Abstract group data - 704.293

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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': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [22, 10, 4, 10, 10, 10, 10, 10, 5], 'aut_gens': [[1, 2, 8], [353, 482, 360], [5, 226, 424], [533, 182, 12], [1, 646, 428], [5, 66, 152], [353, 450, 476], [1, 326, 632], [5, 326, 328], [1, 642, 200]], 'aut_group': None, 'aut_hash': 7247618788880966071, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 28160, 'aut_permdeg': 60, 'aut_perms': [7368812969445849114694403956298043094813066277627856987587702931893472911288094864, 362010967981253266980281754229373537834427462643815770038066303868355199024522183, 4883462697835807717572145005776571122681702082153495166491149977992238211293334104, 117601790385873722506281839518487530758426412784691270101265571803054533617975975, 401982028404340351493597093228045400244234651350086168123594649199111563593701799, 7366461865065217324436612026414221155224631737058582295165264743646473991962799480, 105847005786833117624886936344988214135281735891995502386574724353565912604748583, 284420015405112511948244751849546525040866503817727271856486708321785015383247992, 7093801382858535644437304214371785501846620624572007971255460391278533087228448], 'aut_phi_ratio': 88.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 2, 1], [4, 2, 1, 2], [4, 8, 1, 1], [4, 22, 2, 1], [4, 44, 1, 1], [4, 44, 2, 1], [4, 88, 1, 1], [8, 4, 2, 1], [8, 44, 2, 1], [11, 2, 5, 1], [22, 2, 5, 3], [22, 8, 10, 1], [44, 4, 5, 2], [44, 8, 10, 1], [88, 4, 20, 1]], 'aut_supersolvable': True, 'aut_tex': '(C_2^3\\times C_{11}:C_5).C_2^6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '440.42', 'autcentquo_hash': 42, 'autcentquo_nilpotent': False, 'autcentquo_order': 440, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times F_{11}', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 4, 2], [4, 2, 2], [4, 8, 1], [4, 22, 2], [4, 44, 3], [4, 88, 1], [8, 4, 2], [8, 44, 2], [11, 2, 5], [22, 2, 15], [22, 8, 10], [44, 4, 10], [44, 8, 10], [88, 4, 20]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '176.31', 'commutator_count': 1, 'commutator_label': '88.8', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '11.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 293, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 4, 1, 2], [4, 2, 1, 2], [4, 8, 1, 1], [4, 22, 1, 2], [4, 44, 1, 1], [4, 44, 2, 1], [4, 88, 1, 1], [8, 4, 2, 1], [8, 44, 2, 1], [11, 2, 5, 1], [22, 2, 5, 3], [22, 8, 5, 2], [44, 4, 5, 2], [44, 8, 10, 1], [88, 4, 20, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 4032, 'exponent': 88, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 11], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '88.11', 'hash': 293, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 44, 'inner_gen_orders': [2, 2, 44], 'inner_gens': [[1, 6, 188], [5, 2, 344], [533, 370, 8]], 'inner_hash': 31, 'inner_nilpotent': False, 'inner_order': 176, 'inner_split': None, 'inner_tex': 'D_4\\times D_{11}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 50], [4, 31]], 'label': '704.293', 'linC_count': 80, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 16, 'linQ_degree_count': 24, 'linQ_dim': 18, 'linQ_dim_count': 44, 'linR_count': 60, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(D4*C11):Q8', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 23, 'number_characteristic_subgroups': 37, 'number_conjugacy_classes': 89, 'number_divisions': 26, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 96, 'number_subgroup_classes': 108, 'number_subgroups': 752, 'old_label': None, 'order': 704, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 11], [4, 276], [8, 96], [11, 10], [22, 110], [44, 120], [88, 80]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 10, 'outer_gen_orders': [2, 2, 2, 2, 10], 'outer_gen_pows': [128, 192, 528, 0, 0], 'outer_gens': [[353, 482, 360], [5, 546, 360], [533, 182, 12], [357, 2, 524], [1, 134, 600]], 'outer_group': '160.238', 'outer_hash': 238, 'outer_nilpotent': True, 'outer_order': 160, 'outer_permdeg': 160, 'outer_perms': [2948236891483250009192636838682275794393415895702673311845389748683929424148159524599279465527355116592771959811613297655852223634083712774682291740112161705584332632531584919282738926503459701975914340278389934867493545341131863816379180864335563076839623011893241131653065638816780, 382781656917938675988046645740301302344600432112527432175201237555517043333796787162752675094563355818604127767411554209367625612491402823878789106367796180013592250236950044002979375570681685623770996329465631281169610314759873064903150864921779502285063115476786028336857064200623207, 9121147449683930644948364712731703382286792276954047691941070984673346034566679131261463978952464026200493485583645513068003733459160039066068906105076485420244196150932554185070691445203865652987222402519413867737430304479043763229976282386823841726313277880514084149755316225398803, 26911766278983199754950639837878697850492603856741807206123359115420589719025657625620201796677116216223528884923179798594999435781346434714931467757918778722467228888165356353187251154462998738123360822678674875621006258302662338418689087250834744212628345057052196760667088516302833, 177459831144776078271360209160314323734471331833894898269371728454467858484453240308298290300883427269613791344988694465745275530964347368835808754550875685486988697867756984734120091223993048714460305386623351182882584244534493442070670389321608652915498989815421941907193737178684814], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_{10}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 4], [4, 4], [10, 4], [20, 4], [40, 2]], 'representations': {'PC': {'code': 254705654960798282142286295528498256863950000009, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -2, 2, -2, -2, -11, 28, 85, 36, 5267, 4826, 80, 12884, 12051, 102, 14124, 124, 15693]}, 'Perm': {'d': 27, 'gens': [7201450402236847, 49067229952288029081600000, 437494803286797310549017600, 20734746792883200, 854437355420227261562880000, 1274404389162257141268480000, 4364893]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(D_4\\times C_{11}):Q_8', 'transitive_degree': 352, '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: 140187613
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 293, 'group_order': 704, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140187624
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 293, 'group_order': 704, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 356, 'size': 1}
  • id: 140187635
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 293, 'group_order': 704, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 352, 'size': 1}
  • id: 140187646
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 293, 'group_order': 704, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 4, 'size': 1}
  • id: 140187657
    {'aut_label': '2D', 'centralizer': '4.h1.a1', 'counter': 5, 'group_counter': 293, 'group_order': 704, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 265, 'size': 4}
  • id: 140187668
    {'aut_label': '2D', 'centralizer': '4.h1.a1', 'counter': 6, 'group_counter': 293, 'group_order': 704, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 89, 'size': 4}
  • id: 140187679
    {'aut_label': '4A', 'centralizer': '2.f1.a1', 'counter': 7, 'group_counter': 293, 'group_order': 704, 'label': '4A', 'order': 4, 'powers': [3, 7, 7], 'representative': 180, 'size': 2}
  • id: 140187690
    {'aut_label': '4B', 'centralizer': '2.f1.a1', 'counter': 8, 'group_counter': 293, 'group_order': 704, 'label': '4B', 'order': 4, 'powers': [3, 8, 8], 'representative': 176, 'size': 2}
  • id: 140187701
    {'aut_label': '4C', 'centralizer': '8.f1.a1', 'counter': 9, 'group_counter': 293, 'group_order': 704, 'label': '4C', 'order': 4, 'powers': [4, 9, 9], 'representative': 5, 'size': 8}
  • id: 140187614
    {'aut_label': '4D', 'centralizer': '22.b1.a1', 'counter': 10, 'group_counter': 293, 'group_order': 704, 'label': '4D', 'order': 4, 'powers': [2, 10, 10], 'representative': 19, 'size': 22}
  • id: 140187615
    {'aut_label': '4D', 'centralizer': '22.b1.a1', 'counter': 11, 'group_counter': 293, 'group_order': 704, 'label': '4E', 'order': 4, 'powers': [2, 11, 11], 'representative': 51, 'size': 22}
  • id: 140187616
    {'aut_label': '4F', 'centralizer': '44.f1.a1', 'counter': 12, 'group_counter': 293, 'group_order': 704, 'label': '4F', 'order': 4, 'powers': [4, 12, 12], 'representative': 163, 'size': 44}
  • id: 140187617
    {'aut_label': '4G1', 'centralizer': '44.d1.a1', 'counter': 13, 'group_counter': 293, 'group_order': 704, 'label': '4G1', 'order': 4, 'powers': [2, 13, 14], 'representative': 170, 'size': 44}
  • id: 140187618
    {'aut_label': '4G1', 'centralizer': '44.d1.a1', 'counter': 14, 'group_counter': 293, 'group_order': 704, 'label': '4G-1', 'order': 4, 'powers': [2, 14, 13], 'representative': 526, 'size': 44}
  • id: 140187619
    {'aut_label': '4H', 'centralizer': '88.h1.a1', 'counter': 15, 'group_counter': 293, 'group_order': 704, 'label': '4H', 'order': 4, 'powers': [4, 15, 15], 'representative': 134, 'size': 88}
  • id: 140187620
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 16, 'group_counter': 293, 'group_order': 704, 'label': '8A1', 'order': 8, 'powers': [8, 17, 16], 'representative': 88, 'size': 4}
  • id: 140187621
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 17, 'group_counter': 293, 'group_order': 704, 'label': '8A-1', 'order': 8, 'powers': [8, 16, 17], 'representative': 616, 'size': 4}
  • id: 140187622
    {'aut_label': '8B1', 'centralizer': '44.i1.a1', 'counter': 18, 'group_counter': 293, 'group_order': 704, 'label': '8B1', 'order': 8, 'powers': [8, 19, 18], 'representative': 315, 'size': 44}
  • id: 140187623
    {'aut_label': '8B1', 'centralizer': '44.i1.a1', 'counter': 19, 'group_counter': 293, 'group_order': 704, 'label': '8B-1', 'order': 8, 'powers': [8, 18, 19], 'representative': 491, 'size': 44}
  • id: 140187625
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 293, 'group_order': 704, 'label': '11A1', 'order': 11, 'powers': [21, 24, 1], 'representative': 64, 'size': 2}
  • id: 140187626
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 293, 'group_order': 704, 'label': '11A2', 'order': 11, 'powers': [23, 20, 1], 'representative': 128, 'size': 2}
  • id: 140187627
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 293, 'group_order': 704, 'label': '11A3', 'order': 11, 'powers': [24, 23, 1], 'representative': 192, 'size': 2}
  • id: 140187628
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 293, 'group_order': 704, 'label': '11A4', 'order': 11, 'powers': [22, 21, 1], 'representative': 256, 'size': 2}
  • id: 140187629
    {'aut_label': '11A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 293, 'group_order': 704, 'label': '11A5', 'order': 11, 'powers': [20, 22, 1], 'representative': 320, 'size': 2}
  • id: 140187630
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 293, 'group_order': 704, 'label': '22A1', 'order': 22, 'powers': [20, 27, 2], 'representative': 36, 'size': 2}
  • id: 140187631
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 293, 'group_order': 704, 'label': '22A3', 'order': 22, 'powers': [22, 28, 2], 'representative': 100, 'size': 2}
  • id: 140187632
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 293, 'group_order': 704, 'label': '22A5', 'order': 22, 'powers': [24, 26, 2], 'representative': 164, 'size': 2}
  • id: 140187633
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 293, 'group_order': 704, 'label': '22A7', 'order': 22, 'powers': [23, 29, 2], 'representative': 228, 'size': 2}
  • id: 140187634
    {'aut_label': '22A1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 293, 'group_order': 704, 'label': '22A9', 'order': 22, 'powers': [21, 25, 2], 'representative': 292, 'size': 2}
  • id: 140187636
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 293, 'group_order': 704, 'label': '22B1', 'order': 22, 'powers': [20, 32, 3], 'representative': 32, 'size': 2}
  • id: 140187637
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 293, 'group_order': 704, 'label': '22B3', 'order': 22, 'powers': [22, 33, 3], 'representative': 96, 'size': 2}
  • id: 140187638
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 293, 'group_order': 704, 'label': '22B5', 'order': 22, 'powers': [24, 31, 3], 'representative': 160, 'size': 2}
  • id: 140187639
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 33, 'group_counter': 293, 'group_order': 704, 'label': '22B7', 'order': 22, 'powers': [23, 34, 3], 'representative': 224, 'size': 2}
  • id: 140187640
    {'aut_label': '22B1', 'centralizer': '2.a1.a1', 'counter': 34, 'group_counter': 293, 'group_order': 704, 'label': '22B9', 'order': 22, 'powers': [21, 30, 3], 'representative': 288, 'size': 2}
  • id: 140187641
    {'aut_label': '22C1', 'centralizer': '2.a1.a1', 'counter': 35, 'group_counter': 293, 'group_order': 704, 'label': '22C1', 'order': 22, 'powers': [23, 37, 4], 'representative': 132, 'size': 2}
  • id: 140187642
    {'aut_label': '22C1', 'centralizer': '2.a1.a1', 'counter': 36, 'group_counter': 293, 'group_order': 704, 'label': '22C3', 'order': 22, 'powers': [20, 38, 4], 'representative': 388, 'size': 2}
  • id: 140187643
    {'aut_label': '22C1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 293, 'group_order': 704, 'label': '22C5', 'order': 22, 'powers': [21, 36, 4], 'representative': 644, 'size': 2}
  • id: 140187644
    {'aut_label': '22C1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 293, 'group_order': 704, 'label': '22C7', 'order': 22, 'powers': [24, 39, 4], 'representative': 196, 'size': 2}
  • id: 140187645
    {'aut_label': '22C1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 293, 'group_order': 704, 'label': '22C9', 'order': 22, 'powers': [22, 35, 4], 'representative': 452, 'size': 2}
  • id: 140187647
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 40, 'group_counter': 293, 'group_order': 704, 'label': '22D1', 'order': 22, 'powers': [22, 42, 5], 'representative': 9, 'size': 8}
  • id: 140187648
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 41, 'group_counter': 293, 'group_order': 704, 'label': '22D3', 'order': 22, 'powers': [21, 43, 5], 'representative': 201, 'size': 8}
  • id: 140187649
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 42, 'group_counter': 293, 'group_order': 704, 'label': '22D5', 'order': 22, 'powers': [23, 41, 5], 'representative': 41, 'size': 8}
  • id: 140187650
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 43, 'group_counter': 293, 'group_order': 704, 'label': '22D7', 'order': 22, 'powers': [20, 44, 5], 'representative': 585, 'size': 8}
  • id: 140187651
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 44, 'group_counter': 293, 'group_order': 704, 'label': '22D9', 'order': 22, 'powers': [24, 40, 5], 'representative': 73, 'size': 8}
  • id: 140187652
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 45, 'group_counter': 293, 'group_order': 704, 'label': '22E1', 'order': 22, 'powers': [21, 47, 6], 'representative': 25, 'size': 8}
  • id: 140187653
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 46, 'group_counter': 293, 'group_order': 704, 'label': '22E3', 'order': 22, 'powers': [24, 48, 6], 'representative': 77, 'size': 8}
  • id: 140187654
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 47, 'group_counter': 293, 'group_order': 704, 'label': '22E5', 'order': 22, 'powers': [20, 46, 6], 'representative': 57, 'size': 8}
  • id: 140187655
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 48, 'group_counter': 293, 'group_order': 704, 'label': '22E7', 'order': 22, 'powers': [22, 49, 6], 'representative': 13, 'size': 8}
  • id: 140187656
    {'aut_label': '22D1', 'centralizer': '8.e1.a1', 'counter': 49, 'group_counter': 293, 'group_order': 704, 'label': '22E9', 'order': 22, 'powers': [23, 45, 6], 'representative': 45, 'size': 8}
  • id: 140187658
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 50, 'group_counter': 293, 'group_order': 704, 'label': '44A1', 'order': 44, 'powers': [30, 52, 7], 'representative': 20, 'size': 4}
  • id: 140187659
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 51, 'group_counter': 293, 'group_order': 704, 'label': '44A3', 'order': 44, 'powers': [31, 53, 7], 'representative': 52, 'size': 4}
  • id: 140187660
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 52, 'group_counter': 293, 'group_order': 704, 'label': '44A5', 'order': 44, 'powers': [32, 51, 7], 'representative': 84, 'size': 4}
  • id: 140187661
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 53, 'group_counter': 293, 'group_order': 704, 'label': '44A7', 'order': 44, 'powers': [33, 54, 7], 'representative': 468, 'size': 4}
  • id: 140187662
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 54, 'group_counter': 293, 'group_order': 704, 'label': '44A9', 'order': 44, 'powers': [34, 50, 7], 'representative': 148, 'size': 4}
  • id: 140187663
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 55, 'group_counter': 293, 'group_order': 704, 'label': '44B1', 'order': 44, 'powers': [30, 57, 8], 'representative': 16, 'size': 4}
  • id: 140187664
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 56, 'group_counter': 293, 'group_order': 704, 'label': '44B3', 'order': 44, 'powers': [31, 58, 8], 'representative': 48, 'size': 4}
  • id: 140187665
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 57, 'group_counter': 293, 'group_order': 704, 'label': '44B5', 'order': 44, 'powers': [32, 56, 8], 'representative': 80, 'size': 4}
  • id: 140187666
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 58, 'group_counter': 293, 'group_order': 704, 'label': '44B7', 'order': 44, 'powers': [33, 59, 8], 'representative': 112, 'size': 4}
  • id: 140187667
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 59, 'group_counter': 293, 'group_order': 704, 'label': '44B9', 'order': 44, 'powers': [34, 55, 8], 'representative': 144, 'size': 4}
  • id: 140187669
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 60, 'group_counter': 293, 'group_order': 704, 'label': '44C1', 'order': 44, 'powers': [35, 62, 9], 'representative': 65, 'size': 8}
  • id: 140187670
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 61, 'group_counter': 293, 'group_order': 704, 'label': '44C3', 'order': 44, 'powers': [36, 66, 9], 'representative': 17, 'size': 8}
  • id: 140187671
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 62, 'group_counter': 293, 'group_order': 704, 'label': '44C5', 'order': 44, 'powers': [37, 68, 9], 'representative': 321, 'size': 8}
  • id: 140187672
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 63, 'group_counter': 293, 'group_order': 704, 'label': '44C7', 'order': 44, 'powers': [38, 64, 9], 'representative': 257, 'size': 8}
  • id: 140187673
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 64, 'group_counter': 293, 'group_order': 704, 'label': '44C9', 'order': 44, 'powers': [39, 60, 9], 'representative': 577, 'size': 8}
  • id: 140187674
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 65, 'group_counter': 293, 'group_order': 704, 'label': '44C13', 'order': 44, 'powers': [39, 69, 9], 'representative': 129, 'size': 8}
  • id: 140187675
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 66, 'group_counter': 293, 'group_order': 704, 'label': '44C15', 'order': 44, 'powers': [38, 65, 9], 'representative': 449, 'size': 8}
  • id: 140187676
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 67, 'group_counter': 293, 'group_order': 704, 'label': '44C17', 'order': 44, 'powers': [37, 61, 9], 'representative': 33, 'size': 8}
  • id: 140187677
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 68, 'group_counter': 293, 'group_order': 704, 'label': '44C19', 'order': 44, 'powers': [36, 63, 9], 'representative': 193, 'size': 8}
  • id: 140187678
    {'aut_label': '44C1', 'centralizer': '8.f1.a1', 'counter': 69, 'group_counter': 293, 'group_order': 704, 'label': '44C21', 'order': 44, 'powers': [35, 67, 9], 'representative': 641, 'size': 8}
  • id: 140187680
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 70, 'group_counter': 293, 'group_order': 704, 'label': '88A1', 'order': 88, 'powers': [55, 74, 16], 'representative': 8, 'size': 4}
  • id: 140187681
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 71, 'group_counter': 293, 'group_order': 704, 'label': '88A-1', 'order': 88, 'powers': [55, 75, 17], 'representative': 360, 'size': 4}
  • id: 140187682
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 72, 'group_counter': 293, 'group_order': 704, 'label': '88A3', 'order': 88, 'powers': [56, 82, 16], 'representative': 24, 'size': 4}
  • id: 140187683
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 73, 'group_counter': 293, 'group_order': 704, 'label': '88A-3', 'order': 88, 'powers': [56, 83, 17], 'representative': 204, 'size': 4}
  • id: 140187684
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 74, 'group_counter': 293, 'group_order': 704, 'label': '88A5', 'order': 88, 'powers': [57, 86, 17], 'representative': 40, 'size': 4}
  • id: 140187685
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 75, 'group_counter': 293, 'group_order': 704, 'label': '88A-5', 'order': 88, 'powers': [57, 87, 16], 'representative': 392, 'size': 4}
  • id: 140187686
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 76, 'group_counter': 293, 'group_order': 704, 'label': '88A7', 'order': 88, 'powers': [58, 78, 17], 'representative': 56, 'size': 4}
  • id: 140187687
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 77, 'group_counter': 293, 'group_order': 704, 'label': '88A-7', 'order': 88, 'powers': [58, 79, 16], 'representative': 648, 'size': 4}
  • id: 140187688
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 78, 'group_counter': 293, 'group_order': 704, 'label': '88A9', 'order': 88, 'powers': [59, 71, 16], 'representative': 72, 'size': 4}
  • id: 140187689
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 79, 'group_counter': 293, 'group_order': 704, 'label': '88A-9', 'order': 88, 'powers': [59, 70, 17], 'representative': 424, 'size': 4}
  • id: 140187691
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 80, 'group_counter': 293, 'group_order': 704, 'label': '88A13', 'order': 88, 'powers': [59, 89, 17], 'representative': 104, 'size': 4}
  • id: 140187692
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 81, 'group_counter': 293, 'group_order': 704, 'label': '88A-13', 'order': 88, 'powers': [59, 88, 16], 'representative': 456, 'size': 4}
  • id: 140187693
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 82, 'group_counter': 293, 'group_order': 704, 'label': '88A15', 'order': 88, 'powers': [58, 81, 17], 'representative': 232, 'size': 4}
  • id: 140187694
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 83, 'group_counter': 293, 'group_order': 704, 'label': '88A-15', 'order': 88, 'powers': [58, 80, 16], 'representative': 584, 'size': 4}
  • id: 140187695
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 84, 'group_counter': 293, 'group_order': 704, 'label': '88A17', 'order': 88, 'powers': [57, 73, 16], 'representative': 136, 'size': 4}
  • id: 140187696
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 85, 'group_counter': 293, 'group_order': 704, 'label': '88A-17', 'order': 88, 'powers': [57, 72, 17], 'representative': 396, 'size': 4}
  • id: 140187697
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 86, 'group_counter': 293, 'group_order': 704, 'label': '88A19', 'order': 88, 'powers': [56, 76, 16], 'representative': 200, 'size': 4}
  • id: 140187698
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 87, 'group_counter': 293, 'group_order': 704, 'label': '88A-19', 'order': 88, 'powers': [56, 77, 17], 'representative': 28, 'size': 4}
  • id: 140187699
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 88, 'group_counter': 293, 'group_order': 704, 'label': '88A21', 'order': 88, 'powers': [55, 84, 17], 'representative': 12, 'size': 4}
  • id: 140187700
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 89, 'group_counter': 293, 'group_order': 704, 'label': '88A-21', 'order': 88, 'powers': [55, 85, 16], 'representative': 520, 'size': 4}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 12861945
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12861956
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12861964
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12861965
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12861966
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12861967
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12861968
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12861969
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12861970
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, -2, -2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 12861946
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, -2, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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], 'schur_index': 1}
  • id: 12861947
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2c', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 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], 'schur_index': 2}
  • id: 12861948
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2d', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 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], 'schur_index': 2}
  • id: 12861949
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2e', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, -4, 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], 'schur_index': 1}
  • id: 12861950
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2f', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, -4, 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], 'schur_index': 1}
  • id: 12861951
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2g', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, -4, 4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 4, -4, 4, -4, 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], 'schur_index': 1}
  • id: 12861959
    {'cdim': 4, 'counter': 22, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.4a', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 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], 'schur_index': 1}
  • id: 12861952
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2h', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12861953
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2i', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, -10, 10, 10, -10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12861954
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2j', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, -10, 10, 10, 10, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12861955
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2k', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 10, 10, 10, -10, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12861957
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2l', 'multiplicity': 10, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -20, -20, 20, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 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], 'schur_index': 2}
  • id: 12861958
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.2m', 'multiplicity': 10, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 20, -20, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 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], 'schur_index': 2}
  • id: 12861960
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.4b', 'multiplicity': 5, 'nt': [44, 12], 'qdim': 20, 'qvalues': [20, 20, 20, 20, 0, 0, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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], 'schur_index': 1}
  • id: 12861961
    {'cdim': 4, 'counter': 24, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.4c', 'multiplicity': 5, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 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], 'schur_index': 2}
  • id: 12861962
    {'cdim': 4, 'counter': 25, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.4d', 'multiplicity': 10, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, -40, -40, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, -4, 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], 'schur_index': 1}
  • id: 12861963
    {'cdim': 4, 'counter': 26, 'faithful': False, 'group': '704.293', 'group_order': 704, 'image': None, 'label': '704.293.4e', 'multiplicity': 10, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, 40, -40, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 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], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 29856401
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 704, 'label': '704.293.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29856412
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 352, 'label': '704.293.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29856423
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 352, 'label': '704.293.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29856434
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 352, 'label': '704.293.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29856445
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 352, 'label': '704.293.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29856456
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 352, 'label': '704.293.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29856467
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 352, 'label': '704.293.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29856478
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 352, 'label': '704.293.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29856489
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 176, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 88, 'label': '704.293.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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]]]}
  • id: 29856402
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 176, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 88, 'label': '704.293.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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]]]}
  • id: 29856403
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 176, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.d1.b1', 'kernel_order': 88, 'label': '704.293.2c', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 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]]]}
  • id: 29856404
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 176, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '8.4', 'image_order': 8, 'indicator': -1, 'kernel': '8.d1.a1', 'kernel_order': 88, 'label': '704.293.2d', 'nt': [8, 5], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 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]]]}
  • id: 29856405
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 88, 'counter': 13, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.b1', 'kernel_order': 44, 'label': '704.293.2e1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
  • id: 29856406
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 88, 'counter': 14, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.b1', 'kernel_order': 44, 'label': '704.293.2e2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 29856407
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 88, 'counter': 15, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 44, 'label': '704.293.2f1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
  • id: 29856408
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 88, 'counter': 16, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 44, 'label': '704.293.2f2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 29856409
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 17, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1.a1', 'kernel_order': 44, 'label': '704.293.2g1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 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]]]}
  • id: 29856410
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 18, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1.a1', 'kernel_order': 44, 'label': '704.293.2g2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 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]]]}
  • id: 29856411
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 19, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.293.2h1', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 29856413
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 20, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.293.2h2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29856414
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 21, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.293.2h3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29856415
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 22, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.293.2h4', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29856416
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 23, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.293.2h5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29856417
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 24, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.293.2i1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 29856418
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 25, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.293.2i2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29856419
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 26, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.293.2i3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29856420
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 27, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.293.2i4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29856421
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 28, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.293.2i5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29856422
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 29, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.293.2j1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29856424
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 30, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.293.2j2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29856425
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 31, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.293.2j3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29856426
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 32, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.293.2j4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29856427
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 33, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.293.2j5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29856428
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 34, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.293.2k1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29856429
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 35, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.293.2k2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29856430
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 36, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.293.2k3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29856431
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 37, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.293.2k4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29856432
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 38, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.293.2k5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29856433
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 39, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l1', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29856443
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 48, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l10', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29856435
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 40, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l2', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29856436
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 41, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l3', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]]]}
  • id: 29856437
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 42, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l4', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]]]}
  • id: 29856438
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 43, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l5', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29856439
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 44, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l6', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29856440
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 45, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l7', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]]]}
  • id: 29856441
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 46, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l8', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 29856442
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 47, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.293.2l9', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29856444
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 49, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m1', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29856454
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 58, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m10', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29856446
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 50, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m2', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29856447
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 51, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m3', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]]]}
  • id: 29856448
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 52, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m4', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]]]}
  • id: 29856449
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 53, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m5', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29856450
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 54, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m6', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29856451
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 55, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m7', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 29856452
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 56, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m8', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]]]}
  • id: 29856453
    {'center': '44.a1.a1', 'center_index': 44, 'center_order': 16, 'counter': 57, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [-11, 0, 55, 0, -77, 0, 44, 0, -11, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '88.3', 'image_order': 88, 'indicator': -1, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.293.2m9', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29856455
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 44, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.c1.a1', 'kernel_order': 22, 'label': '704.293.4a', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29856457
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 60, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.293.4b1', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[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]]]}
  • id: 29856458
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 61, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.293.4b2', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[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]]]}
  • id: 29856459
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 62, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.293.4b3', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[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]]]}
  • id: 29856460
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 63, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.293.4b4', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[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]]]}
  • id: 29856461
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 64, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.293.4b5', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[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]]]}
  • id: 29856462
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 65, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.293.4c1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[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]]]}
  • id: 29856463
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 66, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.293.4c2', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[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]]]}
  • id: 29856464
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 67, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.293.4c3', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[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]]]}
  • id: 29856465
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 68, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.293.4c4', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[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]]]}
  • id: 29856466
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 69, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.293.4c5', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[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]]]}
  • id: 29856468
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 70, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[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]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]]]}
  • id: 29856477
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d10', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[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]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]]]}
  • id: 29856469
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d2', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[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]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]]]}
  • id: 29856470
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d3', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[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]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]]]}
  • id: 29856471
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d4', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[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]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]]]}
  • id: 29856472
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d5', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[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]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]]]}
  • id: 29856473
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d6', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[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]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]]]}
  • id: 29856474
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 76, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d7', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[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]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]]]}
  • id: 29856475
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d8', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[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]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]]]}
  • id: 29856476
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.293.4d9', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 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]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[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]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]]]}
  • id: 29856479
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[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]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]]]}
  • id: 29856488
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 89, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e10', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[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]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 9], [1, 13], [1, 31], [-1, 35]]]}
  • id: 29856480
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e2', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[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]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]]]}
  • id: 29856481
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 82, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e3', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[2, 20], [2, -20]], [[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]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]]]}
  • id: 29856482
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 83, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e4', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[2, 20], [2, -20]], [[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]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]]]}
  • id: 29856483
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 84, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e5', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[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]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]]]}
  • id: 29856484
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 85, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e6', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[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]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]]]}
  • id: 29856485
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 86, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e7', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[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]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]]]}
  • id: 29856486
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 87, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e8', 'nt': [88, 10], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[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]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]]]}
  • id: 29856487
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 88, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.293', 'group_counter': 293, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.293.4e9', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[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]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [1, 15], [1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [-1, 21], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [1, 21], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[1, 9], [-1, 13], [-1, 31], [1, 35]]]}
• 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: 110649993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 704, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 22, 'label': '704.293.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, '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': '704.293', 'subgroup_hash': 293, 'subgroup_order': 704, 'subgroup_tex': '(D_4\\times C_{11}):Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 352, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, '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': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.51', 'subgroup_hash': 51, 'subgroup_order': 352, 'subgroup_tex': 'D_4:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.129', 'subgroup_hash': 129, 'subgroup_order': 352, 'subgroup_tex': 'C_2^3.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.38', 'subgroup_hash': 38, 'subgroup_order': 352, 'subgroup_tex': 'C_{22}.D_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.83', 'subgroup_hash': 83, 'subgroup_order': 352, 'subgroup_tex': 'C_{44}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.14', 'subgroup_hash': 14, 'subgroup_order': 352, 'subgroup_tex': 'C_{44}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 352, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.20', 'subgroup_hash': 20, 'subgroup_order': 352, 'subgroup_tex': 'C_{44}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.23', 'subgroup_hash': 23, 'subgroup_order': 352, 'subgroup_tex': 'C_{88}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.38', 'subgroup_hash': 38, 'subgroup_order': 176, 'subgroup_tex': 'D_4\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110649994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.21', 'subgroup_hash': 21, 'subgroup_order': 176, 'subgroup_tex': 'C_4:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.10', 'subgroup_hash': 10, 'subgroup_order': 176, 'subgroup_tex': 'C_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.12', 'subgroup_hash': 12, 'subgroup_order': 176, 'subgroup_tex': 'C_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.12', 'subgroup_hash': 12, 'subgroup_order': 176, 'subgroup_tex': 'C_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650007
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 176, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.22', 'subgroup_hash': 22, 'subgroup_order': 176, 'subgroup_tex': 'C_2\\times C_{88}', 'supersolvable': True, 'sylow': 0}
  • id: 110650008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.8', 'subgroup_hash': 8, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650009
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '176.35', 'subgroup_hash': 35, 'subgroup_order': 176, 'subgroup_tex': 'C_2^2.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '176.18', 'subgroup_hash': 18, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '176.11', 'subgroup_hash': 11, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '176.27', 'subgroup_hash': 27, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 88, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 88, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 88, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 88, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110650018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 88, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110650019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.12', 'subgroup_hash': 12, 'subgroup_order': 88, 'subgroup_tex': 'C_2^2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650020
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650021
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650022
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.b1', 'outer_equivalence': False, 'perfect': False, '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': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 44, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110650027
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 44, 'counter': 32, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.2', 'subgroup_hash': 2, 'subgroup_order': 88, 'subgroup_tex': 'C_{88}', 'supersolvable': True, 'sylow': 0}
  • id: 110650028
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.1', 'subgroup_hash': 1, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.8.m1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a2', 'outer_equivalence': False, 'perfect': False, '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': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '704.293.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.157', 'subgroup_hash': 157, 'subgroup_order': 64, 'subgroup_tex': 'D_4:Q_8', 'supersolvable': True, 'sylow': 2}
  • id: 110650032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 44, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650033
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 44, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650034
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 44, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650036
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650037
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650038
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650039
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650040
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650041
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1.b1', 'outer_equivalence': False, 'perfect': False, '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': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650042
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650043
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110650044
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650045
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 32, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{11}', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.9', 'subgroup_hash': 9, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.22.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.9', 'subgroup_hash': 9, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.22.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.35', 'subgroup_hash': 35, 'subgroup_order': 32, 'subgroup_tex': 'C_4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.22.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.22.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.12', 'subgroup_hash': 12, 'subgroup_order': 32, 'subgroup_tex': 'C_4:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.22.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650054
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 57, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650055
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:Q_8', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650056
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 59, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650058
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 11, 'counter': 60, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650059
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 11, 'counter': 61, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.32.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1.b1', 'outer_equivalence': False, 'perfect': False, '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': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110650060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 16, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 16, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650062
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 16, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.44.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '44.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '44.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 44, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650063
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 110650066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650069
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.44.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650072
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 11, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '704.293.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.157', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 157, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:Q_8', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 110650073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 8, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{22}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.88.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 110650077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650081
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 4, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650086
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.88.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650087
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.88.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.88.m1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.m1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110650091
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.293.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '176.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110650092
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.176.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '176.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650093
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 92, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.176.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '176.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '176.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650094
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.176.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110650095
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.176.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650096
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 95, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.176.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650097
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 96, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.176.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110650098
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.176.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110650099
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.176.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110650100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.293.176.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110649995
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.176.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110649996
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.176.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110649997
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.176.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110649998
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.352.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '352.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '352.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}\\times D_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110649999
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.352.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '352.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '352.73', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{22}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110650000
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 105, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.293.352.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '352.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '352.106', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 106, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{22}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110650001
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.352.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], '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: 110650002
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.293.352.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], '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: 110650003
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.293', 'ambient_counter': 293, 'ambient_order': 704, 'ambient_tex': '(D_4\\times C_{11}):Q_8', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 1, 'counter': 108, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '704.293.704.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '704.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '704.293', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 293, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 704, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(D_4\\times C_{11}):Q_8', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C7'], '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: 110649993
    {'ambient': '704.293', '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': '176.a1.a1', 'complements': ['704.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '11.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7090, 4863, 6453, 4625, 6807, 4612, 6225, 4045], 'generators': [1, 352, 88, 4, 2, 64, 528], 'label': '704.293.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110649994
    {'ambient': '704.293', 'aut_centralizer_order': 176, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '160.229', 'aut_weyl_index': 176, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '44.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5792, 2475, 7809, 4323, 6400, 4873, 7384, 3817], 'generators': [1, 64, 4, 176, 352], 'label': '704.293.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '44.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110649995
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '176.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '8.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '88.d1.a1', '88.m1.a1', '88.m1.a2'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [93, -1, 9381, -1, 1067, -1, 8567, -1], 'generators': [1], 'label': '704.293.176.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '176.i1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110649996
    {'ambient': '704.293', 'aut_centralizer_order': 640, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '88.f1.a1', '88.m1.a1', '88.m1.a2'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [590, -1, 9174, -1, 1917, -1, 8298, -1], 'generators': [3], 'label': '704.293.176.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '176.j1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110649997
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '176.k1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '88.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '88.h1.a1', '88.m1.a1', '88.m1.a2'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [342, -1, 9589, -1, 807, -1, 8837, -1], 'generators': [2], 'label': '704.293.176.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.k1.a1', 'old_label': '176.k1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110649998
    {'ambient': '704.293', 'aut_centralizer_order': 28160, 'aut_label': '352.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '176.a1.a1', '176.d1.a1', '176.e1.a1', '176.e1.b1', '176.f1.a1'], 'contains': ['704.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3158, 6199, 1757, 3058, 4310, 3778, 2314, 3031], 'generators': [356], 'label': '704.293.352.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.a1.a1', 'normal_contained_in': ['32.a1.a1', '176.a1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '352.a1.a1', 'projective_image': '352.108', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.108', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110649999
    {'ambient': '704.293', 'aut_centralizer_order': 28160, 'aut_label': '352.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '176.a1.a1', '176.b1.a1', '176.c1.a1', '176.g1.a1', '176.g1.b1'], 'contains': ['704.a1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7169, 5376, 3612, 4371, 6529, 4955, 3926, 4802], 'generators': [352], 'label': '704.293.352.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.b1.a1', 'normal_contained_in': ['32.b1.a1', '176.a1.a1', '176.b1.a1', '176.c1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '352.b1.a1', 'projective_image': '352.73', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.73', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650000
    {'ambient': '704.293', 'aut_centralizer_order': 28160, 'aut_label': '352.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '176.a1.a1', '176.h1.a1', '176.i1.a1', '176.j1.a1', '176.k1.a1'], 'contains': ['704.a1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [780, 6815, 6743, 3646, 2551, 4366, 7102, 4174], 'generators': [4], 'label': '704.293.352.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.c1.a1', 'normal_contained_in': ['32.c1.a1', '176.a1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '352.c1.a1', 'projective_image': '352.106', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.106', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650001
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '352.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '176.d1.a1', '176.g1.a1', '176.h1.a1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5057, -1, 1018, -1, 5573, -1, 1794, -1], 'generators': [265], 'label': '704.293.352.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '352.d1.a1', 'projective_image': '704.293', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650002
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '352.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1', '176.d1.a1', '176.g1.b1', '176.h1.a1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5057, -1, 1224, -1, 5573, -1, 1607, -1], 'generators': [441], 'label': '704.293.352.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '352.d1.b1', 'projective_image': '704.293', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650003
    {'ambient': '704.293', 'aut_centralizer_order': None, 'aut_label': '704.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '352.a1.a1', '352.b1.a1', '352.c1.a1', '352.d1.a1', '352.d1.b1'], 'contains': [], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4567, 6507, 1902, 3352, 5036, 4072, 2210, 3888], 'generators': [], 'label': '704.293.704.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '704.a1.a1', 'normal_contained_in': ['64.a1.a1', '352.b1.a1', '352.c1.a1', '352.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '704.a1.a1', 'projective_image': '704.293', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '704.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650004
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '880.210', 'aut_weyl_index': 32, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '44.f1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3835, 9247, 6145, 791, 4083, 720, 5003, 725], 'generators': [3, 4, 352, 176, 64], 'label': '704.293.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650005
    {'ambient': '704.293', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.g1.a1', '44.g1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6334, 7902, 5007, 2072, 5532, 2003, 4242, 2696], 'generators': [10, 356, 352, 176, 64], 'label': '704.293.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650006
    {'ambient': '704.293', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '44.h1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6745, 3819, 8261, 3042, 5181, 6157, 8029, 1846], 'generators': [2, 4, 352, 176, 64], 'label': '704.293.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650043
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.m1.a1', '8.m1.a2'], 'contains': ['32.c1.a1', '176.i1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [883, -1, 8839, -1, 1020, -1, 8567, -1], 'generators': [1, 4, 64], 'label': '704.293.16.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.i1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650007
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '80.52', 'aut_weyl_index': 352, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.k1.a1', '44.c1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9772, 5026, 5412, 7365, 9342, 7310, 5969, 6480], 'generators': [4, 64, 176, 88, 352], 'label': '704.293.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '44.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650008
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '880.210', 'aut_weyl_index': 32, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.l1.a1', '44.i1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9023, 6558, 6921, 5905, 8814, 3287, 5505, 5202], 'generators': [11, 176, 352, 4, 64], 'label': '704.293.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650009
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 16, 'centralizer': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.g1.a1', '8.i1.a1', '8.i1.b1', '44.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4953, -1, 1592, -1, 4688, -1, 1662, -1], 'generators': [441, 352, 356, 10, 64], 'label': '704.293.4.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650010
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '8.e1.a1', '8.g1.a1', '44.e1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4377, -1, 3026, -1, 3348, -1, 3934, -1], 'generators': [265, 356, 352, 10, 64], 'label': '704.293.4.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.i1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650011
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.b1.a1', '8.f1.a1', '8.h1.a1', '44.j1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1422, -1, 8602, -1, 2495, -1, 8578, -1], 'generators': [177, 4, 352, 2, 64], 'label': '704.293.4.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.j1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650012
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.c1.a1', '8.f1.a1', '8.h1.a1', '8.m1.a1', '8.m1.a2', '44.k1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [842, -1, 9054, -1, 1282, -1, 8984, -1], 'generators': [1, 352, 4, 2, 64], 'label': '704.293.4.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.k1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650013
    {'ambient': '704.293', 'aut_centralizer_order': 44, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.21528', 'aut_weyl_index': 44, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.f1.a1', '22.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8401, 753, 5243, 8784, 8058, 9223, 5969, 7686], 'generators': [1, 352, 64, 4, 88, 528], 'label': '704.293.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.f1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650014
    {'ambient': '704.293', 'aut_centralizer_order': 1408, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6668, 5026, 5421, 4527, 6993, 4538, 5003, 4523], 'generators': [4, 64, 352, 176], 'label': '704.293.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650015
    {'ambient': '704.293', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '44.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.h1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '88.e1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2841, 8236, 2693, 1232, 2917, 1488, 3468, 1860], 'generators': [179, 356, 64, 352], 'label': '704.293.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.b1', '16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650016
    {'ambient': '704.293', 'aut_centralizer_order': 64, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.j1.a1', '88.f1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2040, 6576, 7246, 3018, 2073, 3074, 5917, 3245], 'generators': [3, 4, 64, 352], 'label': '704.293.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650017
    {'ambient': '704.293', 'aut_centralizer_order': 176, 'aut_label': '8.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 352, 'centralizer': '16.a1.a1', 'complements': ['88.m1.a1', '88.m1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.g1.a1', '88.b1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7704, 1096, 3788, 8702, 7477, 6631, 2503, 9479], 'generators': [265, 64, 352, 180], 'label': '704.293.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1', '88.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '352.73', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650018
    {'ambient': '704.293', 'aut_centralizer_order': 176, 'aut_label': '8.d1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 352, 'centralizer': '16.a1.a1', 'complements': ['88.m1.a1', '88.m1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.c1.a1', '16.g1.b1', '88.b1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7704, 1096, 4369, 7365, 7477, 6631, 2078, 8308], 'generators': [441, 64, 352, 180], 'label': '704.293.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1', '88.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '352.73', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650019
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.h1.a1', '4.i1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '16.g1.a1', '16.g1.b1', '16.h1.a1', '88.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5226, -1, 1592, -1, 5665, -1, 1219, -1], 'generators': [265, 352, 64, 4], 'label': '704.293.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650020
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '8.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '88.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1422, -1, 8088, -1, 1545, -1, 8337, -1], 'generators': [1, 64, 4, 352], 'label': '704.293.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.f1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650021
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.a1', '4.i1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '88.g1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4443, -1, 2136, -1, 3490, -1, 2966, -1], 'generators': [10, 356, 64, 352], 'label': '704.293.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650022
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.k1.a1', '88.h1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [804, -1, 8602, -1, 1017, -1, 8800, -1], 'generators': [2, 4, 64, 352], 'label': '704.293.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650023
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '88.i1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3511, -1, 810, -1, 4641, -1, 730, -1], 'generators': [89, 356, 64, 10], 'label': '704.293.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.i1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110650044
    {'ambient': '704.293', 'aut_centralizer_order': 64, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.m1.a1', '8.m1.a2'], 'contains': ['32.c1.a1', '176.j1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1243, -1, 8539, -1, 1327, -1, 8298, -1], 'generators': [3, 64, 4], 'label': '704.293.16.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.j1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650024
    {'ambient': '704.293', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1', '4.h1.a1', '4.i1.a1', '22.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5392, 9220, 4659, 718, 5532, 1137, 4242, 1482], 'generators': [265, 64, 176, 356, 10, 352], 'label': '704.293.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650025
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.b1.b1', '16.e1.a1', '16.f1.a1', '88.i1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [3511, -1, 253, -1, 4641, -1, 228, -1], 'generators': [441, 356, 64, 10], 'label': '704.293.8.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.i1.b1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.b1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110650026
    {'ambient': '704.293', 'aut_centralizer_order': 176, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '80.46', 'aut_weyl_index': 352, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.d1.a1', '16.g1.a1', '16.g1.b1', '88.j1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8401, -1, 3317, -1, 8368, -1, 3932, -1], 'generators': [265, 64, 352, 176], 'label': '704.293.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.j1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110650027
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.d1.a1', '88.k1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9644, -1, 4840, -1, 9897, -1, 6592, -1], 'generators': [88, 176, 352, 64], 'label': '704.293.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '8.k1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650028
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1'], 'contains': ['16.d1.a1', '88.l1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9023, -1, 6685, -1, 9590, -1, 6323, -1], 'generators': [11, 352, 64, 176], 'label': '704.293.8.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.l1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650029
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.i1.a1', '16.j1.a1', '16.k1.a1', '88.m1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [263, -1, 9054, -1, 149, -1, 9869, -1], 'generators': [1, 4, 64, 2], 'label': '704.293.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.m1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650030
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.i1.a1', '16.j1.a1', '16.k1.a1', '88.m1.a2'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [263, -1, 9396, -1, 149, -1, 9561, -1], 'generators': [353, 4, 64, 2], 'label': '704.293.8.m1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.m1.a2', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a2', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650031
    {'ambient': '704.293', 'aut_centralizer_order': 10, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '256.56083', 'aut_weyl_index': 110, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['22.a1.a1', '22.b1.a1', '22.c1.a1', '22.d1.a1', '22.e1.a1', '22.f1.a1', '22.g1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7242, -1, 6600, -1, 6987, -1, 7434, -1], 'generators': [1, 2, 88], 'label': '704.293.11.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '11.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650032
    {'ambient': '704.293', 'aut_centralizer_order': 2816, 'aut_label': '16.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '176.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2482, 6576, 5421, 3262, 2950, 3091, 5329, 3717], 'generators': [4, 64, 352], 'label': '704.293.16.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.b1.a1', '32.c1.a1', '32.a1.a1', '176.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650033
    {'ambient': '704.293', 'aut_centralizer_order': 64, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '44.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.i1.a1'], 'contains': ['32.a1.a1', '176.e1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2968, 8014, 2181, 1142, 3770, 1725, 2415, 2710], 'generators': [531, 64, 356], 'label': '704.293.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650034
    {'ambient': '704.293', 'aut_centralizer_order': 64, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '44.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.i1.b1'], 'contains': ['32.a1.a1', '176.e1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2968, 8014, 1839, 2112, 3770, 1725, 2107, 1860], 'generators': [179, 64, 356], 'label': '704.293.16.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.b1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650035
    {'ambient': '704.293', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.e1.a1', '4.g1.a1', '22.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7715, 2457, 6935, 7161, 7471, 7596, 6484, 6266], 'generators': [265, 64, 180, 528, 2, 352], 'label': '704.293.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650036
    {'ambient': '704.293', 'aut_centralizer_order': 1408, 'aut_label': '16.c1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1'], 'contains': ['32.b1.a1', '176.b1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7328, 3964, 4259, 7365, 7323, 4841, 3926, 6494], 'generators': [180, 352, 64], 'label': '704.293.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1'], 'normal_contains': ['32.b1.a1', '176.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '352.73', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650037
    {'ambient': '704.293', 'aut_centralizer_order': 1408, 'aut_label': '16.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.j1.a1', '8.k1.a1', '8.l1.a1'], 'contains': ['32.b1.a1', '176.c1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9154, 5043, 4731, 4527, 8265, 4121, 5655, 4688], 'generators': [176, 352, 64], 'label': '704.293.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.b1.a1', '176.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '352.73', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650038
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.i1.a1', '8.i1.b1'], 'contains': ['32.a1.a1', '32.d1.a1', '32.d1.b1', '176.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4619, -1, 511, -1, 5343, -1, 305, -1], 'generators': [265, 64, 356], 'label': '704.293.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.e1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650039
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.i1.a1', '8.i1.b1'], 'contains': ['32.a1.a1', '176.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3379, -1, 917, -1, 4121, -1, 1799, -1], 'generators': [10, 64, 356], 'label': '704.293.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.f1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110650040
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.e1.a1', '8.j1.a1'], 'contains': ['32.b1.a1', '32.d1.a1', '176.g1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7894, -1, 3026, -1, 6550, -1, 3202, -1], 'generators': [265, 64, 352], 'label': '704.293.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.g1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650041
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.e1.a1', '8.j1.a1'], 'contains': ['32.b1.a1', '32.d1.b1', '176.g1.b1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7894, -1, 3496, -1, 6550, -1, 2780, -1], 'generators': [441, 64, 352], 'label': '704.293.16.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.g1.b1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650042
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1'], 'contains': ['32.c1.a1', '32.d1.a1', '32.d1.b1', '176.h1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5181, -1, 1434, -1, 5824, -1, 727, -1], 'generators': [265, 64, 4], 'label': '704.293.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.h1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650045
    {'ambient': '704.293', 'aut_centralizer_order': 32, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.m1.a1', '8.m1.a2'], 'contains': ['32.c1.a1', '176.k1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [393, -1, 9137, -1, 713, -1, 8837, -1], 'generators': [2, 64, 4], 'label': '704.293.16.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.k1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110650046
    {'ambient': '704.293', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': ['352.d1.a1', '352.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.e1.a1', '4.j1.a1', '4.k1.a1', '22.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3835, 3844, 8261, 1998, 4083, 4612, 8029, 361], 'generators': [1, 64, 176, 4, 2, 352], 'label': '704.293.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650047
    {'ambient': '704.293', 'aut_centralizer_order': 440, 'aut_label': '22.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.b1.a1', '44.c1.a1'], 'core': '22.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8730, 1704, 5777, 8001, 8120, 9697, 6776, 7394], 'generators': [1, 88], 'label': '704.293.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['44.a1.a1', '44.b1.a1', '44.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650048
    {'ambient': '704.293', 'aut_centralizer_order': 40, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.d1.a1', '44.e1.a1', '44.f1.a1', '44.g1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5623, -1, 4549, -1, 5910, -1, 4574, -1], 'generators': [265, 10, 176], 'label': '704.293.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110650049
    {'ambient': '704.293', 'aut_centralizer_order': 40, 'aut_label': '22.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.h1.a1', '44.i1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8281, -1, 6789, -1, 7849, -1, 7014, -1], 'generators': [265, 2], 'label': '704.293.22.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.c1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650050
    {'ambient': '704.293', 'aut_centralizer_order': 40, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.f1.a1', '44.h1.a1', '44.j1.a1', '44.k1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3783, -1, 8126, -1, 3661, -1, 8303, -1], 'generators': [1, 2, 176], 'label': '704.293.22.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.d1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650051
    {'ambient': '704.293', 'aut_centralizer_order': 40, 'aut_label': '22.e1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.g1.a1', '44.i1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6696, -1, 7381, -1, 7093, -1, 6538, -1], 'generators': [1, 10], 'label': '704.293.22.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650052
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '22.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '32.51', 'aut_weyl_index': 880, 'centralizer': '88.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.f1.a1', '44.i1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9047, -1, 6416, -1, 8392, -1, 6300, -1], 'generators': [3, 88], 'label': '704.293.22.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.f1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110650053
    {'ambient': '704.293', 'aut_centralizer_order': 40, 'aut_label': '22.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.g1.a1', '44.h1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7014, -1, 6042, -1, 6822, -1, 7755, -1], 'generators': [2, 88], 'label': '704.293.22.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.g1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650054
    {'ambient': '704.293', 'aut_centralizer_order': 2816, 'aut_label': '32.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.e1.a1', '16.f1.a1'], 'contains': ['64.a1.a1', '352.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2831, 6627, 1845, 2112, 4157, 2404, 2107, 2960], 'generators': [356, 64], 'label': '704.293.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.b1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '352.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '352.108', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.8', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650055
    {'ambient': '704.293', 'aut_centralizer_order': 2816, 'aut_label': '32.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '16.g1.a1', '16.g1.b1'], 'contains': ['64.a1.a1', '352.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7414, 5479, 3570, 3548, 6406, 3843, 3926, 4802], 'generators': [352, 64], 'label': '704.293.32.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.d1.a1'], 'normal_contains': ['64.a1.a1', '352.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '352.73', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650056
    {'ambient': '704.293', 'aut_centralizer_order': 2816, 'aut_label': '32.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.h1.a1', '16.i1.a1', '16.j1.a1', '16.k1.a1'], 'contains': ['64.a1.a1', '352.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1243, 7380, 6743, 2830, 2551, 3124, 7102, 3588], 'generators': [4, 64], 'label': '704.293.32.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '352.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '352.106', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.7', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650057
    {'ambient': '704.293', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': ['352.d1.a1', '352.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.d1.a1', '4.g1.a1', '22.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6327, 4863, 7401, 4625, 6630, 2420, 5562, 4045], 'generators': [1, 64, 4, 176, 10, 352], 'label': '704.293.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.d1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650058
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.g1.a1', '16.h1.a1'], 'contains': ['64.a1.a1', '352.d1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5274, -1, 1055, -1, 5824, -1, 1268, -1], 'generators': [265, 64], 'label': '704.293.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '32.d1.a1', 'projective_image': '704.293', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650059
    {'ambient': '704.293', 'aut_centralizer_order': 352, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '8.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.g1.b1', '16.h1.a1'], 'contains': ['64.a1.a1', '352.d1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5274, -1, 1308, -1, 5824, -1, 1040, -1], 'generators': [441, 64], 'label': '704.293.32.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '32.d1.b1', 'projective_image': '704.293', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650060
    {'ambient': '704.293', 'aut_centralizer_order': 1760, 'aut_label': '44.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1', '22.b1.a1', '22.c1.a1'], 'contains': ['88.a1.a1', '88.b1.a1', '88.b1.b1', '88.c1.a1', '88.j1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8125, 1464, 3975, 9069, 7923, 8978, 4615, 7229], 'generators': [265, 4, 176], 'label': '704.293.44.a1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.a1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1', '88.b1.a1', '88.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110650061
    {'ambient': '704.293', 'aut_centralizer_order': 1760, 'aut_label': '44.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.a1.a1', '22.d1.a1', '22.e1.a1'], 'contains': ['88.a1.a1', '88.d1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5792, 2448, 7766, 5831, 6615, 5585, 7529, 5437], 'generators': [1, 176], 'label': '704.293.44.b1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.b1.a1', 'normal_contained_in': ['4.b1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650062
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '44.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3520, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '22.a1.a1', '22.f1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.k1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8599, 3424, 5507, 6761, 9212, 7858, 7234, 6252], 'generators': [4, 88], 'label': '704.293.44.c1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.c1.a1', 'normal_contained_in': ['4.f1.a1', '22.a1.a1'], 'normal_contains': ['88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '44.c1.a1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '44.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650063
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '22.b1.a1'], 'contains': ['88.c1.a1', '88.e1.a1', '88.g1.a1', '88.i1.a1', '88.i1.b1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4194, -1, 1802, -1, 5160, -1, 1662, -1], 'generators': [441, 10, 352], 'label': '704.293.44.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.d1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650064
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '22.b1.a1'], 'contains': ['88.c1.a1', '88.f1.a1', '88.g1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3728, -1, 3067, -1, 3944, -1, 4291, -1], 'generators': [265, 10], 'label': '704.293.44.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650065
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3520, 'centralizer': '44.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.b1.a1', '22.d1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '88.e1.a1', '88.f1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3390, -1, 6140, -1, 4234, -1, 5560, -1], 'generators': [3, 176], 'label': '704.293.44.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.f1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650066
    {'ambient': '704.293', 'aut_centralizer_order': 160, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '22.b1.a1', '22.e1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.g1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6120, -1, 5001, -1, 6344, -1, 5335, -1], 'generators': [10, 176], 'label': '704.293.44.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110650067
    {'ambient': '704.293', 'aut_centralizer_order': 160, 'aut_label': '44.h1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '22.c1.a1', '22.d1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.h1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [6503, -1, 8031, -1, 6072, -1, 7768, -1], 'generators': [2, 176], 'label': '704.293.44.h1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.h1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650068
    {'ambient': '704.293', 'aut_centralizer_order': 8, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '88.a1.a1', 'complements': ['352.d1.a1', '352.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.f1.a1', '4.g1.a1', '22.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9023, 7748, 6317, 5717, 8566, 3516, 5215, 5002], 'generators': [3, 64, 4, 176, 88, 352], 'label': '704.293.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.f1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110650069
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '44.i1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3520, 'centralizer': '44.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '22.c1.a1', '22.e1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '88.l1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9068, -1, 6453, -1, 8811, -1, 6882, -1], 'generators': [11, 4], 'label': '704.293.44.i1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.i1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650070
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '44.j1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '22.d1.a1'], 'contains': ['88.d1.a1', '88.e1.a1', '88.h1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1678, -1, 8563, -1, 2495, -1, 8006, -1], 'generators': [177, 2], 'label': '704.293.44.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '44.j1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.j1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110650071
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '44.k1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '22.d1.a1'], 'contains': ['88.d1.a1', '88.f1.a1', '88.h1.a1', '88.m1.a1', '88.m1.a2'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1264, -1, 9019, -1, 527, -1, 9230, -1], 'generators': [1, 2, 352], 'label': '704.293.44.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '44.k1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.k1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 110650072
    {'ambient': '704.293', 'aut_centralizer_order': 2816, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.d1.a1', '32.d1.b1'], 'contains': ['704.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4708, 7106, 2228, 2724, 5036, 3124, 2107, 3602], 'generators': [64], 'label': '704.293.64.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.b1.a1', '32.c1.a1', '32.a1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '704.293', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.9', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650073
    {'ambient': '704.293', 'aut_centralizer_order': 14080, 'aut_label': '88.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1', '44.f1.a1', '44.g1.a1', '44.h1.a1', '44.i1.a1'], 'contains': ['176.a1.a1', '176.b1.a1', '176.c1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6766, 3424, 5243, 5831, 6993, 5756, 5945, 5488], 'generators': [4, 176], 'label': '704.293.88.a1.a1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1'], 'normal_contains': ['176.a1.a1', '176.b1.a1', '176.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '44.3', 'quotient_action_kernel_order': 44, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650074
    {'ambient': '704.293', 'aut_centralizer_order': 1760, 'aut_label': '88.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '8.b1.a1', 'complements': ['8.m1.a1', '8.m1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.a1.a1'], 'contains': ['176.b1.a1', '176.g1.a1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7787, 1464, 3809, 9282, 7559, 6631, 5024, 7686], 'generators': [265, 180], 'label': '704.293.88.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '88.b1.a1', 'normal_contained_in': ['8.d1.a1', '44.a1.a1'], 'normal_contains': ['176.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.b1.a1', 'projective_image': '352.73', 'quotient_action_image': '4.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110650075
    {'ambient': '704.293', 'aut_centralizer_order': 1760, 'aut_label': '88.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '8.b1.a1', 'complements': ['8.m1.a1', '8.m1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '44.a1.a1'], 'contains': ['176.b1.a1', '176.g1.b1'], 'core': '88.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7787, 1464, 4049, 8351, 7559, 6631, 3719, 7172], 'generators': [441, 180], 'label': '704.293.88.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '88.b1.b1', 'normal_contained_in': ['8.d1.b1', '44.a1.a1'], 'normal_contains': ['176.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.b1.b1', 'projective_image': '352.73', 'quotient_action_image': '4.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '88.b1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110650076
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '88.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '44.a1.a1', '44.d1.a1', '44.e1.a1'], 'contains': ['176.a1.a1', '176.d1.a1', '176.g1.a1', '176.g1.b1', '176.h1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4981, -1, 2222, -1, 6187, -1, 3520, -1], 'generators': [265, 4, 352], 'label': '704.293.88.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '88.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650077
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '88.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '8.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '44.b1.a1', '44.j1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.i1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1022, -1, 8332, -1, 2106, -1, 7615, -1], 'generators': [1, 352], 'label': '704.293.88.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '88.d1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650078
    {'ambient': '704.293', 'aut_centralizer_order': 640, 'aut_label': '88.e1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.d1.a1', '44.f1.a1', '44.j1.a1'], 'contains': ['176.a1.a1', '176.e1.a1', '176.e1.b1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2561, -1, 2926, -1, 3392, -1, 4568, -1], 'generators': [179, 352], 'label': '704.293.88.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650079
    {'ambient': '704.293', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': ['352.d1.a1', '352.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.e1.a1', '4.f1.a1', '22.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6882, 6241, 5811, 3311, 6155, 5928, 7012, 2895], 'generators': [2, 64, 4, 176, 88, 352], 'label': '704.293.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.e1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110650080
    {'ambient': '704.293', 'aut_centralizer_order': 640, 'aut_label': '88.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.e1.a1', '44.f1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.j1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1961, -1, 7421, -1, 2507, -1, 6297, -1], 'generators': [3, 352], 'label': '704.293.88.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.f1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650081
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '88.g1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '44.d1.a1', '44.e1.a1', '44.g1.a1'], 'contains': ['176.a1.a1', '176.f1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4063, -1, 2535, -1, 4499, -1, 4216, -1], 'generators': [10, 352], 'label': '704.293.88.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650082
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '88.h1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '88.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '44.h1.a1', '44.j1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.k1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1492, -1, 8801, -1, 1704, -1, 7967, -1], 'generators': [2, 352], 'label': '704.293.88.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '88.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650083
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '44.d1.a1'], 'contains': ['176.d1.a1', '176.e1.a1', '176.f1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [3424, -1, 1299, -1, 4900, -1, 1468, -1], 'generators': [89, 10], 'label': '704.293.88.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '88.i1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650084
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.b1', '44.d1.a1'], 'contains': ['176.d1.a1', '176.e1.b1', '176.f1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [3424, -1, 908, -1, 4900, -1, 1116, -1], 'generators': [441, 10], 'label': '704.293.88.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '88.i1.b1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.i1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650085
    {'ambient': '704.293', 'aut_centralizer_order': 1760, 'aut_label': '88.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '44.a1.a1'], 'contains': ['176.c1.a1', '176.g1.a1', '176.g1.b1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9005, -1, 3443, -1, 7976, -1, 4837, -1], 'generators': [265, 176], 'label': '704.293.88.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '88.j1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650086
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '44.c1.a1'], 'contains': ['176.c1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9907, -1, 4864, -1, 9212, -1, 6753, -1], 'generators': [88], 'label': '704.293.88.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '88.k1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650087
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '88.l1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '44.i1.a1'], 'contains': ['176.c1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [9658, -1, 6453, -1, 8811, -1, 6567, -1], 'generators': [11], 'label': '704.293.88.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.e1.a1', 'old_label': '88.l1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650088
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '88.m1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '44.k1.a1'], 'contains': ['176.i1.a1', '176.j1.a1', '176.k1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [342, -1, 9539, -1, 429, -1, 9271, -1], 'generators': [1, 2], 'label': '704.293.88.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.k1.a1', 'old_label': '88.m1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.m1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650089
    {'ambient': '704.293', 'aut_centralizer_order': 80, 'aut_label': '88.m1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a2', '44.k1.a1'], 'contains': ['176.i1.a1', '176.j1.a1', '176.k1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [342, -1, 9747, -1, 429, -1, 9085, -1], 'generators': [353, 2], 'label': '704.293.88.m1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.k1.a1', 'old_label': '88.m1.a2', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.m1.a2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110650090
    {'ambient': '704.293', 'aut_centralizer_order': 176, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '160.229', 'aut_weyl_index': 176, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.j1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7711, 942, 4369, 8702, 7471, 8651, 3567, 8308], 'generators': [265, 176, 64, 4, 352], 'label': '704.293.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110650091
    {'ambient': '704.293', 'aut_centralizer_order': 28160, 'aut_label': '176.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1', '88.c1.a1', '88.d1.a1', '88.e1.a1', '88.f1.a1', '88.g1.a1', '88.h1.a1'], 'contains': ['352.a1.a1', '352.b1.a1', '352.c1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2548, 5890, 5243, 3882, 3392, 4538, 5329, 4195], 'generators': [4, 352], 'label': '704.293.176.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '176.a1.a1', 'normal_contained_in': ['16.a1.a1', '88.a1.a1'], 'normal_contains': ['352.b1.a1', '352.c1.a1', '352.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.a1.a1', 'projective_image': '176.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '176.31', 'quotient_action_kernel_order': 176, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650092
    {'ambient': '704.293', 'aut_centralizer_order': 14080, 'aut_label': '176.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '88.a1.a1', '88.b1.a1', '88.b1.b1'], 'contains': ['352.b1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7069, 3801, 4049, 7471, 7158, 5756, 4134, 6494], 'generators': [180], 'label': '704.293.176.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.b1.a1', 'normal_contained_in': ['16.c1.a1', '88.a1.a1', '88.b1.a1', '88.b1.b1'], 'normal_contains': ['352.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.b1.a1', 'projective_image': '352.73', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.3', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650093
    {'ambient': '704.293', 'aut_centralizer_order': 14080, 'aut_label': '176.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '88.a1.a1', '88.j1.a1', '88.k1.a1', '88.l1.a1'], 'contains': ['352.b1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9237, 4829, 4785, 4820, 8120, 5168, 5800, 5373], 'generators': [176], 'label': '704.293.176.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.c1.a1', 'normal_contained_in': ['16.d1.a1', '88.a1.a1'], 'normal_contains': ['352.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.c1.a1', 'projective_image': '352.73', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.7', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650094
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '176.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '88.c1.a1', '88.i1.a1', '88.i1.b1'], 'contains': ['352.a1.a1', '352.d1.a1', '352.d1.b1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4773, -1, 886, -1, 5331, -1, 1488, -1], 'generators': [265, 356], 'label': '704.293.176.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '176.d1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650095
    {'ambient': '704.293', 'aut_centralizer_order': 640, 'aut_label': '176.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.e1.a1', '88.i1.a1'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2814, -1, 1757, -1, 3865, -1, 2500, -1], 'generators': [531], 'label': '704.293.176.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '176.e1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650096
    {'ambient': '704.293', 'aut_centralizer_order': 640, 'aut_label': '176.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '88.e1.a1', '88.i1.b1'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2814, -1, 1549, -1, 3865, -1, 2314, -1], 'generators': [179], 'label': '704.293.176.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '176.e1.b1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650097
    {'ambient': '704.293', 'aut_centralizer_order': 320, 'aut_label': '176.f1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '88.g1.a1', '88.i1.a1', '88.i1.b1'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [3303, -1, 1342, -1, 4464, -1, 1900, -1], 'generators': [10], 'label': '704.293.176.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '176.f1.a1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110650098
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '176.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '88.b1.a1', '88.c1.a1', '88.j1.a1'], 'contains': ['352.b1.a1', '352.d1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7515, -1, 3181, -1, 6656, -1, 3706, -1], 'generators': [265, 352], 'label': '704.293.176.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '176.g1.a1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650099
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '176.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.b1', '88.b1.b1', '88.c1.a1', '88.j1.a1'], 'contains': ['352.b1.a1', '352.d1.b1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7515, -1, 3426, -1, 6656, -1, 3494, -1], 'generators': [441, 352], 'label': '704.293.176.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '88.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '176.g1.b1', 'projective_image': '352.73', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110650100
    {'ambient': '704.293', 'aut_centralizer_order': 3520, 'aut_label': '176.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '88.c1.a1'], 'contains': ['352.c1.a1', '352.d1.a1', '352.d1.b1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5057, -1, 1121, -1, 5573, -1, 1701, -1], 'generators': [265, 4], 'label': '704.293.176.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '176.h1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}