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7307571420980793574, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 82944, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.bj', 'subgroup_hash': 730329631453731067, 'subgroup_order': 165888, 'subgroup_tex': 'A_4^2.(C_2^5.S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 181583338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.16.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.f', 'subgroup_hash': 7038518632929184139, 'subgroup_order': 165888, 'subgroup_tex': 'C_2^8.C_3^2:F_9', 'supersolvable': False, 'sylow': 0}
  • id: 181583339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2408546156180445566, 'subgroup_order': 147456, 'subgroup_tex': 'A_4^2.C_2^3.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5653505707184040696, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 172926777319810171, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 172926777319810171, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 943208976833438752, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 943208976833438752, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 733817628401999983, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 733817628401999983, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2595665206959562247, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2595665206959562247, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9063849424233463870, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8010644980968441620, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.S_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2786200777729786935, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6230101453621060082, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_6^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 943208976833438752, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 943208976833438752, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 300864766286169069, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 300864766286169069, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_6^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.dx', 'subgroup_hash': 1284701866516407968, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^4.S_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 181583360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.ez', 'subgroup_hash': 9121499645117168143, 'subgroup_order': 110592, 'subgroup_tex': '(C_2^3\\times S_4^2).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3716470662206575416, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^8.C_3.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2595665206959562247, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3716470662206575416, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^8.C_3.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2595665206959562247, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2544891385152577799, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2544891385152577799, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8010644980968441620, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 181583368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.fe', 'subgroup_hash': 2190606843871561247, 'subgroup_order': 110592, 'subgroup_tex': '(C_2^3\\times A_4^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 181583369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.fc', 'subgroup_hash': 8060336553499465526, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2:C_2^3.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 181582796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5653505707184040696, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.ef', 'subgroup_hash': 7772883098097827314, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^9.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.ee', 'subgroup_hash': 1708275570697544150, 'subgroup_order': 110592, 'subgroup_tex': 'A_4^2.(C_2^6.D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 181582799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110592.bh', 'subgroup_hash': 415410088716250445, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^4:A_4^2.(S_3\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 181582800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.24.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2697682162934222917, 'subgroup_order': 110592, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 82944, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2546485499291282415, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 82944, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 82944, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.dj', 'subgroup_hash': 6414075953596392158, 'subgroup_order': 82944, 'subgroup_tex': 'S_4^2.S_3^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1263333857229132809, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3434993618820008012, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3434993618820008012, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6569123428866580285, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6569123428866580285, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4598323087339442540, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4598323087339442540, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2902534165401925203, 'subgroup_order': 82944, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2902534165401925203, 'subgroup_order': 82944, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1205342657713569372, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4331721853962685595, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5946425042483017675, 'subgroup_order': 82944, 'subgroup_tex': 'A_4.C_2^6.C_3.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6473172681980408409, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6473172681980408409, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7033756190476838946, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.bj', 'subgroup_hash': 2479346017821051446, 'subgroup_order': 82944, 'subgroup_tex': 'C_2.A_4^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.gc', 'subgroup_hash': 3780766788112746462, 'subgroup_order': 82944, 'subgroup_tex': 'S_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.gc', 'subgroup_hash': 3780766788112746462, 'subgroup_order': 82944, 'subgroup_tex': 'S_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.gc', 'subgroup_hash': 3780766788112746462, 'subgroup_order': 82944, 'subgroup_tex': 'S_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.gc', 'subgroup_hash': 3780766788112746462, 'subgroup_order': 82944, 'subgroup_tex': 'S_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.gc', 'subgroup_hash': 3780766788112746462, 'subgroup_order': 82944, 'subgroup_tex': 'S_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.gc', 'subgroup_hash': 3780766788112746462, 'subgroup_order': 82944, 'subgroup_tex': 'S_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7021020918360669291, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7021020918360669291, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7021020918360669291, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7021020918360669291, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5084118846766018940, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5084118846766018940, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8318075847183760669, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8318075847183760669, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8318075847183760669, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8318075847183760669, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6171503431787250858, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3554005442086116252, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.bg', 'subgroup_hash': 3455798045192714473, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6171503431787250858, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6171503431787250858, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3554005442086116252, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3554005442086116252, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3554005442086116252, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5139503038035984964, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^8.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181582866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 41472, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.32.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '82944.be', 'subgroup_hash': 8564396581978868972, 'subgroup_order': 82944, 'subgroup_tex': 'A_4^2:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 181582867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6244906726387373120, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2700470310039694944, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8245348304959777898, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8258415135328999569, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7823763534076797409, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2444033721024641276, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7070799367178895115, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4909110665246959554, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6598278711028006982, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^5.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9007200295938265923, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^5.C_6^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7823763534076797409, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2444033721024641276, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2168318414488732273, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2168318414488732273, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73728.dn', 'subgroup_hash': 4736919180578103190, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^4.S_4^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 181582884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6244906726387373120, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.36.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2700470310039694944, 'subgroup_order': 73728, 'subgroup_tex': 'A_4^2.C_2^2.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.eg', 'subgroup_hash': 6742904606123442354, 'subgroup_order': 55296, 'subgroup_tex': 'S_4^3.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181582887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 914742117377090945, 'subgroup_order': 55296, 'subgroup_tex': '(C_3\\times A_4^2).C_2.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 181582893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 914742117377090945, 'subgroup_order': 55296, 'subgroup_tex': '(C_3\\times A_4^2).C_2.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 181582895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 254239451629656771, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1385056179236230709, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7485545103780811454, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1385056179236230709, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2563688312718086096, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2563688312718086096, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7485545103780811454, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6106732394484975999, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5934341774511623116, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6336688104502804871, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3038932897009478748, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6336688104502804871, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3038932897009478748, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7881502163075753074, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5934341774511623116, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7881502163075753074, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6106732394484975999, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5934341774511623116, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6106732394484975999, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329958600202117029, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 186225955688202496, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 186225955688202496, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2504431137544294070, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3242331531566947552, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2504431137544294070, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3242331531566947552, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4391693827558955030, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4391693827558955030, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4946105077088502457, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8517156498721271362, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6965010058589845466, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7437081689974817526, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1227897695253603007, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4946105077088502457, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1227897695253603007, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8517156498721271362, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6844137203773564021, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1227897695253603007, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1245969898286587485, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6409700395168058165, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 40121433353560217, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8517156498721271362, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7055627903659251513, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6844137203773564021, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1227897695253603007, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8517156498721271362, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7437081689974817526, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6965010058589845466, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6844137203773564021, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7055627903659251513, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6965010058589845466, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 40121433353560217, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6844137203773564021, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2558402710979425718, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2558402710979425718, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8547831798730986339, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3489100069225687938, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^2.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 186225955688202496, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3489100069225687938, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^2.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5451920714202916209, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 186225955688202496, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181582991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7069855880492821036, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6694001682652869319, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6694001682652869319, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181582995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181582996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6277335940864289896, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181582997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1090624674007531703, 'subgroup_order': 55296, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1090624674007531703, 'subgroup_order': 55296, 'subgroup_tex': 'A_4.C_2^5.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181582999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5757094167860912025, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4391693827558955030, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5757094167860912025, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4391693827558955030, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7485545103780811454, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2563688312718086096, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.cm', 'subgroup_hash': 5993207922598428749, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^9.(C_3\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 181583007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7485545103780811454, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 254239451629656771, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1707878313869751928, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1385056179236230709, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.ce', 'subgroup_hash': 7564907025641719663, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^7.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 181583012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.de', 'subgroup_hash': 1582037247200346233, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2:C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.ch', 'subgroup_hash': 2162372406034266560, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^5.A_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 181583014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.dg', 'subgroup_hash': 6909263005249813039, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2:C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 144881343416564189, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2563688312718086096, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1707878313869751928, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1385056179236230709, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 144881343416564189, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5153946408032958111, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.dk', 'subgroup_hash': 6576032543823423957, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^3.A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.dr', 'subgroup_hash': 1203312163802578705, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^5.A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181583026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.x', 'subgroup_hash': 1013502007099487078, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^4:A_4^2.C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 181583027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.v', 'subgroup_hash': 667435201924295439, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^2.A_4^3.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 181583029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8104654227755358164, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8104654227755358164, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8104654227755358164, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(C_2^4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(C_2^4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.go1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.gz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ha1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.he1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4991596256957284875, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ho1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ht1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.hz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ia1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ib1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ic1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.id1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ie1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.if1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ig1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ih1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ii1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ij1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ik1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.il1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.im1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5747129456202658559, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.in1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.io1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ip1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.iq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ir1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.is1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.it1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.iu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.iv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.iw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ix1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.iy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.iz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ja1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6634157424491331768, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6634157424491331768, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6634157424491331768, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.je1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6634157424491331768, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6634157424491331768, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6634157424491331768, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ji1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.S_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068496019578779874, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068496019578779874, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068496019578779874, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068496019578779874, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068496019578779874, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.js1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6068496019578779874, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8104654227755358164, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ju1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8104654227755358164, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8104654227755358164, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.jz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ka1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5371469447348045138, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ke1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ki1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082735359674036688, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.km1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ko1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ks1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ku1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ky1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.kz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7359442459041285255, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.la1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1351989637295619243, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ld1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.le1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(C_2^4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.C_2^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8720876428883744461, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(D_4\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.li1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7240365633533452811, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ll1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ln1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.bf', 'subgroup_hash': 5135345375241310869, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(C_2^5.D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 181583220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.bf', 'subgroup_hash': 5135345375241310869, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^2.(C_2^5.D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 181583222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.lr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.48.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.ls1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3351312079041484593, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^6.C_3^2.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 41472, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7369861352873843110, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^8.C_3^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 41472, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_8', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4771581563444804662, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^8.C_3^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 41472, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4771581563444804662, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^8.C_3^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ep', 'subgroup_hash': 1433341425396768767, 'subgroup_order': 41472, 'subgroup_tex': '(C_2^3\\times D_6^2).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ex', 'subgroup_hash': 1723502366241142754, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2:(C_6^2.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 181583230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.es', 'subgroup_hash': 8059378200161846285, 'subgroup_order': 41472, 'subgroup_tex': '(C_6\\times S_4^2).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 181583231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ew', 'subgroup_hash': 4460932367882488942, 'subgroup_order': 41472, 'subgroup_tex': 'C_2\\times (C_3^2\\times S_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 181583232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1481312512630261907, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.em', 'subgroup_hash': 4843198966148309762, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2:(C_6^2.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 181583234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ev', 'subgroup_hash': 2994093342656616525, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1481312512630261907, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^4.C_3^4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 181583236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3602089964708213771, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.(S_3\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3602089964708213771, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.(C_6\\times A_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7161184346300355503, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2135686783811380005, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4439013676662608526, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2135686783811380005, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4439013676662608526, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4855570144562206892, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2135686783811380005, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4855570144562206892, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7601890305204076893, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4).A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7601890305204076893, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4).A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2637827971855932381, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2637827971855932381, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.C_2^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8730267186299533418, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 195613363389542002, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8730267186299533418, 'subgroup_order': 41472, 'subgroup_tex': '(C_3\\times A_4^2).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1153194526483915630, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1345343710909627729, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4088140885766866568, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 195613363389542002, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1345343710909627729, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4088140885766866568, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ly', 'subgroup_hash': 2775748477260116355, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ly', 'subgroup_hash': 2775748477260116355, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ly', 'subgroup_hash': 2775748477260116355, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mc', 'subgroup_hash': 7589112774442116503, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kl', 'subgroup_hash': 7465172151326195857, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times A_4).S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.lx', 'subgroup_hash': 6938508643576608392, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.ku', 'subgroup_hash': 21463917587648135, 'subgroup_order': 41472, 'subgroup_tex': 'S_3\\times A_4\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 181583299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mb', 'subgroup_hash': 2530406400755316394, 'subgroup_order': 41472, 'subgroup_tex': 'C_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mb', 'subgroup_hash': 2530406400755316394, 'subgroup_order': 41472, 'subgroup_tex': 'C_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.mb', 'subgroup_hash': 2530406400755316394, 'subgroup_order': 41472, 'subgroup_tex': 'C_3\\times S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kv', 'subgroup_hash': 5220285210977563154, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kv', 'subgroup_hash': 5220285210977563154, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kv', 'subgroup_hash': 5220285210977563154, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kv', 'subgroup_hash': 5220285210977563154, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kv', 'subgroup_hash': 5220285210977563154, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.kv', 'subgroup_hash': 5220285210977563154, 'subgroup_order': 41472, 'subgroup_tex': 'C_3.S_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 181583309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3126190579262189237, 'subgroup_order': 41472, 'subgroup_tex': 'A_4.C_2^6.C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6840666874842502994, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^2.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 20736, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.64.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3321461183479642478, 'subgroup_order': 41472, 'subgroup_tex': 'C_2^6.C_3^3.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 181583315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 512, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '2654208.dk.81.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2818964990404239116, 'subgroup_order': 32768, 'subgroup_tex': 'C_2^7.C_2^4.C_2^3.C_2', 'supersolvable': True, 'sylow': 2}
  • id: 181583317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 20736, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.128.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_8', 'simple': False, 'solvable': True, 'special_labels': ['L4', 'D2', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 808652458051812555, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^8.C_3^4', 'supersolvable': False, 'sylow': 0}
  • id: 181583318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.256.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '256.a1.M', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10368.eu', 'subgroup_hash': 482696499909120216, 'subgroup_order': 10368, 'subgroup_tex': 'S_3^4:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 181583319
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 512, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.5184.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5184.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 291438205453296458, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5184, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^4.C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.10494213', 'subgroup_hash': 1718285292446712970, 'subgroup_order': 512, 'subgroup_tex': 'C_2^9', 'supersolvable': True, 'sylow': 0}
  • id: 181583320
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2654208.dk.10368.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '10368.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10368.eu', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 482696499909120216, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 10368, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^4:C_8', 'simple': False, 'solvable': True, 'special_labels': ['D3', 'C8'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 181583321
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '2654208.dk.32768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': 15, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 3}
  • id: 181583322
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': True, 'central_factor': False, 'centralizer_order': 2654208, 'characteristic': True, 'core_order': 2, 'counter': 575, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2654208.dk.1327104.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1327104.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1327104.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2613658188172531004, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1327104, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2.S_4\\wr C_2.C_2', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 181583323
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2654208.dk', 'ambient_counter': 89, 'ambient_order': 2654208, 'ambient_tex': 'C_2^8.S_3^4:C_8', 'central': True, 'central_factor': False, 'centralizer_order': 2654208, 'characteristic': True, 'core_order': 1, 'counter': 576, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '2654208.dk.2654208.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2654208.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '2654208.dk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3477110754578726047, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2654208, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8.S_3^4:C_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D4', 'C9'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 181582794
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [23, 2503, 10, 270], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 79911221362665603286446, 158138630537882803216, 174988801, 51212587272118639920, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582795
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': [20, -1, 87, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': '663552.f'}
  • id: 181582796
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [623, -1, 1510, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bc1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582797
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1226, -1, 1842, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 51092451402326611223, 39921840, 39921847, 378466211906244302808544, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.24.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '24.bd1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BD', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181582798
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [877, -1, 1650, -1], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '24.be1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BE', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181582799
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1160, -1, 1805, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51214449406819507207, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727, 757324042675902], 'label': '2654208.dk.24.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BF', 'old_label': '24.bf1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BF', 'subgroup_fusion': None, 'weyl_group': '55296.e'}
  • id: 181582800
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '24T22669', 'count': 24, 'diagramx': [225, -1, 1290, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582801
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '24T22667', 'count': 24, 'diagramx': [157, -1, 1252, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582802
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '24T22665', 'count': 48, 'diagramx': [88, -1, 1214, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582803
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '24T22674', 'count': 48, 'diagramx': [123, -1, 1233, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582804
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '24T22672', 'count': 24, 'diagramx': [260, -1, 1309, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.24.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582805
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '24T22670', 'count': 24, 'diagramx': [191, -1, 1271, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582806
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': [151, -1, 160, -1], 'generators': [51090942177936465841, 40279680, 432260108564719103832534, 51212587272118640617, 174550320, 158260275638292441601, 486641096891285004345888, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.4.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '4.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.G', 'subgroup_fusion': None, 'weyl_group': '663552.e'}
  • id: 181582807
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [363, -1, 1365, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582808
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [397, -1, 1384, -1], 'generators': [40279680, 158140139762146752006, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582809
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [328, -1, 1346, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bo1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582810
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [294, -1, 1328, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.24.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582811
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [54, -1, 1195, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.bq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582812
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [20, -1, 1176, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 51090942178151366400, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.br1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582813
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 1, 'diagramx': [1436, 5626, 2751, 7625], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582814
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 1, 'diagramx': [1110, 3765, 2571, 7236], 'generators': [107169333460355985847, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582815
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 1, 'diagramx': [1084, 1906, 2557, 6847], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582816
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1246, -1, 2646, -1], 'generators': [368622, 79911221005670540734080, 40279680, 107169690461724581056, 174550320, 26010156879954837676800, 378466212261925463962030, 51212587272118639920, 1862134701603545, 25903107681056686080000, 39921840, 51212587272293260927, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '32.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181582817
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': [178, 2086, 304, 3765], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582818
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [674, -1, 2330, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 107049554591719622527, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.E', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582819
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1023, -1, 2523, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 107049197596617158406, 174550320, 25959064782932351446457, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 1862134701603545], 'label': '2654208.dk.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.F', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582820
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [994, -1, 2507, -1], 'generators': [40279680, 51212587272158552256, 25903229326163321937967, 174550320, 26010156878653263684607, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.G', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582821
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [793, -1, 2396, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 51092807095982095936, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.H', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582822
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [822, -1, 2412, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 51091299173039287807, 158138987533025189177], 'label': '2654208.dk.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.I', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582823
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [704, -1, 2346, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.J', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582824
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [733, -1, 2362, -1], 'generators': [40279680, 51212587272158552256, 25903109190287264503807, 25903229326163321937967, 174550320, 25852138383985560460927, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.K', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582825
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [639, -1, 2311, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 79962190304055702451200, 25852139891740332979504, 25852138739679214771326], 'label': '2654208.dk.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.L', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582826
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [600, -1, 2289, -1], 'generators': [40279680, 51212587272158552256, 25903229326163321937967, 174550320, 25852138383985560460927, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.M', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582827
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [46, -1, 1983, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51091299173039287807, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.N', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582828
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 1, 'diagramx': [599, 8883, 536, 5185], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582829
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [17, -1, 1967, -1], 'generators': [79911221005670540734080, 40279680, 107049554591766801966, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.o1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.O', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582830
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [763, -1, 2379, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.p1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582831
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1277, -1, 2663, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.q1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Q', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582832
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1306, -1, 2679, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.r1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582833
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1054, -1, 2540, -1], 'generators': [51090942177936465841, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.s1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582834
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [850, -1, 2427, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '32.t1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.T', 'subgroup_fusion': None, 'weyl_group': '331776.f'}
  • id: 181582835
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '32T2658485', 'count': 32, 'diagramx': [163, -1, 2048, -1], 'generators': [40279680, 79911221005670540734080, 158140139762146752006, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.u1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.U', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582836
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '32T2658486', 'count': 32, 'diagramx': [192, -1, 2064, -1], 'generators': [40279680, 51212587272158552256, 174550320, 25852138383985560460927, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 25959065936475414320047, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.v1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.V', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582837
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '32T2658479', 'count': 64, 'diagramx': [221, -1, 2080, -1], 'generators': [51212942965773388807, 355693655116800, 355693655116807, 158140139762146752006, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 79962190304055702451200, 25852139891740332979504, 25852138739679214771326], 'label': '2654208.dk.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.w1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.W', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582838
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '32T2658484', 'count': 64, 'diagramx': [133, -1, 2032, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 107169333460355985840, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 158138987533025189177], 'label': '2654208.dk.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.x1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.X', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582839
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 1, 'diagramx': [210, 4352, 321, 4238], 'generators': [51090942177936465841, 40279680, 432260108564719103832534, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582840
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '32T2658480', 'count': 32, 'diagramx': [104, -1, 2016, -1], 'generators': [79911221005670540734080, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 158260632633435185407], 'label': '2654208.dk.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.y1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Y', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582841
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': '32T2658478', 'count': 32, 'diagramx': [75, -1, 1999, -1], 'generators': [79911221005670540734080, 40279680, 107049554591766801966, 51212587272118640617, 174550320, 1507754987787191, 51091299173214276606, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '32.z1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Z', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582842
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [356, -1, 2154, -1], 'generators': [40279680, 158138630537795712017, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.ba1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582843
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [288, -1, 2116, -1], 'generators': [40279680, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582844
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 16, 'diagramx': [254, -1, 2098, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582845
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 16, 'diagramx': [322, -1, 2135, -1], 'generators': [51090942171796531217, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582846
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 8, 'diagramx': [386, -1, 2171, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.be1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582847
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 8, 'diagramx': [412, -1, 2185, -1], 'generators': [40279680, 107049197590524403223, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582848
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [935, -1, 2474, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582849
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [877, -1, 2442, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.bh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BH', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582850
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 2, 'diagramx': [345, 6618, 396, 4712], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582851
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [964, -1, 2490, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 158260275638117452800, 355693655484727, 107047688359946347457], 'label': '2654208.dk.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582852
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [906, -1, 2458, -1], 'generators': [51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582853
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 2, 'diagramx': [1163, -1, 2600, -1], 'generators': [40279680, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.bk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BK', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582854
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1338, -1, 2697, -1], 'generators': [51090942171796531217, 40279680, 1509236844197062, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582855
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [490, -1, 2228, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582856
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [568, -1, 2272, -1], 'generators': [324407128531338886123751, 40279680, 1509236844197062, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.K', 'old_label': '32.bn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BN', 'subgroup_fusion': None, 'weyl_group': '165888.bj'}
  • id: 181582857
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1406, -1, 2734, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bo1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582858
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1372, -1, 2715, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582859
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [438, -1, 2199, -1], 'generators': [40279680, 1509237019185863, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.bq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BQ', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582860
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': [1216, -1, 2629, -1], 'generators': [51090942171796531217, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.br1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582861
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [568, -1, 519, -1], 'generators': [51090942177936465841, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582862
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [516, -1, 2243, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.32.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bs1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582863
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 2, 'diagramx': [1137, -1, 2586, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.32.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.bt1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BT', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582864
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [464, -1, 2214, -1], 'generators': [51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '32.bu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582865
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 2, 'diagramx': [1190, -1, 2614, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.32.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '32.bv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BV', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582866
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': [542, -1, 2257, -1], 'generators': [40279680, 107049197590524403223, 51212587272118640617, 174550320, 324407128531338838944310, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.32.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.G', 'old_label': '32.bw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BW', 'subgroup_fusion': None, 'weyl_group': '331776.a'}
  • id: 181582867
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [469, -1, 3016, -1], 'generators': [51090942177936465841, 51212942965773388807, 26010156878653262878206, 25852138739679080868606, 378415242966168065110624, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 39921840, 39921847, 25959064427251016100622, 25903107681056726360263, 757324042675902], 'label': '2654208.dk.36.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582868
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [299, -1, 2922, -1], 'generators': [51090942177936465841, 51212942965773388807, 26010156878653262878206, 25852138739679080868606, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 39921840, 25959064427251016100622, 39921847, 378466211906244302808544, 25903107681056726360263, 757324042675902], 'label': '2654208.dk.36.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582869
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [19, -1, 2767, -1], 'generators': [51090942177936465841, 51212942965773388807, 25852138383985600382760, 26010156878653262878206, 25852138739679080868606, 378415242966168065110624, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 39921840, 39921847, 25959064427251016100622, 25903107681056726360263, 757324042675902], 'label': '2654208.dk.36.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.c1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582870
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [367, -1, 2959, -1], 'generators': [51090942177936465841, 51212942965773388807, 25852138383985600382760, 26010156878653262878206, 25852138739679080868606, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 39921840, 39921847, 25959064427251016100622, 378466211906244302808544, 25903107681056726360263, 757324042675902], 'label': '2654208.dk.36.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582871
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [106, -1, 2816, -1], 'generators': [51090942177936465841, 51212942965773388807, 25852138739679080868606, 378415242966168065110624, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 39921840, 39921847, 107049197596616719927, 757324042675902, 25903107681056726360263], 'label': '2654208.dk.36.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582872
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [534, -1, 500, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '8.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181582873
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [231, -1, 2884, -1], 'generators': [51090942177936465841, 51212942965773388807, 25852138739679080868606, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 39921840, 39921847, 378466211906244302808544, 107049197596616719927, 757324042675902, 25903107681056726360263], 'label': '2654208.dk.36.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582874
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [503, -1, 3035, -1], 'generators': [51090942177936465841, 51212942965773388807, 25852138383985600382760, 25852138739679080868606, 378415242966168065110624, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 39921840, 39921847, 107049197596616719927, 757324042675902, 25903107681056726360263], 'label': '2654208.dk.36.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582875
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 18, 'diagramx': [333, -1, 2940, -1], 'generators': [51090942177936465841, 51212942965773388807, 25852138383985600382760, 25852138739679080868606, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 355693695038647, 39921840, 39921847, 378466211906244302808544, 107049197596616719927, 757324042675902, 25903107681056726360263], 'label': '2654208.dk.36.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582876
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [537, -1, 3053, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727, 757324042675902], 'label': '2654208.dk.36.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582877
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [401, -1, 2978, -1], 'generators': [51090942177936465841, 40279680, 432260108564719103832534, 107049197596617158406, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.36.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582878
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [77, -1, 2799, -1], 'generators': [51090942177936465841, 40279680, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.36.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582879
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [196, -1, 2865, -1], 'generators': [51090942177936465841, 158260275638118627121, 40279680, 324407251285340758985814, 107049197596617158406, 51212587272118640617, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727, 757324042675902], 'label': '2654208.dk.36.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582880
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 36, 'diagramx': [164, -1, 2848, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.36.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.M', 'old_label': '36.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582881
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [135, -1, 2832, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107049197596616719927, 757324042675902], 'label': '2654208.dk.36.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.N', 'subgroup_fusion': None, 'weyl_group': '18432.em'}
  • id: 181582882
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 36, 'diagramx': [49, -1, 2784, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 51092451402326611223, 133756209007959939610030, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.36.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.O', 'old_label': '36.o1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.O', 'subgroup_fusion': None, 'weyl_group': '36864.f'}
  • id: 181582883
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [52, -1, 234, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582884
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [435, -1, 2997, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727, 107049197596616719927, 757324042675902], 'label': '2654208.dk.36.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.p1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582885
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '36.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [265, -1, 2903, -1], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 51212587272118640617, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107049197596616719927, 757324042675902], 'label': '2654208.dk.36.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '36.q1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582886
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 48, 'diagramx': [5309, -1, 5993, -1], 'generators': [40279680, 51213344596289124784, 174550320, 1313941310766, 378415242966168065110624, 51090942177976377606, 25852138383985560460927, 51212587272118639920, 51092451402326611223, 39921840, 25903107682370627390766, 79911221362665642840361, 158260275638332363446, 355693655484727], 'label': '2654208.dk.48.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.A', 'old_label': '48.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582887
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4530, -1, 5563, -1], 'generators': [697, 40279680, 158261784868822889527, 25903229326163361849720, 174550320, 158260275638292441601, 368046, 1313901388921, 25959064427251190283022, 1862134701603545, 39921840, 51212587272333540481, 39921847, 355693655484727], 'label': '2654208.dk.48.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.B', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582888
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 48, 'diagramx': [4355, -1, 5466, -1], 'generators': [697, 40279680, 25903229326163361849720, 174550320, 158260275638292441601, 368046, 107049197596664337847, 1313901388921, 25959064427251190283022, 1862134701603545, 39921840, 51212587272333540481, 39921847, 355693655484727], 'label': '2654208.dk.48.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.c1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.C', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582889
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4472, -1, 5531, -1], 'generators': [697, 26010277014523268643262, 40279680, 25903229326163361849720, 174550320, 158260275638292441601, 368046, 107049197596664337847, 1313901388921, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.D', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582890
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 48, 'diagramx': [4326, -1, 5450, -1], 'generators': [697, 40279680, 25903229326163361849720, 174550320, 158260275638292441601, 368046, 107049197596664337847, 1313901388921, 25959064427251190283022, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.E', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582891
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4442, -1, 5515, -1], 'generators': [697, 26010277014523268643262, 40279680, 25903229326163361849720, 174550320, 158260275638292441601, 368046, 107049197596664337847, 1313901388921, 1862134701603545, 39921840, 39921847, 51212587272333540481, 355693655484727], 'label': '2654208.dk.48.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.F', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582892
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 96, 'diagramx': [6913, -1, 6879, -1], 'generators': [40279680, 107049554591766801966, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.48.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.G', 'old_label': '48.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.G', 'subgroup_fusion': None, 'weyl_group': '13824.gs'}
  • id: 181582893
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 48, 'diagramx': [6945, -1, 6897, -1], 'generators': [51212942965773388807, 25903229681844563292847, 107049553277905692720, 355693655116800, 355693655116807, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 25852139891740332979504, 25852138739679214771326], 'label': '2654208.dk.48.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.H', 'old_label': '48.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.H', 'subgroup_fusion': None, 'weyl_group': '13824.gs'}
  • id: 181582894
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [81, -1, 250, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582895
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4559, -1, 5579, -1], 'generators': [697, 40279680, 158261784868822889527, 25903229326163361849720, 174550320, 158260275638292441601, 368046, 1313901388921, 25959064427251190283022, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.I', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582896
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3622, -1, 5062, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 158138631839330150542, 107049554591719622527, 51212587272118272126, 51090943479383813160, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.J', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582897
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1404, -1, 3837, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 107049554591719622527, 51212587272118272126, 51090943479383813160, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582898
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6780, -1, 6805, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582899
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7862, -1, 7403, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 174988801, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582900
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1375, -1, 3821, -1], 'generators': [79911221361364155939127, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 51212587272118272126, 51090943479383813160, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582901
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6431, -1, 6613, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.o1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582902
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6811, -1, 6823, -1], 'generators': [51212942965773388807, 133807179409841550413225, 51214452196525637041, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 25852138383985425393961, 39921840, 39921847, 158138986218909696023], 'label': '2654208.dk.48.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.p1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582903
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6492, -1, 6646, -1], 'generators': [51212942965773388807, 133807179409841550413225, 51214452196525637041, 158138630537708988736, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.q1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582904
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7830, -1, 7385, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.r1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582905
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': [89, 7192, 68, 1834], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 79911221362665603286446, 158138630537882803216, 174988801, 51212587272118639920, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181582906
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [499, -1, 481, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582907
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4178, -1, 5369, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.s1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.S', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582908
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6160, -1, 6463, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.t1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582909
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3292, -1, 4880, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.u1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582910
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6262, -1, 6520, -1], 'generators': [79911221361364155939127, 40279680, 51212587272118640617, 1314076377720, 174550320, 158260275638292441601, 51212587272118272126, 51090943479383813160, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.v1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582911
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4208, -1, 5385, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 26010156878653263684607, 174550320, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.w1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.W', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582912
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5243, -1, 5956, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 26010156878653263684607, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.x1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.X', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582913
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [83, -1, 3107, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.y1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.Y', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582914
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4032, -1, 5288, -1], 'generators': [355693870385286, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 51091297859137898886, 158260631319533796486, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.z1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.Z', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582915
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6194, -1, 6482, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 26010156878653263684607, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ba1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582916
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [5208, -1, 5938, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 26010156878653263684607, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bb1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BB', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582917
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [147, -1, 286, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '8.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181582918
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [117, -1, 3126, -1], 'generators': [51212942965773388807, 355693870385286, 133807179409841550413225, 51214452196525637041, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 25852138383985425393961, 39921840, 39921847, 158138986218909696023], 'label': '2654208.dk.48.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bc1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BC', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582919
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6589, -1, 6700, -1], 'generators': [51212942965773388807, 355693870385286, 133807179409841550413225, 51214452196525637041, 158138630537708988736, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bd1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582920
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6297, -1, 6539, -1], 'generators': [25852138383985600382760, 40279680, 25903109190287264503807, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.be1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582921
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6125, -1, 6444, -1], 'generators': [25852138383985600382760, 40279680, 25903109190287264503807, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bf1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582922
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6228, -1, 6501, -1], 'generators': [40279680, 51212588586019660807, 107049197596617158406, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bg1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582923
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6555, -1, 6682, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bh1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582924
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3358, -1, 4916, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bi1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582925
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6057, -1, 6407, -1], 'generators': [79911221361364155939127, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 51212587272118272126, 174988801, 51090943479383813160, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 51092808397429075337], 'label': '2654208.dk.48.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bj1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582926
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3945, -1, 5240, -1], 'generators': [355693870385286, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 158260275638292441601, 51091297859137898886, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bk1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BK', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582927
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6331, -1, 6558, -1], 'generators': [40279680, 25903109190287264503807, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bl1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582928
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [20, -1, 216, -1], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181582929
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3324, -1, 4898, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bm1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582930
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6091, -1, 6425, -1], 'generators': [40279680, 25903109190287264503807, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bn1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582931
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9409, -1, 8257, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bo1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582932
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2925, -1, 4677, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bp1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582933
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [207, -1, 3176, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bq1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BQ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582934
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9441, -1, 8274, -1], 'generators': [51212942965773388807, 51214096502910799926, 133807179409841550413225, 158138630537708988736, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.br1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582935
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [237, -1, 3192, -1], 'generators': [51212942965773388807, 51214096502910799926, 133807179409841550413225, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 25852138383985425393961, 39921840, 39921847, 158138986218909696023], 'label': '2654208.dk.48.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bs1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BS', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582936
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2962, -1, 4697, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bt1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582937
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2997, -1, 4717, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bu1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582938
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4591, -1, 5597, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51090943479383813160, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 51092808397429075337], 'label': '2654208.dk.48.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bv1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BV', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582939
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [464, -1, 462, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': '331776.cg'}
  • id: 181582940
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2220, -1, 4287, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bw1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BW', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582941
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4003, -1, 5272, -1], 'generators': [40279680, 79911221006984442123001, 51212587272118640617, 174550320, 51091297859137898886, 158260631319533796486, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bx1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BX', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582942
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3768, -1, 5143, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51090943479383813160, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.by1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BY', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582943
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4625, -1, 5616, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.bz1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.BZ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582944
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2189, -1, 4270, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ca1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CA', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582945
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3827, -1, 5175, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cb1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CB', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582946
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3974, -1, 5256, -1], 'generators': [40279680, 79911221006984442123001, 51212587272118640617, 174550320, 158260275638292441601, 51091297859137898886, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cc1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CC', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582947
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8044, -1, 7503, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cd1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CD', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582948
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8069, -1, 7517, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ce1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CE', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582949
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4149, -1, 5353, -1], 'generators': [158138986219123800263, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 51091297859137898886, 158260631319533796486, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cf1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CF', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181582950
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [113, -1, 268, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.F', 'old_label': '8.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': '331776.f'}
  • id: 181582951
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6844, -1, 6841, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cg1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582952
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9950, -1, 8556, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 26010156878653263684607, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ch1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582953
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9574, -1, 8348, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 26010156878653263684607, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ci1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582954
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9506, -1, 8311, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cj1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582955
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7624, -1, 7271, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ck1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582956
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4120, -1, 5337, -1], 'generators': [158138986219123800263, 355693870385286, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 51091297859137898886, 158260631319533796486, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cl1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CL', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582957
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6876, -1, 6858, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cm1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582958
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7590, -1, 7252, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 1314076377720, 174550320, 51212587272118272126, 51090943479383813160, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 51092808397429075337], 'label': '2654208.dk.48.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cn1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582959
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9984, -1, 8575, -1], 'generators': [40279680, 51212588586019660807, 107049197596617158406, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.co1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582960
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1539, -1, 3912, -1], 'generators': [40279680, 51212588586019660807, 107049197596617158406, 79962190659736943448247, 25903229326163361849720, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cp1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582961
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [279, -1, 359, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 486641096891285004345888, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 324514176575386126291504, 355693655484727], 'label': '2654208.dk.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.G', 'old_label': '8.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': '331776.a'}
  • id: 181582962
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7658, -1, 7291, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cq1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582963
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [19, -1, 3072, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158138631839330150542, 51212587272118272126, 51090943479383813160, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cr1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CR', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582964
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3393, -1, 4935, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cs1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CS', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582965
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2782, -1, 4598, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 51212587272118272126, 51090943479383813160, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ct1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582966
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9882, -1, 8518, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 1314076377720, 174550320, 51212587272118272126, 51090943479383813160, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cu1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582967
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6365, -1, 6576, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cv1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582968
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3886, -1, 5207, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cw1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CW', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181582969
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1470, -1, 3874, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.48.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cx1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582970
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7693, -1, 7310, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cy1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582971
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9916, -1, 8537, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.cz1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582972
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 8, 'diagramx': [245, -1, 340, -1], 'generators': [40279680, 432260108564719103832534, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '8.o1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': '331776.cf'}
  • id: 181582973
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9540, -1, 8329, -1], 'generators': [51212942965773388807, 355693870385286, 51214096502910799926, 133807179409841550413225, 158138630537708988736, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.da1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582974
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9608, -1, 8367, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.db1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582975
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1505, -1, 3893, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dc1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582976
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6399, -1, 6595, -1], 'generators': [51212942965773388807, 355693870385286, 51214096502910799926, 133807179409841550413225, 51212942965773389376, 133807177547707023360000, 51091297859137898886, 1313901388921, 51212587272118272126, 355693695038647, 25852138383985425393961, 39921840, 39921847, 158138986218909696023], 'label': '2654208.dk.48.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dd1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582977
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9642, -1, 8386, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 25903229326163361849720, 26010156878653263684607, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.de1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582978
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2748, -1, 4579, -1], 'generators': [79911221361364155939127, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049554591719622527, 51212587272118272126, 51090943479383813160, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.df1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582979
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1436, -1, 3855, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dg1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582980
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6974, -1, 6912, -1], 'generators': [51090942177936465841, 40279680, 158138630537795712017, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dh1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582981
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7006, -1, 6931, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.di1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582982
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6025, -1, 6389, -1], 'generators': [51090942177936465841, 40279680, 133807179409841550413225, 51212587272118640617, 133807177547707023360000, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dj1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582983
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 8, 'diagramx': [433, -1, 444, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.p1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582984
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6658, -1, 6738, -1], 'generators': [51090942177936465841, 40279680, 158138630537795712017, 51212587272118640617, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 158260275638244823681, 355693655484727], 'label': '2654208.dk.48.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.T', 'old_label': '48.dk1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582985
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2818, -1, 4618, -1], 'generators': [51090942177936465841, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dl1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582986
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [148, -1, 3144, -1], 'generators': [51090942177936465841, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.dm1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DM', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582987
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 48, 'diagramx': [6624, -1, 6719, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 158138630537795712017, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 133756208250635850572137, 355693655484727], 'label': '2654208.dk.48.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.dn1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582988
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2892, -1, 4659, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 158138630537795712017, 174550320, 51214449406819507207, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.do1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582989
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2858, -1, 4640, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 133807179409841550413225, 158138630537795712017, 51212587272118640617, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dp1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582990
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 8, 'diagramx': [178, -1, 3160, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.dq1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DQ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181582991
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 48, 'diagramx': [51, -1, 3090, -1], 'generators': [51090942177936465841, 40279680, 174550320, 158140139768460869062, 1313901388921, 79962190659736903527102, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.DR', 'old_label': '48.dr1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582992
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8228, -1, 7605, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.T', 'old_label': '48.ds1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582993
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 48, 'diagramx': [8199, -1, 7589, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.dt1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582994
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [404, -1, 428, -1], 'generators': [39921840, 51212587272118272126, 51212587272118640617, 1862134701603545, 1313901388921, 79911221362665603286446, 51214096502736249606, 158138630537882803216, 51212587272118639920, 107169333460355985840, 40279680, 174550320, 355693655484727, 174988801, 25852138383985425393961, 39921847], 'label': '2654208.dk.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.q1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582995
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9380, -1, 8241, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.du1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582996
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9350, -1, 8224, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dv1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582997
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8133, -1, 7552, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dw1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583324
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51090942171796531217, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.yB', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582998
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8167, -1, 7571, -1], 'generators': [51090942177936465841, 40279680, 133807179409841550413225, 51212587272118640617, 133807177547707023360000, 51090942171924708497, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.dx1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181582999
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [7040, -1, 6950, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '48.dy1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DY', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181583000
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [7992, -1, 7474, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.dz1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.DZ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583001
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 8, 'diagramx': [7075, -1, 6968, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '48.ea1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583002
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 8, 'diagramx': [8018, -1, 7489, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.eb1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EB', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583003
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7755, -1, 7344, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ec1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583004
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6460, -1, 6629, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ed1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583005
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [374, -1, 412, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.r1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583006
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [9473, -1, 8292, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BD', 'old_label': '48.ee1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EE', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 181583007
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7794, -1, 7366, -1], 'generators': [51090942177936465841, 40279680, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ef1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583008
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [3593, -1, 5046, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.eg1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EG', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583009
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1228, -1, 3739, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '48.eh1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583010
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1317, -1, 3789, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ei1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583011
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9319, -1, 8207, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.48.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '48.ej1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583012
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [7896, -1, 7422, -1], 'generators': [51090942177936465841, 40279680, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.48.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '48.ek1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EK', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181583013
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8099, -1, 7534, -1], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '48.el1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583014
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [5277, -1, 5975, -1], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '48.em1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EM', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181583015
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3233, -1, 4847, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 51092451402326611223, 39921840, 39921847, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '48.en1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583016
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': [55, 4757, 49, 1326], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 79911221362665603286446, 158138630537882803216, 51212587272118639920, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583017
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [313, -1, 378, -1], 'generators': [40279680, 378466211906244215717345, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '8.s1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': '331776.ch'}
  • id: 181583018
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6750, -1, 6789, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.eo1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583019
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6523, -1, 6664, -1], 'generators': [51090942177936465841, 40279680, 133807179409841550413225, 107049197596617158406, 51212587272118640617, 51090942171750168257, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ep1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583020
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1257, -1, 3756, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.eq1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583021
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1346, -1, 3805, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.er1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583022
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3262, -1, 4863, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158138630537708988736, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.es1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583023
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [6719, -1, 6772, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.et1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583024
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1287, -1, 3772, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158140139768460869062, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BD', 'old_label': '48.eu1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EU', 'subgroup_fusion': None, 'weyl_group': '55296.bg'}
  • id: 181583025
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8258, -1, 7622, -1], 'generators': [51090942177936465841, 40279680, 158140139768460869062, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 133756208250635850572137, 355693655484727], 'label': '2654208.dk.48.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BF', 'old_label': '48.ev1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EV', 'subgroup_fusion': None, 'weyl_group': '55296.e'}
  • id: 181583026
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7723, -1, 7326, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51213344596288767070, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727, 757324042675902], 'label': '2654208.dk.48.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BF', 'old_label': '48.ew1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EW', 'subgroup_fusion': None, 'weyl_group': '55296.e'}
  • id: 181583027
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 8, 'diagramx': [6689, -1, 6755, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51214449406819507207, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727, 757324042675902], 'label': '2654208.dk.48.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.M', 'old_label': '48.ex1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EX', 'subgroup_fusion': None, 'weyl_group': '165888.e'}
  • id: 181583028
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [52, -1, 573, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '12.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181583029
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4501, -1, 5547, -1], 'generators': [697, 40279680, 25852016738891243945640, 158261784868822889527, 174550320, 158260275638292441601, 368046, 1313901388921, 25959064427251190283022, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.ey1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EY', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181583030
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4413, -1, 5498, -1], 'generators': [697, 26010277014523268643262, 40279680, 25852016738891243945640, 174550320, 158260275638292441601, 368046, 107049197596664337847, 1313901388921, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.ez1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.EZ', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181583031
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4384, -1, 5482, -1], 'generators': [697, 40279680, 25852016738891243945640, 174550320, 158260275638292441601, 368046, 107049197596664337847, 1313901388921, 25959064427251190283022, 1862134701603545, 39921840, 51212587272333540481, 39921847, 355693655484727], 'label': '2654208.dk.48.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.K', 'old_label': '48.fa1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FA', 'subgroup_fusion': None, 'weyl_group': '13824.fn'}
  • id: 181583032
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3133, -1, 4791, -1], 'generators': [51090942177936465841, 79911221361364155939127, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583033
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3167, -1, 4810, -1], 'generators': [51090942177936465841, 79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 107049554591719622527, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583034
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3201, -1, 4829, -1], 'generators': [51090942177936465841, 79911221361364155939127, 158260276939739788920, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158138631839330150542, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583035
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [784, -1, 3494, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 26010156878653263684607, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fe1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583036
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [818, -1, 3513, -1], 'generators': [51090942177936465841, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ff1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583037
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [887, -1, 3551, -1], 'generators': [51090942177936465841, 40279680, 51212588586019660807, 107049197596617158406, 79962190659736943448247, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583038
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [749, -1, 3475, -1], 'generators': [51090942177936465841, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583039
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [18, -1, 554, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '12.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583040
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [852, -1, 3532, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 26010156878653263684607, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583041
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [955, -1, 3589, -1], 'generators': [51090942177936465841, 40279680, 51212588586019660807, 107049197596617158406, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583042
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [921, -1, 3570, -1], 'generators': [51090942177936465841, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 26010156878653263684607, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583043
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4866, -1, 5748, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583044
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4797, -1, 5710, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583045
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4832, -1, 5729, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583046
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4900, -1, 5767, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fo1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583047
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5071, -1, 5862, -1], 'generators': [51090942177936465841, 51212942965773388807, 133807179409841550413225, 51214452196525637041, 51212942965773389376, 133807177547707023360000, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 25852138383985425393961, 39921840, 158138986218909696023, 39921847], 'label': '2654208.dk.48.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583048
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5003, -1, 5824, -1], 'generators': [51090942177936465841, 51212942965773388807, 51214096502910799926, 133807179409841550413225, 158138630537708988736, 51212942965773389376, 133807177547707023360000, 1313901388921, 51212587272118272126, 355693695038647, 174988801, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583049
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5037, -1, 5843, -1], 'generators': [51090942177936465841, 51212942965773388807, 355693870385286, 133807179409841550413225, 51214452196525637041, 158138630537708988736, 51212942965773389376, 133807177547707023360000, 1313901388921, 51212587272118272126, 355693695038647, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583050
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': [309, 2086, 752, 5659], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583051
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5105, -1, 5881, -1], 'generators': [51090942177936465841, 51212942965773388807, 355693870385286, 51214096502910799926, 133807179409841550413225, 51212942965773389376, 133807177547707023360000, 1313901388921, 51212587272118272126, 355693695038647, 25852138383985425393961, 39921840, 39921847, 158138986218909696023], 'label': '2654208.dk.48.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fs1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583052
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8565, -1, 7791, -1], 'generators': [51090942177936465841, 79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 51092808397429075337], 'label': '2654208.dk.48.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ft1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583053
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8496, -1, 7753, -1], 'generators': [51090942177936465841, 79911221361364155939127, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583054
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8599, -1, 7810, -1], 'generators': [51090942177936465841, 79911221361364155939127, 40279680, 51212587272118640617, 1314076377720, 174550320, 158260275638292441601, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 51092808397429075337], 'label': '2654208.dk.48.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583055
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8530, -1, 7772, -1], 'generators': [51090942177936465841, 79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 1314076377720, 174550320, 51212587272118272126, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583056
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8770, -1, 7904, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583057
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8838, -1, 7942, -1], 'generators': [51090942177936465841, 40279680, 25903109190287264503807, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fy1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583058
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8804, -1, 7923, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 25903109190287264503807, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.fz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583059
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8873, -1, 7961, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ga1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583060
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2538, -1, 4463, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583061
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 1, 'diagramx': [479, 5907, 847, 6458], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583062
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2569, -1, 4480, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583063
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2640, -1, 4519, -1], 'generators': [51090942177936465841, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583064
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2503, -1, 4444, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ge1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583065
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2604, -1, 4499, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583066
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2714, -1, 4560, -1], 'generators': [51090942177936465841, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 174988801, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583067
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2677, -1, 4540, -1], 'generators': [51090942177936465841, 25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583068
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3916, -1, 5224, -1], 'generators': [51090942177936465841, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GI', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583069
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4062, -1, 5304, -1], 'generators': [51090942177936465841, 355693870385286, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 158260631319533796486, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GJ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583070
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4091, -1, 5321, -1], 'generators': [51090942177936465841, 158138986219123800263, 40279680, 79911221006984442123001, 51212587272118640617, 174550320, 158260631319533796486, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.48.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GK', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583071
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2019, -1, 4177, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583072
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 1, 'diagramx': [453, 4058, 832, 6072], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583073
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1916, -1, 4120, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583074
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1814, -1, 4063, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583075
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1882, -1, 4101, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.go1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583076
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2157, -1, 4253, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.48.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583077
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1985, -1, 4158, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583078
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2054, -1, 4196, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583079
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1951, -1, 4139, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gs1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583080
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2123, -1, 4234, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 174988801, 51212587272118639920, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gt1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583081
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1848, -1, 4082, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583082
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2088, -1, 4215, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 1314076377720, 174550320, 158138631839330150542, 158140496757249216127, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583083
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [976, -1, 1121, -1], 'generators': [79911221005670540734080, 40279680, 107049554591766801966, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '16.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583084
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1745, -1, 4025, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583085
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7452, -1, 7177, -1], 'generators': [79911221361364155939127, 40279680, 51212587272118640617, 1314076377720, 174550320, 158260275638292441601, 158140496757249216127, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583086
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7246, -1, 7063, -1], 'generators': [25852138383985600382760, 40279680, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gy1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583087
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7315, -1, 7101, -1], 'generators': [25852138383985600382760, 40279680, 25903109190287264503807, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.gz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583088
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7521, -1, 7214, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ha1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583089
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7383, -1, 7138, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583090
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7280, -1, 7082, -1], 'generators': [40279680, 25903109190287264503807, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583091
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7349, -1, 7119, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583092
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7178, -1, 7025, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.he1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583093
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7417, -1, 7158, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583094
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [98, -1, 636, -1], 'generators': [51090942177936465841, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583095
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7109, -1, 6987, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583096
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7486, -1, 7196, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 158140139762146752006, 51212587272118640617, 1314076377720, 174550320, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583097
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7212, -1, 7044, -1], 'generators': [40279680, 51212587272118640617, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583098
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7556, -1, 7233, -1], 'generators': [40279680, 51212588586019660807, 158140139762146752006, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583099
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7143, -1, 7006, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583100
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1196, -1, 3722, -1], 'generators': [40279680, 51212588586019660807, 158140139762146752006, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 174988801, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583101
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1126, -1, 3684, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 1314076377720, 174550320, 158140496757249216127, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583102
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [989, -1, 3608, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583103
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [543, -1, 3362, -1], 'generators': [40279680, 25903109190287264503807, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ho1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583104
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1092, -1, 3665, -1], 'generators': [79911221361364155939127, 40279680, 158140139762146752006, 51212587272118640617, 1314076377720, 174550320, 158260275638292441601, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583105
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 8, 'diagramx': [132, -1, 655, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583106
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1024, -1, 3627, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583107
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1058, -1, 3646, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583108
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1162, -1, 3703, -1], 'generators': [40279680, 51212588586019660807, 158140139762146752006, 79962190659736943448247, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hs1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583109
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [577, -1, 3381, -1], 'generators': [25852138383985600382760, 40279680, 25903109190287264503807, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ht1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583110
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [406, -1, 3286, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583111
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [611, -1, 3399, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583112
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [269, -1, 3210, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583113
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [440, -1, 3305, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583114
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [303, -1, 3229, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.48.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hy1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583115
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5993, -1, 6371, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 158140139762146752006, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.hz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583116
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [426, -1, 817, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583117
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5925, -1, 6334, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 158140496757249216127, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ia1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583118
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5788, -1, 6258, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ib1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583119
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5685, -1, 6201, -1], 'generators': [25852138383985600382760, 40279680, 25903109190287264503807, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ic1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583120
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5650, -1, 6182, -1], 'generators': [25852138383985600382760, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.id1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583121
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5582, -1, 6144, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.48.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ie1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583122
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5891, -1, 6314, -1], 'generators': [79911221361364155939127, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.if1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583123
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5822, -1, 6276, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ig1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583124
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5856, -1, 6295, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ih1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583125
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5959, -1, 6352, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 158140139762146752006, 79962190659736943448247, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ii1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583126
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5719, -1, 6220, -1], 'generators': [40279680, 25903109190287264503807, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ij1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583127
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': [21, 2322, 30, 817], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 486641096891285004345888, 107049197596664337847, 1313901388921, 51212587272118272126, 79911221362665603286446, 158138630537882803216, 51212587272118639920, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583128
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 2, 'diagramx': [558, -1, 890, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583129
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5616, -1, 6163, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ik1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583130
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5754, -1, 6239, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.il1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583131
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5547, -1, 6125, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.im1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583132
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9181, -1, 8131, -1], 'generators': [79911221361364155939127, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 158140496757249216127, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.in1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583133
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8907, -1, 7980, -1], 'generators': [40279680, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.io1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583134
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8976, -1, 8018, -1], 'generators': [40279680, 25903109190287264503807, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ip1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583135
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9249, -1, 8169, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 158260275638292441601, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.iq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583136
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9112, -1, 8094, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ir1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583137
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8941, -1, 7998, -1], 'generators': [25852138383985600382760, 40279680, 25903109190287264503807, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.is1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583138
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9215, -1, 8150, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.it1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583139
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [588, -1, 907, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583140
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8667, -1, 7847, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.iu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583141
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9284, -1, 8188, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 158140139762146752006, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.iv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583142
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8359, -1, 7678, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.iw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583143
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9078, -1, 8075, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ix1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583144
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8633, -1, 7829, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.iy1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583145
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.IZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9147, -1, 8112, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.iz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583146
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8325, -1, 7659, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ja1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583147
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9780, -1, 8462, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JB', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583148
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9745, -1, 8443, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JC', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583149
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9848, -1, 8499, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 25959064427251190283022, 51212587272118639920, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JD', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583150
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [782, -1, 1014, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583151
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9711, -1, 8424, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.je1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JE', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583152
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9814, -1, 8480, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 51212587272118640617, 174550320, 158138631839330150542, 158140496757249216127, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JF', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583153
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9676, -1, 8405, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JG', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583154
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4266, -1, 5418, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 158138631839330150542, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JH', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583155
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4295, -1, 5434, -1], 'generators': [25852138383985600382760, 40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ji1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JI', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583156
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4237, -1, 5401, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JJ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583157
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3856, -1, 5191, -1], 'generators': [40279680, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JK', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583158
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3798, -1, 5159, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JL', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583159
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3739, -1, 5127, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JM', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583160
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5479, -1, 6087, -1], 'generators': [79911221361364155939127, 158260276939739788920, 40279680, 158140139762146752006, 51212587272118640617, 1314076377720, 174550320, 158138631839330150542, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583161
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 2, 'diagramx': [367, -1, 785, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583162
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5513, -1, 6106, -1], 'generators': [40279680, 51212588586019660807, 79962190659736943448247, 174550320, 51214449406819507207, 25852138385299326782640, 174988801, 158138630537882803216, 51212587272118639920, 39921840, 39921847, 25959065936475414320047, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.48.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jo1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583163
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5445, -1, 6068, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583164
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5410, -1, 6049, -1], 'generators': [25852138383985600382760, 40279680, 26010277014517081977721, 51212587272118640617, 174550320, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583165
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5376, -1, 6030, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 25903230835387672171577, 1313901388921, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959065936475414320047, 355693655484727], 'label': '2654208.dk.48.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583166
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5342, -1, 6011, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.js1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583167
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [3098, -1, 4772, -1], 'generators': [51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jt1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583168
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3064, -1, 4754, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ju1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583169
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3030, -1, 4735, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583170
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [646, -1, 3418, -1], 'generators': [51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583171
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [680, -1, 3437, -1], 'generators': [40279680, 107047688359772522897, 133807179409841550413225, 107049197596617158406, 51212587272118640617, 51090942171750168257, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583172
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [816, -1, 1032, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '16.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181583173
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [715, -1, 3456, -1], 'generators': [51090942171796531217, 40279680, 107049197596617158406, 174550320, 51214449406819507207, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jy1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583174
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.JZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [474, -1, 3324, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.jz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583175
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [337, -1, 3248, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ka1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583176
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [509, -1, 3343, -1], 'generators': [40279680, 107049197596617158406, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583177
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [372, -1, 3267, -1], 'generators': [40279680, 107049197596617158406, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583178
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4969, -1, 5805, -1], 'generators': [40279680, 1509236844197062, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583179
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4934, -1, 5786, -1], 'generators': [40279680, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ke1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583180
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4762, -1, 5691, -1], 'generators': [107169333460355985847, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583181
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4659, -1, 5635, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583182
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [5174, -1, 5919, -1], 'generators': [51090942171796531217, 40279680, 158140139762146752006, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583183
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [944, -1, 1103, -1], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '16.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181583184
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [5139, -1, 5900, -1], 'generators': [158140139762099134086, 40279680, 133807179409841550413225, 51212587272118640617, 133807177547707023360000, 51090942171924708497, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ki1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583185
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [4728, -1, 5672, -1], 'generators': [40279680, 107047688359772522897, 133807179409841550413225, 51212587272118640617, 133807177547707023360000, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583186
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [4694, -1, 5654, -1], 'generators': [40279680, 51214096502910799926, 133807179409841550413225, 51212587272118640617, 158138630537708988736, 133807177547707023360000, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583187
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3442, -1, 4962, -1], 'generators': [40279680, 1509236844197062, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '48.kl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KL', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181583188
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8701, -1, 7866, -1], 'generators': [40279680, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.km1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583189
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3505, -1, 4997, -1], 'generators': [40279680, 1509236844197062, 158138630537795712017, 51212587272118640617, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 158260275638244823681, 355693655484727], 'label': '2654208.dk.48.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.T', 'old_label': '48.kn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583190
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8735, -1, 7885, -1], 'generators': [40279680, 1509236844197062, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ko1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583191
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3568, -1, 5032, -1], 'generators': [40279680, 107169333460355985847, 51213344596288767070, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.T', 'old_label': '48.kp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583192
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8462, -1, 7734, -1], 'generators': [107169333460355985847, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583193
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3421, -1, 4950, -1], 'generators': [40279680, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '48.kr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KR', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181583194
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 4, 'diagramx': [396, -1, 801, -1], 'generators': [51090942177936465841, 51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583195
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [8290, -1, 7640, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ks1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583196
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [3547, -1, 5020, -1], 'generators': [51090942171796531217, 40279680, 158140139762146752006, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.kt1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583197
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [9010, -1, 8037, -1], 'generators': [51090942171796531217, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ku1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583198
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [3484, -1, 4985, -1], 'generators': [51090942171796531217, 158140139762099134086, 40279680, 158138630537795712017, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 133756208250635850572137, 355693655484727], 'label': '2654208.dk.48.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.kv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583199
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [9044, -1, 8056, -1], 'generators': [51090942171796531217, 158140139762099134086, 40279680, 133807179409841550413225, 158138630537795712017, 51212587272118640617, 133807177547707023360000, 1313901388921, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.kw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583200
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [3463, -1, 4974, -1], 'generators': [40279680, 174550320, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 133756208250635850572137, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.kx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583201
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [8428, -1, 7715, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ky1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583202
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.KZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [3526, -1, 5009, -1], 'generators': [40279680, 174550320, 1313901388921, 51212587272118272126, 51090942178151366400, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 79911222869106428849584, 133756208250635850572137, 355693655484727], 'label': '2654208.dk.48.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '48.kz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583203
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [8393, -1, 7696, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.la1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583204
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2389, -1, 4381, -1], 'generators': [51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583205
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [338, -1, 768, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.o1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583206
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2429, -1, 4403, -1], 'generators': [40279680, 107047688359772522897, 133807179409841550413225, 51212587272118640617, 133807177547707023360000, 51090942171924708497, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583207
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2465, -1, 4423, -1], 'generators': [51090942171796531217, 40279680, 174550320, 51214449406819507207, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ld1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583208
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2319, -1, 4343, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.le1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583209
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 48, 'diagramx': [2250, -1, 4304, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583210
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2354, -1, 4362, -1], 'generators': [40279680, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583211
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [2283, -1, 4322, -1], 'generators': [40279680, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583212
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 16, 'diagramx': [3710, -1, 5110, -1], 'generators': [51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.li1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LI', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583213
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 8, 'diagramx': [3681, -1, 5094, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.48.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.lj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LJ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583214
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 8, 'diagramx': [3652, -1, 5078, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '48.lk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LK', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583215
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1676, -1, 3987, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ll1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583216
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [164, -1, 673, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '16.p1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': '663552.f'}
  • id: 181583217
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1711, -1, 4006, -1], 'generators': [40279680, 158140139762146752006, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583218
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1642, -1, 3968, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ln1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583219
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7962, -1, 7458, -1], 'generators': [158260275638118627121, 40279680, 432260108564719190923735, 1509236844197062, 51212587272118640617, 1313901388921, 51212587272118272126, 51212587272118639920, 79911221362665556913406, 25852138383985425393961, 39921840, 39921847, 79911222869106428849584, 355693655484727], 'label': '2654208.dk.48.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BE', 'old_label': '48.lo1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LO', 'subgroup_fusion': None, 'weyl_group': '55296.bf'}
  • id: 181583220
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1608, -1, 3949, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.48.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583221
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 24, 'diagramx': [7928, -1, 7440, -1], 'generators': [40279680, 107169333460355985847, 378466211906244215717345, 51213344596288767070, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.BE', 'old_label': '48.lq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LQ', 'subgroup_fusion': None, 'weyl_group': '55296.bf'}
  • id: 181583222
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1779, -1, 4044, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.lr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583223
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '48.LS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1573, -1, 3930, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.48.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '48.ls1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583224
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 1, 'diagramx': [256, 1906, 8724, 8013], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583225
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 1, 'diagramx': [2386, 3755, 9901, 8400], 'generators': [40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.B', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583226
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 1, 'diagramx': [2412, 5603, 9915, 8786], 'generators': [40279680, 107049197590524403223, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.C', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583227
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [645, -1, 938, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 324407128531338838944310, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.C', 'old_label': '16.q1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': '663552.e'}
  • id: 181583228
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [578, -1, 8903, -1], 'generators': [25903229681844563292847, 107047688366174169727, 355693655116800, 404267138058638771083751, 355693655116807, 174550320, 355693655116921, 25903231191081367568057, 1313901388921, 174988801, 1862134701603545, 355693655117383, 54059082978680217814446], 'label': '2654208.dk.64.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.D', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583229
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1593, -1, 9463, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 458163215890094549283414, 107049554591719622527, 51212587272118639920, 51092451402326611223, 25903107681056686080000, 39921840, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.E', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583230
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1482, -1, 9402, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 378466212261925463962030, 51212587272118639920, 51092451402326611223, 25903107681056686080000, 39921840, 51214093713164758631, 51212587272293260927, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.F', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583231
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1392, -1, 9352, -1], 'generators': [25903229681844563292847, 107047688366174169727, 355693655116800, 355693655116807, 107049197596617158406, 458112246594324695654689, 174550320, 355693655116921, 25903231191081367568057, 1313901388921, 79911221362665603286446, 1862134701603545, 355693655117383], 'label': '2654208.dk.64.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.G', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583232
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1656, -1, 9497, -1], 'generators': [368622, 79911221005670540734080, 40279680, 107169690461724581056, 174550320, 25903109188811633587625, 51212587272118639920, 158262141863885073840, 25903107681056686080000, 39921840, 51212587272293260927, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.H', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583233
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [2521, -1, 9975, -1], 'generators': [368622, 79911221005670540734080, 40279680, 107169690461724581056, 174550320, 26010156879954837676800, 378466212261925463962030, 51212587272118639920, 1862134701603545, 25903107681056686080000, 39921840, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.I', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583234
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [698, -1, 8968, -1], 'generators': [368622, 79911221005670540734080, 40279680, 107169690461724581056, 174550320, 378466212263239318181471, 25903109188811633587625, 51212587272118639920, 158262141863885073840, 25903107681056686080000, 39921840, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.D', 'old_label': '64.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.J', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 181583235
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 64, 'diagramx': [1685, -1, 9514, -1], 'generators': [697, 25903107681056686080121, 51212587272118272000, 51212587272118272007, 79962190302741801062521, 107049198898151964841, 25903107681056860262521, 107169690461684659337, 25903109543191387315630, 107048045361276633727, 51212587272118272126, 174988801, 25903229683158464681526], 'label': '2654208.dk.64.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '64.K', 'old_label': '64.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.K', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 181583236
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [183, -1, 8684, -1], 'generators': [40279680, 51212587272158552256, 25903229326163321937967, 174550320, 25959064427251063280063, 25852138385299326782640, 25959186072351559641727, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.L', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583237
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [222, -1, 8706, -1], 'generators': [697, 40279680, 54110295565952375998206, 25903229326163361849720, 174550320, 25959064427251063280063, 25903229326157182371263, 368046, 1313901388921, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.M', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583238
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': [86, 2086, 123, 2308], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583239
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.A', 'coset_action_label': None, 'count': 8, 'diagramx': [846, -1, 1049, -1], 'generators': [51090942177936465841, 40279680, 486641096891285139422929, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.M', 'old_label': '16.r1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': '165888.e'}
  • id: 181583240
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2553, -1, 9992, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 174550320, 51212942965773389376, 25852138739679040588926, 158140495449702223937, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.64.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.N', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583241
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1982, -1, 9678, -1], 'generators': [25903229681844563292847, 158260275638292441601, 1313901388921, 79962190304055702451200, 25852138739679040588926, 51212942965773388807, 355693655116800, 355693655116807, 25852139891740332979504, 25852138739679214771326, 158138630537795712017, 51212942965773389376, 51212587272118272126], 'label': '2654208.dk.64.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.o1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.O', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583242
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1097, -1, 9189, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 158138987532938097976, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.p1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.P', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583243
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [2021, -1, 9699, -1], 'generators': [40279680, 51212587272158552256, 25903229326163321937967, 174550320, 25959064427251063280063, 25903229326157182371263, 25852138385299326782640, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.q1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Q', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583244
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1126, -1, 9205, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 158138987532938097976, 51091299173039287807], 'label': '2654208.dk.64.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.r1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.R', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583245
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [2095, -1, 9740, -1], 'generators': [79911221005670540734080, 40279680, 158140496763563333176, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807], 'label': '2654208.dk.64.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.s1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.S', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583246
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [2061, -1, 9721, -1], 'generators': [25903229681844563292847, 1313901388921, 79962190304055702451200, 25852138739679040588926, 51212942965773388807, 355693655116800, 355693655116807, 25852139891740332979504, 25852138739679214771326, 158138630537795712017, 51212942965773389376, 51090942171796531217, 51212587272118272126], 'label': '2654208.dk.64.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.t1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.T', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583247
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2125, -1, 9756, -1], 'generators': [697, 40279680, 54110295565952375998206, 25903229326163361849720, 174550320, 368046, 1313901388921, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727, 25959065936481767980936], 'label': '2654208.dk.64.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.u1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.U', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583248
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [2444, -1, 9933, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.64.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.v1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.V', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583249
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [2484, -1, 9955, -1], 'generators': [39921840, 40279680, 25903229326163321937967, 174550320, 25852138383985560460927, 355693695396480, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25903229326157182371263, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.w1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.W', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583250
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 16, 'diagramx': [68, -1, 619, -1], 'generators': [51090942171796531217, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.s1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583251
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [728, -1, 8985, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.x1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.X', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583252
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [762, -1, 9004, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51091299173039287807], 'label': '2654208.dk.64.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.y1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Y', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583253
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1556, -1, 9443, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 51212587272118272126, 158138630537882803216, 79962190304055702451200, 25852139891740332979504, 25852138739679214771326], 'label': '2654208.dk.64.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.z1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.Z', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583254
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1424, -1, 9370, -1], 'generators': [51212942965773388807, 25903229681844563292847, 355693655116800, 355693655116807, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 1862134701603545, 51092807096157084737], 'label': '2654208.dk.64.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ba1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BA', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583255
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1517, -1, 9420, -1], 'generators': [40279680, 51212587272158552256, 25903229326163321937967, 174550320, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bb1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BB', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583256
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1068, -1, 9173, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51091299173039287807, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.64.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bc1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BC', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583257
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [609, -1, 8920, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 51092451402461688262, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bd1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BD', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583258
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 16, 'diagramx': [17, -1, 8592, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 51091299173039287807, 158260632633435185407], 'label': '2654208.dk.64.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.be1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BE', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583259
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [1453, -1, 9386, -1], 'generators': [39921840, 40279680, 25903229326163321937967, 174550320, 355693695396480, 26010156878653263684607, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25903229326157182371263, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bf1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BF', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583260
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [639, -1, 8936, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 107049554591719622527, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51091299173039287807], 'label': '2654208.dk.64.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bg1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BG', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583261
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [42, -1, 605, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.t1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583262
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 32, 'diagramx': [46, -1, 8609, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 51091299173039287807, 158138987533025189177], 'label': '2654208.dk.64.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bh1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BH', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583263
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1772, -1, 9562, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 107049554591719622527, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 107047688359946347457], 'label': '2654208.dk.64.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BI', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583264
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1743, -1, 9546, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 1507754987787191, 107049554591719622527, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 107047688359946347457, 158260632633435185407], 'label': '2654208.dk.64.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BJ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583265
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1714, -1, 9529, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 1507754987787191, 107049554591719622527, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.64.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bk1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BK', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583266
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [459, -1, 8837, -1], 'generators': [697, 40279680, 107049197596617158406, 174550320, 25903229326157182371263, 368046, 1313901388921, 79911221362665603286446, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.64.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BL', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583267
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [429, -1, 8820, -1], 'generators': [1313901388921, 174550320, 25852138739679040588926, 51212942965773388807, 355693655116800, 355693655116807, 107048044053641376022, 107049197596617158406, 79911221362665603286446, 25903229681850877399816, 51212942965773389376, 1862134701603545, 51212587272118272126], 'label': '2654208.dk.64.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BM', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583268
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [400, -1, 8804, -1], 'generators': [39921840, 40279680, 26010155369416672707263, 174550320, 355693695396480, 26010156878653263684607, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25903229326157182371263, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BN', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583269
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [371, -1, 8788, -1], 'generators': [51212942965773388807, 355693655116800, 107048044053641376022, 355693655116807, 107049197596617158406, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 1862134701603545], 'label': '2654208.dk.64.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bo1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BO', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583270
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [313, -1, 8755, -1], 'generators': [51212942965773388807, 355693655116800, 355693655116807, 107049197596617158406, 174550320, 25959064782932351446457, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 1862134701603545], 'label': '2654208.dk.64.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BP', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583271
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [342, -1, 8772, -1], 'generators': [39921840, 40279680, 26010155369416672707263, 174550320, 355693695396480, 26010156878653263684607, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25959186072351559641727, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BQ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583272
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [16, -1, 591, -1], 'generators': [40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.u1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583273
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [283, -1, 8740, -1], 'generators': [40279680, 51212587272158552256, 174550320, 26010156878653263684607, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.br1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BR', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583274
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2300, -1, 9853, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 1866231946661176, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987532938097976, 158260632633435185407], 'label': '2654208.dk.64.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bs1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BS', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583275
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2271, -1, 9837, -1], 'generators': [51212942965773388807, 355693655116800, 355693655116807, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545, 25852139893222189747336], 'label': '2654208.dk.64.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bt1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BT', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583276
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2241, -1, 9821, -1], 'generators': [51212942965773388807, 355693655116800, 355693655116807, 174550320, 51212942965773389376, 25852138739679040588926, 107169689154051382320, 1313901388921, 158140495449702223937, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.64.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BU', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583277
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [2358, -1, 9885, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987532938097976], 'label': '2654208.dk.64.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BV', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583278
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [2329, -1, 9869, -1], 'generators': [39921840, 40279680, 174550320, 25852138383985560460927, 355693695396480, 25959065936475414320047, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25903229326157182371263, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BW', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583279
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [2212, -1, 9805, -1], 'generators': [40279680, 79911221005670540734080, 158140496763563333176, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 107047688359946347457], 'label': '2654208.dk.64.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BX', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583280
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [2183, -1, 9789, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 158138987533025189177], 'label': '2654208.dk.64.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.by1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BY', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583281
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2154, -1, 9772, -1], 'generators': [51212942965773388807, 355693655116800, 355693655116807, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 51092807095982095936, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.64.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.bz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.BZ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583282
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1273, -1, 9286, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 1866231946661176, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158260632633435185407], 'label': '2654208.dk.64.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ca1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CA', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583283
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40279680, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.vB', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583284
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1302, -1, 9302, -1], 'generators': [158260275638292441601, 1313901388921, 79962190304055702451200, 25852138739679040588926, 51212942965773388807, 355693655116800, 355693655116807, 25852139891740332979504, 25852138739679214771326, 158138630537795712017, 25852139893222189747336, 51212942965773389376, 51212587272118272126], 'label': '2654208.dk.64.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CB', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583285
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1244, -1, 9270, -1], 'generators': [40279680, 107169333460355985847, 79911221005670540734080, 158140496763563333176, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.64.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CC', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583286
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1156, -1, 9222, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 158260632633435185407], 'label': '2654208.dk.64.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CD', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583287
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1332, -1, 9319, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847], 'label': '2654208.dk.64.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ce1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CE', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583288
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1361, -1, 9334, -1], 'generators': [40279680, 51212587272158552256, 174550320, 25959064427251063280063, 25903229326157182371263, 25852138385299326782640, 51212587272118639920, 51212944267221103920, 39921840, 25959065936475414320047, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CF', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583289
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1215, -1, 9254, -1], 'generators': [40279680, 51212587272158552256, 174550320, 26010155369416672707263, 25852138383985560460927, 25852138385299326782640, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480, 25959065936481728069183], 'label': '2654208.dk.64.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CG', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583290
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1186, -1, 9237, -1], 'generators': [40279680, 51212587272158552256, 25903109190287264503807, 174550320, 25852138383985560460927, 25852138385299326782640, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ch1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CH', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583291
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [1033, -1, 9154, -1], 'generators': [697, 40279680, 174550320, 25903229326157182371263, 368046, 1313901388921, 79911221362665603286446, 174988801, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.64.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ci1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CI', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583292
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [994, -1, 9132, -1], 'generators': [51212942965773388807, 355693655116800, 107048044053641376022, 355693655116807, 174550320, 51212942965773389376, 25903229681850877399816, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.64.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CJ', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583293
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [955, -1, 9111, -1], 'generators': [39921840, 40279680, 26010155369416672707263, 174550320, 25852138383985560460927, 355693695396480, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25903229326157182371263, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ck1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CK', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583294
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40279680, 1509236844197062, 158138630537795712017, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.vC', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583295
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [916, -1, 9089, -1], 'generators': [39921840, 40279680, 26010155369416672707263, 174550320, 25852138383985560460927, 355693695396480, 79962190659736903894320, 25852140246120087075424, 25852138385299326782640, 51212944267221103920, 25959186072351559641727, 51212587272158552256, 51212587272118639920], 'label': '2654208.dk.64.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cl1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CL', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583296
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [838, -1, 9045, -1], 'generators': [40279680, 51212587272158552256, 174550320, 25852138383985560460927, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cm1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CM', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583297
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [798, -1, 9024, -1], 'generators': [51212942965773388807, 355693655116800, 107048044053641376022, 355693655116807, 174550320, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 1862134701603545], 'label': '2654208.dk.64.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cn1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CN', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583298
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [877, -1, 9068, -1], 'generators': [51212942965773388807, 355693655116800, 355693655116807, 158260275638292441601, 51212942965773389376, 25852138739679040588926, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 79962190304055702451200, 25852139891740332979504, 25852138739679214771326], 'label': '2654208.dk.64.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.co1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CO', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583299
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [546, -1, 8885, -1], 'generators': [51090942171796531217, 79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 107047688359946347457], 'label': '2654208.dk.64.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cp1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CP', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583300
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [517, -1, 8869, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 107047688359946347457, 158260632633435185407], 'label': '2654208.dk.64.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cq1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CQ', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583301
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [488, -1, 8853, -1], 'generators': [79911221005670540734080, 40279680, 51212587272118640617, 174550320, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.64.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cr1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CR', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583302
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1831, -1, 9594, -1], 'generators': [40279680, 79911221005670540734080, 158140139762146752006, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.64.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cs1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CS', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583303
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1860, -1, 9611, -1], 'generators': [40279680, 51212587272158552256, 174550320, 25852138385299326782640, 25959186072351559641727, 158138630537882803216, 51212587272118639920, 51212944267221103920, 39921840, 25959065936475414320047, 79962190659736903894320, 25852140246120087075424, 355693695396480], 'label': '2654208.dk.64.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.ct1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CT', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583304
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1889, -1, 9626, -1], 'generators': [158260275638292441601, 1313901388921, 79962190304055702451200, 25852138739679040588926, 51212942965773388807, 355693655116800, 355693655116807, 25852139891740332979504, 25852138739679214771326, 158140139762146752006, 51212942965773389376, 158138630537882803216, 51212587272118272126], 'label': '2654208.dk.64.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cu1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CU', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583305
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [281, -1, 737, -1], 'generators': [107169333460355985847, 40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.w1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583306
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1802, -1, 9578, -1], 'generators': [40279680, 79911221005670540734080, 51212587272118640617, 174550320, 107169333460355985840, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 158138987533025189177], 'label': '2654208.dk.64.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cv1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CV', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583307
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1948, -1, 9659, -1], 'generators': [79911221005670540734080, 40279680, 158140139762146752006, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 158260632633435185407], 'label': '2654208.dk.64.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cw1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CW', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583308
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [1918, -1, 9643, -1], 'generators': [79911221005670540734080, 40279680, 107049554591766801966, 51212587272118640617, 174550320, 1507754987787191, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 158138987533025189177, 158260632633435185407], 'label': '2654208.dk.64.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.D', 'old_label': '64.cx1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CX', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583309
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [669, -1, 8952, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '64.cy1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583310
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 2, 'diagramx': [73, -1, 8624, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '64.cz1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.CZ', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583311
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 2, 'diagramx': [99, -1, 8638, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '64.da1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DA', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583312
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [150, -1, 8667, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.64.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '64.db1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583313
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 4, 'diagramx': [125, -1, 8652, -1], 'generators': [51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '64.dc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583314
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '64.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1626, -1, 9481, -1], 'generators': [40279680, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.64.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '64.dd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583315
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '81.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 81, 'diagramx': None, 'generators': [367920, 6442294734, 51090946269129048241, 6227026248, 4103821980847, 54003247524701108530128, 7, 1307889641929, 51212587272158193840, 51091301956692574495, 540486206535872780427576, 39921840, 458163337893665818141144, 126], 'label': '2654208.dk.81.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '81.a1', 'old_label': '81.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583316
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '32.C', 'coset_action_label': None, 'count': 4, 'diagramx': [194, -1, 689, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.x1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Y', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583317
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '128.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1327104.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1736, -1, 9137], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.128.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.a1.N', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.A', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583318
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '256.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 256, 'diagramx': None, 'generators': [25903229683158464681647, 583, 1507754987429470, 214104240, 158262141863924985600, 214910767, 158260632633434827567, 25959064784246292389063, 79962190302741840984240, 404318350645910849434030, 486692309478557297606808], 'label': '2654208.dk.256.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '256.A', 'old_label': '256.a1.M', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.A', 'subgroup_fusion': None, 'weyl_group': '5184.bw'}
  • id: 181583319
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '5184.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5184.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1308, -1, 9392], 'generators': [25852138383985425393961, 51212587272118639920, 39921847, 51212587272118272126, 51090942177936465841, 355693655484727, 39921840, 40279680, 1313901388921], 'label': '2654208.dk.5184.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5184.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '5184.a1.N', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5184.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583320
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '10368.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5184.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '10368.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1308, -1, 9585], 'generators': [25852138383985425393961, 51212587272118639920, 39921847, 51212587272118272126, 355693655484727, 39921840, 40279680, 1313901388921], 'label': '2654208.dk.10368.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10368.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '10368.a1.N', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10368.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583321
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '32768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 256, 'diagramx': None, 'generators': [757324042675200, 1862134527053383, 87897600, 107955282453922455552000], 'label': '2654208.dk.32768.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '256.A', 'old_label': '32768.a1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32768.a1', 'subgroup_fusion': None, 'weyl_group': '64.32'}
  • id: 181583322
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '1327104.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1117, -1, 9767], 'generators': [25903229683158464681647], 'label': '2654208.dk.1327104.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1327104.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1327104.a1.N', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1327104.A', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181583323
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '2654208.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2654208.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1117, -1, 9936], 'generators': [], 'label': '2654208.dk.2654208.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2654208.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2654208.a1.N', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2654208.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 181583325
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51090942171796531217, 40279680, 158140139762146752006, 158138630537795712017, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.yC', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583326
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': [185, 4352, 178, 2782], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583327
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 8, 'diagramx': [254, -1, 722, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.16.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.z1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583328
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '64.B', 'coset_action_label': None, 'count': 8, 'diagramx': [223, -1, 706, -1], 'generators': [40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 51090942178151366400, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.16.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.ba1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583329
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 4, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 16, 'diagramx': [748, -1, 995, -1], 'generators': [51090942171796531217, 40279680, 51212587272118640617, 174550320, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.16.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.bb1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583330
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [714, -1, 976, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727, 107047688359946347457], 'label': '2654208.dk.16.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.bc1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583331
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '128.A', 'coset_action_label': None, 'count': 8, 'diagramx': [679, -1, 957, -1], 'generators': [40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.bd1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583332
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': [531, -1, 875, -1], 'generators': [40279680, 158140139762146752006, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '16.be1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583333
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': [910, -1, 1085, -1], 'generators': [40279680, 432260108564719190923735, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '16.bf1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BH', 'subgroup_fusion': None, 'weyl_group': '331776.cf'}
  • id: 181583334
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 4, 'diagramx': [1008, -1, 1139, -1], 'generators': [40279680, 432260108564719103832534, 1509236844197062, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.E', 'old_label': '16.bg1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BI', 'subgroup_fusion': None, 'weyl_group': '331776.cf'}
  • id: 181583335
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 2, 'diagramx': [505, -1, 861, -1], 'generators': [40279680, 51212587272118640617, 174550320, 107169333460355985840, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.16.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.bh1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BJ', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583336
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.B', 'coset_action_label': None, 'count': 4, 'diagramx': [876, -1, 1066, -1], 'generators': [107169333460355985847, 40279680, 378466211906244215717345, 51212587272118640617, 174550320, 158140139768460869062, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.C', 'old_label': '16.bi1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BK', 'subgroup_fusion': None, 'weyl_group': '331776.ch'}
  • id: 181583337
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': [220, 6787, 197, 3291], 'generators': [51090942177936465841, 40279680, 378466211906244215717345, 51212587272118640617, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': '1327104.b'}
  • id: 181583338
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '16.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '64.C', 'coset_action_label': None, 'count': 8, 'diagramx': [615, -1, 922, -1], 'generators': [40279680, 107049197590524403223, 486692310231777733580033, 51212587272118640617, 174550320, 324407128531338838944310, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.16.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.N', 'old_label': '16.bj1', 'projective_image': '2654208.dk', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.BL', 'subgroup_fusion': None, 'weyl_group': '165888.f'}
  • id: 181583339
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 18, 'diagramx': [20, -1, 1157, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 158138630537708988736, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727, 107049197596616719927, 757324042675902], 'label': '2654208.dk.18.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '18.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583340
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [655, -1, 1527, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.a1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583341
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [775, -1, 1593, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.b1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583342
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [809, -1, 1612, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.c1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583343
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1009, -1, 1723, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.24.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583344
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [975, -1, 1704, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583345
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1295, -1, 1880, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 355693655484727], 'label': '2654208.dk.24.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.f1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583346
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1261, -1, 1861, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.g1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583347
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 24, 'diagramx': [460, -1, 1419, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.h1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583348
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': [54, -1, 106, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.d1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583349
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [494, -1, 1438, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.i1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583350
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1420, -1, 1949, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 1862134701603545, 39921840, 39921847, 26010156878653350775806, 25959186072351599563560, 355693655484727], 'label': '2654208.dk.24.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.j1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.J', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583351
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1129, -1, 1789, -1], 'generators': [40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 174988801, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.k1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.K', 'subgroup_fusion': None, 'weyl_group': '27648.ee'}
  • id: 181583352
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1327104.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1192, -1, 1823, -1], 'generators': [25852138383985600382760, 40279680, 51212587272118640617, 25903229326163361849720, 174550320, 158260275638292441601, 107049197596664337847, 1313901388921, 25959064427251190283022, 51212587272118272126, 51212587272118639920, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.l1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583353
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1357, -1, 1915, -1], 'generators': [51090942177936465841, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.m1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583354
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1041, -1, 1740, -1], 'generators': [51090942177936465841, 40279680, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.n1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583355
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1070, -1, 1756, -1], 'generators': [51090942177936465841, 40279680, 107049197596617158406, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.o1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583356
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [909, -1, 1667, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.p1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583357
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [941, -1, 1685, -1], 'generators': [51090942177936465841, 40279680, 51214096502910799926, 133807179409841550413225, 51212587272118640617, 158138630537708988736, 133807177547707023360000, 1313901388921, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.q1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583358
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [843, -1, 1631, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.24.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '24.r1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.R', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181583359
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': [117, -1, 141, -1], 'generators': [51090942177936465841, 40279680, 432260108564719103832534, 107049197596617158406, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 51092451402326611223, 1862134701603545, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.e1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': '663552.dt'}
  • id: 181583360
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [689, -1, 1546, -1], 'generators': [51090942177936465841, 40279680, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.24.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '24.s1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.S', 'subgroup_fusion': None, 'weyl_group': '331776.ce'}
  • id: 181583361
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [719, -1, 1562, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '24.t1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.T', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181583362
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [429, -1, 1402, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 51212587272118639920, 51092451402326611223, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.u1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583363
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [745, -1, 1576, -1], 'generators': [51090942177936465841, 40279680, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 51214096502736249606, 79911222869106428849584, 133756208250635850572137, 355693655484727], 'label': '2654208.dk.24.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.V', 'old_label': '24.v1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583364
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [526, -1, 1456, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 51214096502736249606, 355693655484727], 'label': '2654208.dk.24.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.w1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583365
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 24, 'diagramx': [558, -1, 1473, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.x1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583366
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [592, -1, 1492, -1], 'generators': [51090942177936465841, 40279680, 174550320, 51214449406819507207, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.B', 'old_label': '24.y1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 181583367
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1100, -1, 1773, -1], 'generators': [51090942177936465841, 40279680, 51212587272118640617, 174550320, 158260275638292441601, 1313901388921, 79911221362665603286446, 51212587272118272126, 174988801, 158138630537882803216, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 355693655484727], 'label': '2654208.dk.24.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '24.z1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Z', 'subgroup_fusion': None, 'weyl_group': '82944.gc'}
  • id: 181583368
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1327, -1, 1898, -1], 'generators': [51090942177936465841, 40279680, 51213344596288767070, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.24.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '24.ba1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BA', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}
  • id: 181583369
    {'ambient': '2654208.dk', 'aut_centralizer_order': None, 'aut_label': '24.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '5184.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1387, -1, 1931, -1], 'generators': [51090942177936465841, 40279680, 174550320, 158260275638292441601, 51092451402461688262, 1313901388921, 79911221362665603286446, 51212587272118272126, 51212587272118639920, 25852138383985425393961, 1862134701603545, 39921840, 39921847, 378466211906244302808544, 355693655484727], 'label': '2654208.dk.24.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.A', 'old_label': '24.bb1', 'projective_image': '1327104.b', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BB', 'subgroup_fusion': None, 'weyl_group': '110592.bx'}