Abstract group data - 704.309

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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, 20, 10, 10, 20, 2, 20], 'aut_gens': [[1, 2, 8], [181, 258, 188], [353, 258, 104], [181, 566, 168], [533, 434, 328], [357, 162, 684], [5, 134, 492], [533, 626, 204], [181, 450, 348], [177, 466, 136]], 'aut_group': None, 'aut_hash': 7247618788880966071, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 28160, 'aut_permdeg': 60, 'aut_perms': [3250247904073612543727379462303901558271728645865527398982786825052982982625040247, 1104433979169243654470960445809877283230978108362370267672350680410054248120772885, 1734135803599293489143985224348127470229418265194774491574795660268564617156468043, 3604893540598716717356758731382498216342432504426399695549421671897951555717820774, 227673891833124999356950249770042803527318408126455309110151030664678272121488050, 8156571182762767759403653358192184208632030985051842460485312598903291499188722801, 1766754606095871162213862651584158318489388244877578288049526759547592516911696731, 3661596005649549983025254043280556476633436685647402188820332674675263646102328870, 4394891294419574346574159611511792844297494392803515867220398195049616697837547597], 'aut_phi_ratio': 88.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 8, 1, 1], [2, 22, 2, 1], [4, 2, 1, 2], [4, 4, 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, 8, 1], [2, 22, 2], [4, 2, 2], [4, 4, 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': 309, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 8, 1, 1], [2, 22, 1, 2], [4, 2, 1, 2], [4, 4, 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]], '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': 309, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 44, 'inner_gen_orders': [2, 2, 44], 'inner_gens': [[1, 178, 188], [529, 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': '704.309', 'linC_count': 80, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 32, 'linQ_dim': 18, 'linQ_dim_count': 32, 'linR_count': 30, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D22.SD16', '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': 24, 'number_normal_subgroups': 39, 'number_subgroup_autclasses': 106, 'number_subgroup_classes': 114, 'number_subgroups': 896, 'old_label': None, 'order': 704, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 55], [4, 232], [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': [0, 528, 528, 0, 0], 'outer_gens': [[1, 674, 168], [181, 566, 168], [533, 242, 520], [357, 674, 172], [357, 258, 104]], 'outer_group': '160.238', 'outer_hash': 238, 'outer_nilpotent': True, 'outer_order': 160, 'outer_permdeg': 160, 'outer_perms': [268715028298003007874367537368467409839123552340989021961420988461835974469316960791364872042960670188948536742650064272321697224785781135322406337780652127067225853817672333420452281449236993747924780031389342154015327246189566609535626156931022837423545175201061642054537639379339277, 6097278736991172382855819453866008833022467637256547719942229948977153833963309121684548286211672241351796190102562213077566782696538599200299934251803016523208567049138569045729837157546510774263349881945635633855452511339776460125637136977517335519853408007842640367781486048356320, 104443042603482688993932721678612595086077805864287673795575476545586771248016835043192587714501480252913995173462999484502331370516990909108055726978773012128681651300278734800151224910190413688696560274290111278399111329953632884182856801445551995050052823271447663132883540481731096, 107398947386750311789686894410095836554279190433824897251052752578986967580734789789133314804561510521181365279771569552604631044567086788012661684405729448432203633103936664119906163464428541684393918871658480156703892671356170462823746976097932330061931648736082572396086615316680992, 366038419905051340964843120574026090529672180198034989349097412774638920854544861725046792870495681095568176798702029143388723192242886917654050834853691192038803263985147276369912987287205622647762678514617389975237686919116094905710239993174870305479630783069688629614134658251680176], '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, 2], [4, 5], [10, 4], [20, 2], [40, 3]], 'representations': {'PC': {'code': 361797805342042996933298101536802661060000009, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -2, 2, -2, -2, -11, 2493, 36, 5267, 4826, 80, 12884, 12051, 102, 14124, 124, 15693]}, 'Perm': {'d': 27, 'gens': [85272823203247, 420719092418019815375155200, 47257591227343834066329600, 868734544949289919534233600, 1290585557183901584839833600, 868734544928576096010240000, 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_{22}.\\SD_{16}', '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: 140189353
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 309, 'group_order': 704, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140189364
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 309, 'group_order': 704, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 356, 'size': 1}
  • id: 140189375
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 309, 'group_order': 704, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 352, 'size': 1}
  • id: 140189386
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 309, 'group_order': 704, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 4, 'size': 1}
  • id: 140189397
    {'aut_label': '2D', 'centralizer': '8.d1.a1', 'counter': 5, 'group_counter': 309, 'group_order': 704, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 8}
  • id: 140189408
    {'aut_label': '2E', 'centralizer': '22.d1.a1', 'counter': 6, 'group_counter': 309, 'group_order': 704, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 11, 'size': 22}
  • id: 140189419
    {'aut_label': '2E', 'centralizer': '22.d1.a1', 'counter': 7, 'group_counter': 309, 'group_order': 704, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 43, 'size': 22}
  • id: 140189430
    {'aut_label': '4A', 'centralizer': '2.e1.a1', 'counter': 8, 'group_counter': 309, 'group_order': 704, 'label': '4A', 'order': 4, 'powers': [3, 8, 8], 'representative': 180, 'size': 2}
  • id: 140189441
    {'aut_label': '4B', 'centralizer': '2.e1.a1', 'counter': 9, 'group_counter': 309, 'group_order': 704, 'label': '4B', 'order': 4, 'powers': [3, 9, 9], 'representative': 176, 'size': 2}
  • id: 140189354
    {'aut_label': '4C1', 'centralizer': '4.j1.a1', 'counter': 10, 'group_counter': 309, 'group_order': 704, 'label': '4C1', 'order': 4, 'powers': [4, 10, 11], 'representative': 269, 'size': 4}
  • id: 140189355
    {'aut_label': '4C1', 'centralizer': '4.j1.a1', 'counter': 11, 'group_counter': 309, 'group_order': 704, 'label': '4C-1', 'order': 4, 'powers': [4, 11, 10], 'representative': 265, 'size': 4}
  • id: 140189356
    {'aut_label': '4D', 'centralizer': '44.f1.a1', 'counter': 12, 'group_counter': 309, 'group_order': 704, 'label': '4D', 'order': 4, 'powers': [3, 12, 12], 'representative': 319, 'size': 44}
  • id: 140189357
    {'aut_label': '4E1', 'centralizer': '44.g1.a1', 'counter': 13, 'group_counter': 309, 'group_order': 704, 'label': '4E1', 'order': 4, 'powers': [4, 13, 14], 'representative': 130, 'size': 44}
  • id: 140189358
    {'aut_label': '4E1', 'centralizer': '44.g1.a1', 'counter': 14, 'group_counter': 309, 'group_order': 704, 'label': '4E-1', 'order': 4, 'powers': [4, 14, 13], 'representative': 134, 'size': 44}
  • id: 140189359
    {'aut_label': '4F', 'centralizer': '88.g1.a1', 'counter': 15, 'group_counter': 309, 'group_order': 704, 'label': '4F', 'order': 4, 'powers': [2, 15, 15], 'representative': 698, 'size': 88}
  • id: 140189360
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 16, 'group_counter': 309, 'group_order': 704, 'label': '8A1', 'order': 8, 'powers': [9, 17, 16], 'representative': 88, 'size': 4}
  • id: 140189361
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 17, 'group_counter': 309, 'group_order': 704, 'label': '8A-1', 'order': 8, 'powers': [9, 16, 17], 'representative': 616, 'size': 4}
  • id: 140189362
    {'aut_label': '8B1', 'centralizer': '44.j1.a1', 'counter': 18, 'group_counter': 309, 'group_order': 704, 'label': '8B1', 'order': 8, 'powers': [8, 19, 18], 'representative': 343, 'size': 44}
  • id: 140189363
    {'aut_label': '8B1', 'centralizer': '44.j1.a1', 'counter': 19, 'group_counter': 309, 'group_order': 704, 'label': '8B-1', 'order': 8, 'powers': [8, 18, 19], 'representative': 163, 'size': 44}
  • id: 140189365
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 309, 'group_order': 704, 'label': '11A1', 'order': 11, 'powers': [21, 24, 1], 'representative': 64, 'size': 2}
  • id: 140189366
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 309, 'group_order': 704, 'label': '11A2', 'order': 11, 'powers': [23, 20, 1], 'representative': 128, 'size': 2}
  • id: 140189367
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 309, 'group_order': 704, 'label': '11A3', 'order': 11, 'powers': [24, 23, 1], 'representative': 192, 'size': 2}
  • id: 140189368
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 23, 'group_counter': 309, 'group_order': 704, 'label': '11A4', 'order': 11, 'powers': [22, 21, 1], 'representative': 256, 'size': 2}
  • id: 140189369
    {'aut_label': '11A1', 'centralizer': '2.b1.a1', 'counter': 24, 'group_counter': 309, 'group_order': 704, 'label': '11A5', 'order': 11, 'powers': [20, 22, 1], 'representative': 320, 'size': 2}
  • id: 140189370
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 25, 'group_counter': 309, 'group_order': 704, 'label': '22A1', 'order': 22, 'powers': [20, 27, 2], 'representative': 36, 'size': 2}
  • id: 140189371
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 26, 'group_counter': 309, 'group_order': 704, 'label': '22A3', 'order': 22, 'powers': [22, 28, 2], 'representative': 100, 'size': 2}
  • id: 140189372
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 27, 'group_counter': 309, 'group_order': 704, 'label': '22A5', 'order': 22, 'powers': [24, 26, 2], 'representative': 164, 'size': 2}
  • id: 140189373
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 28, 'group_counter': 309, 'group_order': 704, 'label': '22A7', 'order': 22, 'powers': [23, 29, 2], 'representative': 228, 'size': 2}
  • id: 140189374
    {'aut_label': '22A1', 'centralizer': '2.b1.a1', 'counter': 29, 'group_counter': 309, 'group_order': 704, 'label': '22A9', 'order': 22, 'powers': [21, 25, 2], 'representative': 292, 'size': 2}
  • id: 140189376
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 309, 'group_order': 704, 'label': '22B1', 'order': 22, 'powers': [20, 32, 3], 'representative': 32, 'size': 2}
  • id: 140189377
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 309, 'group_order': 704, 'label': '22B3', 'order': 22, 'powers': [22, 33, 3], 'representative': 96, 'size': 2}
  • id: 140189378
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 32, 'group_counter': 309, 'group_order': 704, 'label': '22B5', 'order': 22, 'powers': [24, 31, 3], 'representative': 160, 'size': 2}
  • id: 140189379
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 33, 'group_counter': 309, 'group_order': 704, 'label': '22B7', 'order': 22, 'powers': [23, 34, 3], 'representative': 224, 'size': 2}
  • id: 140189380
    {'aut_label': '22B1', 'centralizer': '2.b1.a1', 'counter': 34, 'group_counter': 309, 'group_order': 704, 'label': '22B9', 'order': 22, 'powers': [21, 30, 3], 'representative': 288, 'size': 2}
  • id: 140189381
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 35, 'group_counter': 309, 'group_order': 704, 'label': '22C1', 'order': 22, 'powers': [24, 37, 4], 'representative': 196, 'size': 2}
  • id: 140189382
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 36, 'group_counter': 309, 'group_order': 704, 'label': '22C3', 'order': 22, 'powers': [23, 38, 4], 'representative': 580, 'size': 2}
  • id: 140189383
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 309, 'group_order': 704, 'label': '22C5', 'order': 22, 'powers': [22, 36, 4], 'representative': 260, 'size': 2}
  • id: 140189384
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 309, 'group_order': 704, 'label': '22C7', 'order': 22, 'powers': [21, 39, 4], 'representative': 644, 'size': 2}
  • id: 140189385
    {'aut_label': '22C1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 309, 'group_order': 704, 'label': '22C9', 'order': 22, 'powers': [20, 35, 4], 'representative': 324, 'size': 2}
  • id: 140189387
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 40, 'group_counter': 309, 'group_order': 704, 'label': '22D1', 'order': 22, 'powers': [21, 44, 5], 'representative': 65, 'size': 8}
  • id: 140189388
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 41, 'group_counter': 309, 'group_order': 704, 'label': '22D-1', 'order': 22, 'powers': [21, 45, 5], 'representative': 641, 'size': 8}
  • id: 140189389
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 42, 'group_counter': 309, 'group_order': 704, 'label': '22D3', 'order': 22, 'powers': [24, 47, 5], 'representative': 193, 'size': 8}
  • id: 140189390
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 43, 'group_counter': 309, 'group_order': 704, 'label': '22D-3', 'order': 22, 'powers': [24, 46, 5], 'representative': 17, 'size': 8}
  • id: 140189391
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 44, 'group_counter': 309, 'group_order': 704, 'label': '22D5', 'order': 22, 'powers': [20, 42, 5], 'representative': 321, 'size': 8}
  • id: 140189392
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 45, 'group_counter': 309, 'group_order': 704, 'label': '22D-5', 'order': 22, 'powers': [20, 43, 5], 'representative': 33, 'size': 8}
  • id: 140189393
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 46, 'group_counter': 309, 'group_order': 704, 'label': '22D7', 'order': 22, 'powers': [22, 49, 5], 'representative': 449, 'size': 8}
  • id: 140189394
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 47, 'group_counter': 309, 'group_order': 704, 'label': '22D-7', 'order': 22, 'powers': [22, 48, 5], 'representative': 257, 'size': 8}
  • id: 140189395
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 48, 'group_counter': 309, 'group_order': 704, 'label': '22D9', 'order': 22, 'powers': [23, 40, 5], 'representative': 577, 'size': 8}
  • id: 140189396
    {'aut_label': '22D1', 'centralizer': '8.d1.a1', 'counter': 49, 'group_counter': 309, 'group_order': 704, 'label': '22D-9', 'order': 22, 'powers': [23, 41, 5], 'representative': 129, 'size': 8}
  • id: 140189398
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 50, 'group_counter': 309, 'group_order': 704, 'label': '44A1', 'order': 44, 'powers': [30, 52, 8], 'representative': 20, 'size': 4}
  • id: 140189399
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 51, 'group_counter': 309, 'group_order': 704, 'label': '44A3', 'order': 44, 'powers': [31, 53, 8], 'representative': 52, 'size': 4}
  • id: 140189400
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 52, 'group_counter': 309, 'group_order': 704, 'label': '44A5', 'order': 44, 'powers': [32, 51, 8], 'representative': 84, 'size': 4}
  • id: 140189401
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 53, 'group_counter': 309, 'group_order': 704, 'label': '44A7', 'order': 44, 'powers': [33, 54, 8], 'representative': 468, 'size': 4}
  • id: 140189402
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 54, 'group_counter': 309, 'group_order': 704, 'label': '44A9', 'order': 44, 'powers': [34, 50, 8], 'representative': 148, 'size': 4}
  • id: 140189403
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 55, 'group_counter': 309, 'group_order': 704, 'label': '44B1', 'order': 44, 'powers': [30, 57, 9], 'representative': 16, 'size': 4}
  • id: 140189404
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 56, 'group_counter': 309, 'group_order': 704, 'label': '44B3', 'order': 44, 'powers': [31, 58, 9], 'representative': 48, 'size': 4}
  • id: 140189405
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 57, 'group_counter': 309, 'group_order': 704, 'label': '44B5', 'order': 44, 'powers': [32, 56, 9], 'representative': 80, 'size': 4}
  • id: 140189406
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 58, 'group_counter': 309, 'group_order': 704, 'label': '44B7', 'order': 44, 'powers': [33, 59, 9], 'representative': 112, 'size': 4}
  • id: 140189407
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 59, 'group_counter': 309, 'group_order': 704, 'label': '44B9', 'order': 44, 'powers': [34, 55, 9], 'representative': 144, 'size': 4}
  • id: 140189409
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 60, 'group_counter': 309, 'group_order': 704, 'label': '44C1', 'order': 44, 'powers': [35, 64, 10], 'representative': 9, 'size': 8}
  • id: 140189410
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 61, 'group_counter': 309, 'group_order': 704, 'label': '44C-1', 'order': 44, 'powers': [35, 65, 11], 'representative': 13, 'size': 8}
  • id: 140189411
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 62, 'group_counter': 309, 'group_order': 704, 'label': '44C3', 'order': 44, 'powers': [36, 66, 11], 'representative': 25, 'size': 8}
  • id: 140189412
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 63, 'group_counter': 309, 'group_order': 704, 'label': '44C-3', 'order': 44, 'powers': [36, 67, 10], 'representative': 201, 'size': 8}
  • id: 140189413
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 64, 'group_counter': 309, 'group_order': 704, 'label': '44C5', 'order': 44, 'powers': [37, 63, 10], 'representative': 41, 'size': 8}
  • id: 140189414
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 65, 'group_counter': 309, 'group_order': 704, 'label': '44C-5', 'order': 44, 'powers': [37, 62, 11], 'representative': 45, 'size': 8}
  • id: 140189415
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 66, 'group_counter': 309, 'group_order': 704, 'label': '44C7', 'order': 44, 'powers': [38, 69, 11], 'representative': 57, 'size': 8}
  • id: 140189416
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 67, 'group_counter': 309, 'group_order': 704, 'label': '44C-7', 'order': 44, 'powers': [38, 68, 10], 'representative': 585, 'size': 8}
  • id: 140189417
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 68, 'group_counter': 309, 'group_order': 704, 'label': '44C9', 'order': 44, 'powers': [39, 60, 10], 'representative': 73, 'size': 8}
  • id: 140189418
    {'aut_label': '44C1', 'centralizer': '8.e1.a1', 'counter': 69, 'group_counter': 309, 'group_order': 704, 'label': '44C-9', 'order': 44, 'powers': [39, 61, 11], 'representative': 77, 'size': 8}
  • id: 140189420
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 70, 'group_counter': 309, 'group_order': 704, 'label': '88A1', 'order': 88, 'powers': [55, 74, 16], 'representative': 8, 'size': 4}
  • id: 140189421
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 71, 'group_counter': 309, 'group_order': 704, 'label': '88A-1', 'order': 88, 'powers': [55, 75, 17], 'representative': 360, 'size': 4}
  • id: 140189422
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 72, 'group_counter': 309, 'group_order': 704, 'label': '88A3', 'order': 88, 'powers': [56, 82, 16], 'representative': 24, 'size': 4}
  • id: 140189423
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 73, 'group_counter': 309, 'group_order': 704, 'label': '88A-3', 'order': 88, 'powers': [56, 83, 17], 'representative': 204, 'size': 4}
  • id: 140189424
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 74, 'group_counter': 309, 'group_order': 704, 'label': '88A5', 'order': 88, 'powers': [57, 86, 17], 'representative': 40, 'size': 4}
  • id: 140189425
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 75, 'group_counter': 309, 'group_order': 704, 'label': '88A-5', 'order': 88, 'powers': [57, 87, 16], 'representative': 392, 'size': 4}
  • id: 140189426
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 76, 'group_counter': 309, 'group_order': 704, 'label': '88A7', 'order': 88, 'powers': [58, 78, 17], 'representative': 56, 'size': 4}
  • id: 140189427
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 77, 'group_counter': 309, 'group_order': 704, 'label': '88A-7', 'order': 88, 'powers': [58, 79, 16], 'representative': 648, 'size': 4}
  • id: 140189428
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 78, 'group_counter': 309, 'group_order': 704, 'label': '88A9', 'order': 88, 'powers': [59, 71, 16], 'representative': 72, 'size': 4}
  • id: 140189429
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 79, 'group_counter': 309, 'group_order': 704, 'label': '88A-9', 'order': 88, 'powers': [59, 70, 17], 'representative': 424, 'size': 4}
  • id: 140189431
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 80, 'group_counter': 309, 'group_order': 704, 'label': '88A13', 'order': 88, 'powers': [59, 89, 17], 'representative': 104, 'size': 4}
  • id: 140189432
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 81, 'group_counter': 309, 'group_order': 704, 'label': '88A-13', 'order': 88, 'powers': [59, 88, 16], 'representative': 456, 'size': 4}
  • id: 140189433
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 82, 'group_counter': 309, 'group_order': 704, 'label': '88A15', 'order': 88, 'powers': [58, 81, 17], 'representative': 232, 'size': 4}
  • id: 140189434
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 83, 'group_counter': 309, 'group_order': 704, 'label': '88A-15', 'order': 88, 'powers': [58, 80, 16], 'representative': 584, 'size': 4}
  • id: 140189435
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 84, 'group_counter': 309, 'group_order': 704, 'label': '88A17', 'order': 88, 'powers': [57, 73, 16], 'representative': 136, 'size': 4}
  • id: 140189436
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 85, 'group_counter': 309, 'group_order': 704, 'label': '88A-17', 'order': 88, 'powers': [57, 72, 17], 'representative': 396, 'size': 4}
  • id: 140189437
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 86, 'group_counter': 309, 'group_order': 704, 'label': '88A19', 'order': 88, 'powers': [56, 76, 16], 'representative': 200, 'size': 4}
  • id: 140189438
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 87, 'group_counter': 309, 'group_order': 704, 'label': '88A-19', 'order': 88, 'powers': [56, 77, 17], 'representative': 28, 'size': 4}
  • id: 140189439
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 88, 'group_counter': 309, 'group_order': 704, 'label': '88A21', 'order': 88, 'powers': [55, 84, 17], 'representative': 12, 'size': 4}
  • id: 140189440
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 89, 'group_counter': 309, '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: 12862391
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1a', '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: 12862402
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1b', '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: 12862408
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1c', '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: 12862409
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1d', '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: 12862410
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1e', '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: 12862411
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1f', '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: 12862412
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1g', '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: 12862413
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.1h', '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: 12862414
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, -2, -2, -2, -2, 0, 0, 2, 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: 12862392
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 2, 2, -2, -2, 0, 0, -2, 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: 12862393
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2c', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, -4, 4, 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: 12862394
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2d', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 4, -4, 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: 12862395
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2e', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, -4, 4, 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: 12862396
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2f', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 4, -4, 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: 12862403
    {'cdim': 4, 'counter': 20, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.4a', '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: 12862397
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2g', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 0, 0, 10, 10, 10, 10, 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: 12862398
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2h', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, 0, 0, 10, 10, -10, -10, 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: 12862399
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2i', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, -10, 0, 0, 10, 10, 10, 10, 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: 12862400
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2j', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 10, 0, 0, 10, 10, -10, -10, 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: 12862404
    {'cdim': 4, 'counter': 21, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.4b', 'multiplicity': 5, 'nt': [44, 12], 'qdim': 20, 'qvalues': [20, 20, 20, 20, 0, 0, 0, -20, -20, 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: 12862405
    {'cdim': 4, 'counter': 22, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.4c', 'multiplicity': 5, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, -20, -20, 20, 0, 0, 0, -20, 20, 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: 12862401
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.2k', 'multiplicity': 20, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, -40, -40, 40, 0, 0, 0, 40, -40, 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: 12862406
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.4d', '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: 12862407
    {'cdim': 4, 'counter': 24, 'faithful': False, 'group': '704.309', 'group_order': 704, 'image': None, 'label': '704.309.4e', '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: 29858141
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 704, 'label': '704.309.1a', '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: 29858152
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 352, 'label': '704.309.1b', '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: 29858163
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 352, 'label': '704.309.1c', '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: 29858174
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 352, 'label': '704.309.1d', '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: 29858185
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 352, 'label': '704.309.1e', '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: 29858196
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 352, 'label': '704.309.1f', '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: 29858207
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 352, 'label': '704.309.1g', '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: 29858218
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 352, 'label': '704.309.1h', '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: 29858229
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 176, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 88, 'label': '704.309.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[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: 29858142
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 176, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 88, 'label': '704.309.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[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: 29858143
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 88, 'counter': 11, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.b1', 'kernel_order': 44, 'label': '704.309.2c1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 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]], [[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: 29858144
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 88, 'counter': 12, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.b1', 'kernel_order': 44, 'label': '704.309.2c2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 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]], [[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: 29858145
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 88, 'counter': 13, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 44, 'label': '704.309.2d1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 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]], [[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: 29858146
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 88, 'counter': 14, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 44, 'label': '704.309.2d2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 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]], [[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: 29858147
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 15, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1.a1', 'kernel_order': 44, 'label': '704.309.2e1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 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]], [[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: 29858148
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 16, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1.a1', 'kernel_order': 44, 'label': '704.309.2e2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 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]], [[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: 29858149
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 176, 'counter': 17, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 44, 'label': '704.309.2f1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[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]], [[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, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29858150
    {'center': '4.c1.a1', 'center_index': 4, 'center_order': 176, 'counter': 18, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 44, 'label': '704.309.2f2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[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]], [[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, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29858151
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.309.2g1', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29858153
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.309.2g2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29858154
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.309.2g3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 29858155
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.309.2g4', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29858156
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.309.2g5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29858157
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.309.2h1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 29858158
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.309.2h2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 29858159
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.309.2h3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]]]}
  • id: 29858160
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.309.2h4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 29858161
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.309.2h5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]]]}
  • id: 29858162
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.309.2i1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29858164
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.309.2i2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29858165
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.309.2i3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29858166
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.309.2i4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29858167
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.309.2i5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29858168
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.309.2j1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29858169
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.309.2j2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 29858170
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.309.2j3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]]]}
  • id: 29858171
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.309.2j4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29858172
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.309.2j5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 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, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29858173
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 39, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k1', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29858183
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 48, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k10', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29858184
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 49, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k11', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 3], [-1, -3]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 7], [-1, -7]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]]]}
  • id: 29858186
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  • id: 29858187
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  • id: 29858188
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  • id: 29858189
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  • id: 29858190
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  • id: 29858191
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 55, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k17', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 29858192
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 56, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k18', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]]]}
  • id: 29858193
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 57, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k19', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]]]}
  • id: 29858175
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 40, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k2', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 29858194
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 58, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k20', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]]]}
  • id: 29858176
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 41, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k3', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29858177
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 42, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k4', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 7], [1, -7]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 29858178
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 43, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k5', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29858179
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 44, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k6', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 7], [-1, -7]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, -7]], [[1, 9], [1, -9]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 29858180
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 45, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k7', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, 16]], [[-1, 6], [-1, 16]], [[1, 10], [1, 12]], [[-1, 10], [-1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[-1, 8], [-1, 14]], [[1, 8], [1, 14]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29858181
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 46, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k8', 'nt': [88, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 11]], [[-2, 11]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[-1, 4], [-1, 18]], [[1, 4], [1, 18]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 7], [1, -7]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 7], [1, -7]], [[-1, 9], [-1, -9]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 29858182
    {'center': '44.b1.a1', 'center_index': 44, 'center_order': 16, 'counter': 47, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.30', 'image_order': 176, 'indicator': 0, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.309.2k9', 'nt': [88, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 11]], [[2, 11]], [[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, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, 12]], [[1, 10], [1, 12]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10], [1, 12], [-1, 14], [1, 16], [-1, 18]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10], [-1, 12], [1, 14], [-1, 16], [1, 18]], [[1, 4], [1, 18]], [[-1, 4], [-1, 18]], [[-1, 6], [-1, 16]], [[1, 6], [1, 16]], [[1, 8], [1, 14]], [[-1, 8], [-1, 14]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[1, 3], [1, -3]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 7], [1, -7]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 7], [1, -7]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]]]}
  • id: 29858195
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 44, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.c1.a1', 'kernel_order': 22, 'label': '704.309.4a', '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: 29858197
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.309.4b1', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 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]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[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]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-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: 29858198
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.309.4b2', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 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]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[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]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-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: 29858199
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.309.4b3', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 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]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[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]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-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: 29858200
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.309.4b4', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 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]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[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]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-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: 29858201
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.309.4b5', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 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]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[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]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-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: 29858202
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.309.4c1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 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]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-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]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[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: 29858203
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.309.4c2', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 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]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[-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]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[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: 29858204
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.309.4c3', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 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]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-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]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 4], [-2, -4]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[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: 29858205
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.309.4c4', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 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]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-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]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[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: 29858206
    {'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': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '176.32', 'image_order': 176, 'indicator': -1, 'kernel': '176.c1.a1', 'kernel_order': 4, 'label': '704.309.4c5', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 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]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-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]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[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: 29858208
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 70, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d1', '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]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 16], [-2, -16]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[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, 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, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 7], [1, 15], [1, 29], [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, 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, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-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, 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, 9], [1, 13], [1, 31], [-1, 35]], [[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: 29858217
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d10', '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]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 12], [2, -12]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[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, 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, 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, 5], [1, 17], [1, 27], [-1, 39]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 5], [1, 17], [1, 27], [-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, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-1, 37]], [[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, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 5], [-1, 17], [-1, 27], [1, 39]], [[-1, 7], [-1, 15], [-1, 29], [-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, 7], [1, 15], [1, 29], [1, 37]]]}
  • id: 29858209
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d2', '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]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 16], [-2, -16]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[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, 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, 7], [1, 15], [1, 29], [1, 37]], [[-1, 7], [-1, 15], [-1, 29], [-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, 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, 5], [1, 17], [1, 27], [-1, 39]], [[1, 7], [1, 15], [1, 29], [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, 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, 9], [-1, 13], [-1, 31], [1, 35]], [[-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: 29858210
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d3', '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]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-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, 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, 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, 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, 5], [1, 17], [1, 27], [-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, 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, 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, 5], [-1, 17], [-1, 27], [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, 5], [1, 17], [1, 27], [-1, 39]]]}
  • id: 29858211
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d4', '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]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-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, 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, 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, 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, 5], [-1, 17], [-1, 27], [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, 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, 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, 5], [1, 17], [1, 27], [-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, 5], [-1, 17], [-1, 27], [1, 39]]]}
  • id: 29858212
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d5', '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]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-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, 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, 9], [-1, 13], [-1, 31], [1, 35]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[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, 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, 9], [-1, 13], [-1, 31], [1, 35]], [[-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, 5], [-1, 17], [-1, 27], [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, 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: 29858213
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d6', '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]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-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, 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, 9], [1, 13], [1, 31], [-1, 35]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-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, 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, 9], [1, 13], [1, 31], [-1, 35]], [[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, 5], [1, 17], [1, 27], [-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, 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: 29858214
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 76, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d7', '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]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[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, 7], [-1, 15], [-1, 29], [-1, 37]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[-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, 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, 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, 5], [1, 17], [1, 27], [-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, 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, 5], [1, 9], [-1, 13], [1, 17], [-1, 19], [-1, 21], [-1, 29], [1, 33], [-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: 29858215
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d8', '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]], [[2, 11], [2, 33]], [[-2, 11], [-2, 33]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[2, 4], [2, -4]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[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, 7], [1, 15], [1, 29], [1, 37]], [[-1, 9], [1, 13], [1, 31], [-1, 35]], [[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, 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, 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, 5], [-1, 17], [-1, 27], [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, 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, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [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: 29858216
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [32, 0, 240, 0, 280, 0, 112, 0, 18, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.108', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.309.4d9', '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]], [[-2, 11], [-2, 33]], [[2, 11], [2, 33]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 12], [2, -12]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[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, 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, 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, 5], [-1, 17], [-1, 27], [1, 39]], [[1, 9], [-1, 13], [-1, 31], [1, 35]], [[1, 5], [-1, 17], [-1, 27], [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, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [1, 19], [1, 21], [1, 29], [-1, 33], [1, 37]], [[-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, 9], [1, 13], [1, 31], [-1, 35]], [[-1, 5], [1, 17], [1, 27], [-1, 39]], [[1, 7], [1, 15], [1, 29], [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, 7], [-1, 15], [-1, 29], [-1, 37]]]}
  • id: 29858219
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e1', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-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, 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, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [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, 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, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-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, 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, 9], [1, 13], [1, 31], [1, 35]], [[-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: 29858228
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 89, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e10', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-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, 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, 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, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-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, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-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, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [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, 7], [1, 15], [1, 29], [-1, 37]]]}
  • id: 29858220
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e2', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-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, 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, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-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, 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, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [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, 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, 9], [-1, 13], [-1, 31], [-1, 35]], [[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: 29858221
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 82, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e3', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[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, 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, 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, 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, 5], [-1, 17], [-1, 27], [-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, 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, 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, 5], [-1, 17], [-1, 27], [-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, 5], [1, 17], [1, 27], [1, 39]]]}
  • id: 29858222
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 83, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e4', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 16], [2, -16]], [[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, 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, 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, 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, 5], [1, 17], [1, 27], [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, 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, 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, 5], [1, 17], [1, 27], [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, 5], [-1, 17], [-1, 27], [-1, 39]]]}
  • id: 29858223
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  • id: 29858224
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 85, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e6', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[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, 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, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-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, 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, 9], [1, 13], [1, 31], [1, 35]], [[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, 5], [1, 17], [1, 27], [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, 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: 29858225
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 86, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e7', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-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, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[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, 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, 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, 5], [-1, 17], [-1, 27], [-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, 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, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-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: 29858226
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 87, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e8', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 20], [-2, -20]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 8], [2, -8]], [[-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, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-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, 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, 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, 5], [1, 17], [1, 27], [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, 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, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [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: 29858227
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 88, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.309', 'group_counter': 309, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.c1.a1', 'kernel_order': 2, 'label': '704.309.4e9', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 4], [-2, -4]], [[-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, 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, 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, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [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, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[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, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-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, 7], [-1, 15], [-1, 29], [1, 37]]]}
• 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: 110652301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 704, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 22, 'label': '704.309.1.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': '704.309', 'subgroup_hash': 309, 'subgroup_order': 704, 'subgroup_tex': 'D_{22}.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110652327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.133', 'subgroup_hash': 133, 'subgroup_order': 352, 'subgroup_tex': 'C_{44}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 352, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': True, '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: 110652349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.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': ['C1'], 'split': True, '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: 110652360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.86', 'subgroup_hash': 86, 'subgroup_order': 352, 'subgroup_tex': 'D_{22}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 352, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.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': '352.26', 'subgroup_hash': 26, 'subgroup_order': 352, 'subgroup_tex': 'D_{22}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110652382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.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': '352.14', 'subgroup_hash': 14, 'subgroup_order': 352, 'subgroup_tex': 'C_{44}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110652393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.2.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: 110652404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.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': ['C2'], '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: 110652302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '176.28', 'subgroup_hash': 28, 'subgroup_order': 176, 'subgroup_tex': 'C_4\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '176.21', 'subgroup_hash': 21, 'subgroup_order': 176, 'subgroup_tex': 'C_4:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110652319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.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: 110652320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.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: 110652321
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 176, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.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: 110652322
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.4.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: 110652323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.4.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': '176.36', 'subgroup_hash': 36, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.4.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: 110652325
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '176.28', 'subgroup_hash': 28, 'subgroup_order': 176, 'subgroup_tex': 'C_4\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '176.11', 'subgroup_hash': 11, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 88, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.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': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652329
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 88, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.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: 110652330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 88, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.8.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: 110652331
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 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: 110652332
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110652333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.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: 110652335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.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': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.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': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 44, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 44, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.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: 110652340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652342
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '88.1', 'subgroup_hash': 1, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110652343
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 44, 'counter': 34, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.n1.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: 110652344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1.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': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.8.o1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1.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': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '704.309.11.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': '64.162', 'subgroup_hash': 162, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 2}
  • id: 110652347
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 44, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.16.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: 110652348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 44, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 44, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652351
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.16.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': '16.13', '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: 110652352
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.16.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: 110652353
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.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: 110652354
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 22, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.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: 110652355
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.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: 110652356
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 22, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652357
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652358
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 22, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, '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': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110652361
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 50, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.16.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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: 110652362
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.16.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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: 110652363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 32, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.22.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': True, '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: 110652364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.22.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': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.22.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: 110652366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.22.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': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.22.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110652368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.22.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': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.22.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: 110652370
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 59, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.32.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: 110652372
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.32.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': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', '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: 110652373
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.32.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: 110652374
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 11, 'counter': 62, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.32.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: 110652375
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 11, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652376
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 11, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.32.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 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': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110652377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 16, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.44.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: 110652378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 16, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.44.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: 110652379
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 16, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.44.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: 110652380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.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: 110652383
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652384
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.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: 110652386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652387
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110652388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.44.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652389
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 11, 'counter': 76, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '704.309.64.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': '64.162', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 162, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', '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: 110652390
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 8, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.88.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: 110652391
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.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': 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: 110652392
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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: 110652394
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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: 110652395
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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: 110652396
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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: 110652397
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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: 110652398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.h1.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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: 110652402
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652403
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652405
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.88.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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110652406
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.88.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.n1.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: 110652407
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.o1.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: 110652408
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.88.o1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.o1.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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110652409
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 4, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.309.176.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: 110652410
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 95, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.176.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': '176.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{44}:C_2', '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: 110652411
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.176.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: 110652412
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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: 110652413
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110652414
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110652303
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.176.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: 110652304
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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: 110652305
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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: 110652306
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.176.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: 110652307
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110652308
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.309.176.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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110652309
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.176.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.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': 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: 110652310
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.176.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.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': 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: 110652311
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 108, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.352.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: 110652312
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 109, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.352.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': '352.78', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 78, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}.D_4', '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: 110652314
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 110, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.309.352.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: 110652315
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.352.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: 110652316
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.352.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.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': 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: 110652317
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.309.352.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.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': 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: 110652318
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.309', 'ambient_counter': 309, 'ambient_order': 704, 'ambient_tex': 'D_{22}.\\SD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 1, 'counter': 114, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '704.309.704.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': '704.309', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 309, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 704, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{22}.\\SD_{16}', '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: 110652401
    {'ambient': '704.309', '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': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '44.a1.a1'], 'contains': ['176.c1.a1', '176.g1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1246, -1, 4295, -1, 2031, -1, 7648, -1], 'generators': [1, 176], 'label': '704.309.88.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '88.j1.a1', 'projective_image': '352.78', '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': '8.3'}
  • id: 110652301
    {'ambient': '704.309', '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': [1858, 5051, 7151, 5335, 2902, 5002, 7311, 4868], 'generators': [1, 352, 88, 4, 2, 64, 176], 'label': '704.309.1.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: 110652302
    {'ambient': '704.309', 'aut_centralizer_order': 32, 'aut_label': '4.b1', '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.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.k1.a1', '8.l1.a1', '44.f1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4162, 873, 5467, 9280, 3981, 871, 5343, 872], 'generators': [11, 176, 352, 4, 64], 'label': '704.309.4.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', '8.b1.a1', '8.c1.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': '88.11'}
  • id: 110652303
    {'ambient': '704.309', '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': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '88.g1.a1', '88.h1.a1', '88.h1.b1'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [7247, -1, 847, -1, 6641, -1, 534, -1], 'generators': [10], 'label': '704.309.176.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.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': '2.1'}
  • id: 110652304
    {'ambient': '704.309', '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': '8.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '88.b1.a1', '88.i1.a1', '88.j1.a1'], 'contains': ['352.b1.a1', '352.d1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2555, -1, 3318, -1, 3435, -1, 6089, -1], 'generators': [1, 352], 'label': '704.309.176.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '176.g1.a1', 'projective_image': '352.78', '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: 110652305
    {'ambient': '704.309', 'aut_centralizer_order': 640, 'aut_label': '176.h1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '22.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '88.c1.a1', '88.k1.a1', '88.l1.a1'], 'contains': ['352.b1.a1', '352.e1.a1', '352.e1.b1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4808, -1, 3621, -1, 5483, -1, 4490, -1], 'generators': [11, 352], 'label': '704.309.176.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '176.h1.a1', 'projective_image': '352.78', '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'}
  • id: 110652306
    {'ambient': '704.309', 'aut_centralizer_order': 640, 'aut_label': '176.i1', '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.i1.a1', '88.e1.a1', '88.k1.a1', '88.l1.a1'], 'contains': ['352.b1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4278, -1, 4862, -1, 4130, -1, 5900, -1], 'generators': [187], 'label': '704.309.176.i1.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.i1.a1', 'projective_image': '352.78', '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: 110652307
    {'ambient': '704.309', 'aut_centralizer_order': 3520, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '8.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '88.b1.a1'], 'contains': ['352.c1.a1', '352.d1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6020, -1, 2766, -1, 5701, -1, 2715, -1], 'generators': [1, 4], 'label': '704.309.176.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.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: 110652308
    {'ambient': '704.309', 'aut_centralizer_order': 640, 'aut_label': '176.k1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '22.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '88.c1.a1', '88.o1.a1', '88.o1.a2'], 'contains': ['352.c1.a1', '352.e1.a1', '352.e1.b1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [9231, -1, 3864, -1, 7773, -1, 2514, -1], 'generators': [11, 4], 'label': '704.309.176.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.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': '1.1'}
  • id: 110652309
    {'ambient': '704.309', 'aut_centralizer_order': 3520, 'aut_label': '176.l1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '88.d1.a1', '88.o1.a1', '88.o1.a2'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9890, -1, 9339, -1, 8572, -1, 3079, -1], 'generators': [269], 'label': '704.309.176.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '176.l1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.l1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652310
    {'ambient': '704.309', 'aut_centralizer_order': 320, 'aut_label': '176.m1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '88.f1.a1', '88.o1.a1', '88.o1.a2'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [9663, -1, 9553, -1, 8849, -1, 2903, -1], 'generators': [2], 'label': '704.309.176.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '176.m1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652311
    {'ambient': '704.309', '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': [7247, 3219, 1319, 6816, 6641, 4166, 1238, 3604], 'generators': [356], 'label': '704.309.352.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: 110652312
    {'ambient': '704.309', '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.h1.a1', '176.i1.a1'], 'contains': ['704.a1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4084, 3977, 4496, 5859, 4023, 5302, 5802, 4742], 'generators': [352], 'label': '704.309.352.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.b1.a1', 'normal_contained_in': ['32.b1.a1', '176.a1.a1', '176.c1.a1', '176.b1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '352.b1.a1', 'projective_image': '352.78', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.78', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652313
    {'ambient': '704.309', 'aut_centralizer_order': 176, 'aut_label': '4.c1', '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.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '44.b1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3243, 7302, 8274, 4943, 4559, 8581, 6441, 8579], 'generators': [269, 64, 4, 176, 352], 'label': '704.309.4.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.b1.a1', '44.b1.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': '16.11'}
  • id: 110652314
    {'ambient': '704.309', '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.j1.a1', '176.k1.a1', '176.l1.a1', '176.m1.a1'], 'contains': ['704.a1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9231, 2650, 5307, 7716, 7547, 4734, 2715, 4173], 'generators': [4], 'label': '704.309.352.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: 110652315
    {'ambient': '704.309', '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': '8.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '176.d1.a1', '176.g1.a1', '176.j1.a1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6020, -1, 2463, -1, 5701, -1, 2463, -1], 'generators': [1], 'label': '704.309.352.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '352.d1.a1', 'projective_image': '704.309', '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: 110652316
    {'ambient': '704.309', 'aut_centralizer_order': 640, 'aut_label': '352.e1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '22.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '176.e1.a1', '176.h1.a1', '176.k1.a1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7489, -1, 2676, -1, 7081, -1, 2287, -1], 'generators': [11], 'label': '704.309.352.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '352.e1.a1', 'projective_image': '704.309', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652317
    {'ambient': '704.309', 'aut_centralizer_order': 640, 'aut_label': '352.e1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '22.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '176.e1.b1', '176.h1.a1', '176.k1.a1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7489, -1, 2890, -1, 7081, -1, 1896, -1], 'generators': [363], 'label': '704.309.352.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '352.e1.b1', 'projective_image': '704.309', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.e1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652318
    {'ambient': '704.309', '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.e1.a1', '352.e1.b1'], 'contains': [], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7163, 2935, 2676, 7046, 6748, 4450, 2287, 3889], 'generators': [], 'label': '704.309.704.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': '704.309', '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: 110652319
    {'ambient': '704.309', '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.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.f1.a1', '44.h1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2376, 5122, 8739, 6228, 4977, 3820, 7225, 3225], 'generators': [2, 4, 352, 176, 64], 'label': '704.309.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.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: 110652320
    {'ambient': '704.309', '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.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.g1.a1', '44.i1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2750, 6063, 6044, 3658, 3504, 6059, 5780, 2286], 'generators': [10, 356, 352, 176, 64], 'label': '704.309.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.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: 110652321
    {'ambient': '704.309', '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.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.n1.a1', '44.c1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [229, 8716, 7629, 1154, 1107, 7170, 8678, 4339], 'generators': [4, 64, 176, 88, 352], 'label': '704.309.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.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: 110652322
    {'ambient': '704.309', '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.b1.a1', '8.m1.a1', '44.j1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1030, 3882, 6599, 7512, 630, 2582, 8015, 5752], 'generators': [3, 532, 352, 176, 64], 'label': '704.309.4.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.b1.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: 110652323
    {'ambient': '704.309', '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': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.g1.a1', '8.h1.a1', '8.h1.b1', '44.d1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6848, -1, 1512, -1, 6676, -1, 2140, -1], 'generators': [1, 352, 356, 10, 64], 'label': '704.309.4.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.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': '88.11'}
  • id: 110652324
    {'ambient': '704.309', '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.a1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '8.g1.a1', '44.e1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5273, -1, 2404, -1, 5739, -1, 4607, -1], 'generators': [177, 4, 352, 10, 64], 'label': '704.309.4.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.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: 110652325
    {'ambient': '704.309', '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': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '8.f1.a1', '8.o1.a1', '8.o1.a2', '44.g1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8911, -1, 9624, -1, 8737, -1, 3448, -1], 'generators': [445, 352, 4, 2, 64], 'label': '704.309.4.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': '44.3'}
  • id: 110652326
    {'ambient': '704.309', '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.e1.a1', '8.f1.a1', '44.k1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8167, -1, 9093, -1, 8090, -1, 4905, -1], 'generators': [269, 4, 352, 2, 64], 'label': '704.309.4.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: 110652327
    {'ambient': '704.309', 'aut_centralizer_order': 4, 'aut_label': '2.a1', '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.b1.a1', '4.e1.a1', '4.h1.a1', '4.i1.a1', '22.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3607, 1244, 4149, 5335, 3935, 5002, 5780, 786], 'generators': [1, 64, 176, 356, 10, 352], 'label': '704.309.2.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.e1.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': '176.31'}
  • id: 110652328
    {'ambient': '704.309', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '44.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.h1.a1', '16.k1.a1', '88.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7573, 1528, 2734, 8093, 7720, 2022, 2534, 1362], 'generators': [11, 352, 64, 4], 'label': '704.309.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.b1', '16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110652329
    {'ambient': '704.309', 'aut_centralizer_order': 1408, 'aut_label': '8.b1', '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.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2866, 5122, 6225, 4943, 2713, 4923, 7235, 4339], 'generators': [4, 64, 352, 176], 'label': '704.309.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1.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.d1.a1', '16.c1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110652330
    {'ambient': '704.309', '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.b1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '88.e1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5866, 3021, 5467, 6456, 6013, 3512, 4983, 2878], 'generators': [187, 352, 64, 4], 'label': '704.309.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.b1.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: 110652331
    {'ambient': '704.309', 'aut_centralizer_order': 352, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '8.d1.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.j1.a1', '88.b1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5273, -1, 2074, -1, 5509, -1, 2986, -1], 'generators': [1, 352, 64, 4], 'label': '704.309.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110652332
    {'ambient': '704.309', '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.c1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.l1.a1', '88.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9093, -1, 8116, -1, 8431, -1, 3886, -1], 'generators': [269, 64, 4, 352], 'label': '704.309.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.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: 110652333
    {'ambient': '704.309', 'aut_centralizer_order': 32, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.m1.a1', '88.f1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8531, -1, 8648, -1, 8908, -1, 3448, -1], 'generators': [2, 4, 64, 352], 'label': '704.309.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.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': '44.3'}
  • id: 110652334
    {'ambient': '704.309', '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': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.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': [6603, -1, 1512, -1, 6897, -1, 1735, -1], 'generators': [10, 356, 64, 352], 'label': '704.309.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.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': '88.11'}
  • id: 110652335
    {'ambient': '704.309', 'aut_centralizer_order': 8, 'aut_label': '8.h1', '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.h1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '88.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7096, -1, 373, -1, 7315, -1, 549, -1], 'generators': [1, 356, 64, 10], 'label': '704.309.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.h1.a1', 'projective_image': '352.108', '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': '44.3'}
  • id: 110652336
    {'ambient': '704.309', 'aut_centralizer_order': 8, 'aut_label': '8.h1', '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.h1.a1'], 'contains': ['16.b1.b1', '16.e1.a1', '16.f1.a1', '88.h1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [7096, -1, 933, -1, 7315, -1, 258, -1], 'generators': [353, 356, 64, 10], 'label': '704.309.8.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '8.h1.b1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110652337
    {'ambient': '704.309', 'aut_centralizer_order': 176, 'aut_label': '8.i1', '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.c1.a1', '16.g1.a1', '88.i1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2232, -1, 3362, -1, 1839, -1, 6834, -1], 'generators': [1, 64, 352, 180], 'label': '704.309.8.i1.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.i1.a1', 'projective_image': '352.78', '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': '8.3'}
  • id: 110652338
    {'ambient': '704.309', 'aut_centralizer_order': 44, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.21528', 'aut_weyl_index': 44, 'centralizer': '16.a1.a1', 'complements': ['352.e1.a1', '352.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.f1.a1', '22.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [537, 9127, 7673, 720, 2276, 8786, 7069, 8666], 'generators': [1, 352, 64, 532, 88, 176], 'label': '704.309.2.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.f1.a1', '22.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.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.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110652339
    {'ambient': '704.309', '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', '88.j1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1717, -1, 3850, -1, 2276, -1, 7861, -1], 'generators': [1, 64, 352, 176], 'label': '704.309.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.j1.a1', 'projective_image': '352.78', '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': '8.3'}
  • id: 110652340
    {'ambient': '704.309', 'aut_centralizer_order': 32, 'aut_label': '8.k1', '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.b1.a1'], 'contains': ['16.c1.a1', '16.h1.a1', '16.i1.a1', '88.k1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4309, -1, 4937, -1, 3395, -1, 5646, -1], 'generators': [11, 352, 64, 180], 'label': '704.309.8.k1.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.k1.a1', 'projective_image': '352.78', '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': '44.3'}
  • id: 110652341
    {'ambient': '704.309', '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.b1.a1'], 'contains': ['16.d1.a1', '16.h1.a1', '16.i1.a1', '88.l1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3794, -1, 4449, -1, 3831, -1, 6047, -1], 'generators': [11, 352, 64, 176], 'label': '704.309.8.l1.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.l1.a1', 'projective_image': '352.78', '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: 110652342
    {'ambient': '704.309', 'aut_centralizer_order': 32, 'aut_label': '8.m1', '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.c1.a1', '88.m1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [914, -1, 6643, -1, 135, -1, 8995, -1], 'generators': [3, 352, 64, 532], 'label': '704.309.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.m1.a1', 'projective_image': '352.78', '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: 110652343
    {'ambient': '704.309', 'aut_centralizer_order': 352, 'aut_label': '8.n1', '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.n1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [110, -1, 7629, -1, 411, -1, 9582, -1], 'generators': [88, 176, 352, 64], 'label': '704.309.8.n1.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.n1.a1', 'projective_image': '352.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110652344
    {'ambient': '704.309', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.k1.a1', '16.l1.a1', '16.m1.a1', '88.o1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9607, -1, 9179, -1, 9806, -1, 896, -1], 'generators': [93, 4, 64, 2], 'label': '704.309.8.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.o1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110652345
    {'ambient': '704.309', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.k1.a1', '16.l1.a1', '16.m1.a1', '88.o1.a2'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9607, -1, 9666, -1, 9806, -1, 1297, -1], 'generators': [445, 4, 64, 2], 'label': '704.309.8.o1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.o1.a2', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.a2', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110652346
    {'ambient': '704.309', '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': [1208, -1, 7600, -1, 2726, -1, 8880, -1], 'generators': [1, 2, 88], 'label': '704.309.11.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: 110652347
    {'ambient': '704.309', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.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': [6707, 3021, 4889, 6374, 6711, 3520, 3979, 2973], 'generators': [4, 64, 352], 'label': '704.309.16.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: 110652348
    {'ambient': '704.309', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.h1.a1'], 'contains': ['32.a1.a1', '32.e1.a1', '176.e1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7721, 1782, 1059, 8135, 7779, 2282, 1348, 1275], 'generators': [11, 64, 356], 'label': '704.309.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.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: 110652349
    {'ambient': '704.309', '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': ['352.e1.a1', '352.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.g1.a1', '22.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1537, 2531, 6970, 4010, 1746, 2196, 7555, 6147], 'generators': [1, 64, 4, 176, 2, 352], 'label': '704.309.2.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.d1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.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.c1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110652350
    {'ambient': '704.309', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.h1.b1'], 'contains': ['32.a1.a1', '32.e1.b1', '176.e1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7721, 1782, 1323, 7406, 7779, 2282, 732, 1978], 'generators': [363, 64, 356], 'label': '704.309.16.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': ['8.a1.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: 110652351
    {'ambient': '704.309', 'aut_centralizer_order': 1408, 'aut_label': '16.c1', '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.b1.a1', '8.i1.a1', '8.k1.a1', '8.m1.a1'], 'contains': ['32.b1.a1', '176.b1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2586, 4624, 5263, 4256, 2244, 4513, 7062, 3968], 'generators': [180, 352, 64], 'label': '704.309.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.b1.a1', '176.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '352.78', '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: 110652352
    {'ambient': '704.309', '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.b1.a1', '8.j1.a1', '8.l1.a1', '8.n1.a1'], 'contains': ['32.b1.a1', '176.c1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2310, 5320, 6352, 5344, 2478, 5207, 7277, 4663], 'generators': [176, 352, 64], 'label': '704.309.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.b1.a1', '176.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '352.78', '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: 110652353
    {'ambient': '704.309', '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.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.h1.a1', '8.h1.b1'], 'contains': ['32.a1.a1', '32.d1.a1', '176.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6074, -1, 568, -1, 6276, -1, 1040, -1], 'generators': [1, 64, 356], 'label': '704.309.16.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: 110652354
    {'ambient': '704.309', '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': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.h1.a1', '8.h1.b1'], 'contains': ['32.a1.a1', '176.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7272, -1, 150, -1, 7281, -1, 123, -1], 'generators': [10, 64, 356], 'label': '704.309.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.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': '44.3'}
  • id: 110652355
    {'ambient': '704.309', '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.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.i1.a1', '8.j1.a1'], 'contains': ['32.b1.a1', '32.d1.a1', '176.g1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3794, -1, 2039, -1, 3176, -1, 6089, -1], 'generators': [1, 64, 352], 'label': '704.309.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.g1.a1', 'projective_image': '352.78', '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': '2.1'}
  • id: 110652356
    {'ambient': '704.309', 'aut_centralizer_order': 64, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.a1', '8.l1.a1'], 'contains': ['32.b1.a1', '32.e1.a1', '32.e1.b1', '176.h1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4805, -1, 3131, -1, 4559, -1, 4490, -1], 'generators': [11, 64, 352], 'label': '704.309.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.h1.a1', 'projective_image': '352.78', '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': '22.1'}
  • id: 110652357
    {'ambient': '704.309', 'aut_centralizer_order': 64, 'aut_label': '16.i1', '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.k1.a1', '8.l1.a1'], 'contains': ['32.b1.a1', '176.i1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4238, -1, 4470, -1, 3917, -1, 5744, -1], 'generators': [187, 64, 352], 'label': '704.309.16.i1.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.i1.a1', 'projective_image': '352.78', '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': '44.3'}
  • id: 110652358
    {'ambient': '704.309', 'aut_centralizer_order': 352, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.c1.a1', '32.d1.a1', '176.j1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5562, -1, 2522, -1, 5477, -1, 1874, -1], 'generators': [1, 64, 4], 'label': '704.309.16.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.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': '2.1'}
  • id: 110652359
    {'ambient': '704.309', 'aut_centralizer_order': 64, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.o1.a1', '8.o1.a2'], 'contains': ['32.c1.a1', '32.e1.a1', '32.e1.b1', '176.k1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8638, -1, 3659, -1, 8743, -1, 1566, -1], 'generators': [11, 64, 4], 'label': '704.309.16.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.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': '22.1'}
  • id: 110652360
    {'ambient': '704.309', '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'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.d1.a1', '4.j1.a1', '4.k1.a1', '22.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4162, 5051, 8849, 7602, 4977, 3764, 6301, 3628], 'generators': [269, 64, 176, 4, 2, 352], 'label': '704.309.2.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.d1.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: 110652361
    {'ambient': '704.309', 'aut_centralizer_order': 352, 'aut_label': '16.l1', '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.o1.a1', '8.o1.a2'], 'contains': ['32.c1.a1', '176.l1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9576, -1, 9027, -1, 8980, -1, 2473, -1], 'generators': [269, 4, 64], 'label': '704.309.16.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.l1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110652362
    {'ambient': '704.309', 'aut_centralizer_order': 32, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.o1.a1', '8.o1.a2'], 'contains': ['32.c1.a1', '176.m1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9131, -1, 9336, -1, 9257, -1, 2219, -1], 'generators': [2, 64, 4], 'label': '704.309.16.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.m1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110652363
    {'ambient': '704.309', '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': ['32.e1.a1', '32.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.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': [477, 7800, 7974, 2381, 1994, 9708, 8990, 9708], 'generators': [1, 88], 'label': '704.309.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.b1.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': '2.1', 'quotient_action_kernel': '11.1', 'quotient_action_kernel_order': 11, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110652364
    {'ambient': '704.309', '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': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.d1.a1', '44.e1.a1', '44.f1.a1', '44.i1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3173, -1, 4484, -1, 3195, -1, 6064, -1], 'generators': [1, 10, 176], 'label': '704.309.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.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': '16.11'}
  • id: 110652365
    {'ambient': '704.309', '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.j1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1362, -1, 7570, -1, 1749, -1, 9215, -1], 'generators': [1, 2], 'label': '704.309.22.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: 110652366
    {'ambient': '704.309', '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': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.f1.a1', '44.g1.a1', '44.h1.a1', '44.k1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4925, -1, 8969, -1, 5358, -1, 7575, -1], 'generators': [269, 2, 176], 'label': '704.309.22.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': '8.3'}
  • id: 110652367
    {'ambient': '704.309', 'aut_centralizer_order': 80, 'aut_label': '22.e1', '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.e1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.f1.a1', '44.j1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1039, -1, 6991, -1, 1474, -1, 9692, -1], 'generators': [3, 88], 'label': '704.309.22.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': '8.5'}
  • id: 110652368
    {'ambient': '704.309', 'aut_centralizer_order': 40, 'aut_label': '22.f1', '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.f1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.i1.a1', '44.j1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1939, -1, 7296, -1, 2675, -1, 8365, -1], 'generators': [269, 10], 'label': '704.309.22.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': '16.11'}
  • id: 110652369
    {'ambient': '704.309', '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.h1.a1', '44.i1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1651, -1, 8247, -1, 2920, -1, 9440, -1], 'generators': [2, 88], 'label': '704.309.22.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: 110652370
    {'ambient': '704.309', '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.b1.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': [7182, 2832, 789, 7103, 6854, 2842, 1238, 2278], 'generators': [356, 64], 'label': '704.309.32.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: 110652371
    {'ambient': '704.309', 'aut_centralizer_order': 8, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '88.a1.a1', 'complements': ['352.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.f1.a1', '4.g1.a1', '22.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1030, 3811, 6136, 8887, 1314, 918, 8448, 4868], 'generators': [3, 64, 532, 528, 88, 352], 'label': '704.309.2.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.f1.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': '88.11'}
  • id: 110652372
    {'ambient': '704.309', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.c1.a1', '16.d1.a1', '16.g1.a1', '16.h1.a1', '16.i1.a1'], 'contains': ['64.a1.a1', '352.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4049, 3827, 3847, 5859, 3917, 4229, 5705, 3668], 'generators': [352, 64], 'label': '704.309.32.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.d1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '352.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '352.78', '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: 110652373
    {'ambient': '704.309', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.j1.a1', '16.k1.a1', '16.l1.a1', '16.m1.a1'], 'contains': ['64.a1.a1', '352.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8716, 2136, 5224, 7824, 7547, 3536, 2307, 2973], 'generators': [4, 64], 'label': '704.309.32.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: 110652374
    {'ambient': '704.309', '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.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.g1.a1', '16.j1.a1'], 'contains': ['64.a1.a1', '352.d1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5721, -1, 1237, -1, 5256, -1, 2091, -1], 'generators': [1, 64], 'label': '704.309.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1.a1', 'old_label': '32.d1.a1', 'projective_image': '704.309', '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': '1.1'}
  • id: 110652375
    {'ambient': '704.309', 'aut_centralizer_order': 64, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '110.1', 'aut_weyl_index': 256, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.h1.a1', '16.k1.a1'], 'contains': ['64.a1.a1', '352.e1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7840, -1, 1501, -1, 7310, -1, 1874, -1], 'generators': [11, 64], 'label': '704.309.32.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '32.e1.a1', 'projective_image': '704.309', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110652376
    {'ambient': '704.309', 'aut_centralizer_order': 64, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '110.1', 'aut_weyl_index': 256, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '16.h1.a1', '16.k1.a1'], 'contains': ['64.a1.a1', '352.e1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7840, -1, 2107, -1, 7310, -1, 1656, -1], 'generators': [363, 64], 'label': '704.309.32.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '32.e1.b1', 'projective_image': '704.309', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.b1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110652377
    {'ambient': '704.309', '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': '16.a1.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.i1.a1', '88.j1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1240, 5620, 4521, 3249, 1437, 6106, 8455, 7165], 'generators': [1, 4, 176], 'label': '704.309.44.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'], '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': '16.11'}
  • id: 110652378
    {'ambient': '704.309', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.a1.a1', '22.d1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '88.d1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3336, 7168, 8179, 4189, 4593, 8581, 8174, 8579], 'generators': [269, 176], 'label': '704.309.44.b1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.b1.a1', 'normal_contained_in': ['4.c1.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': '8.3'}
  • id: 110652379
    {'ambient': '704.309', '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.e1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.n1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [590, 8069, 7780, 2128, 1072, 7186, 9856, 5547], 'generators': [4, 88], 'label': '704.309.44.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: 110652380
    {'ambient': '704.309', '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': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '22.b1.a1'], 'contains': ['88.b1.a1', '88.c1.a1', '88.g1.a1', '88.h1.a1', '88.h1.b1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6767, -1, 2742, -1, 6455, -1, 2140, -1], 'generators': [1, 10, 352], 'label': '704.309.44.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.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': '8.5'}
  • id: 110652381
    {'ambient': '704.309', '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': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '22.b1.a1'], 'contains': ['88.b1.a1', '88.e1.a1', '88.g1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [5694, -1, 3229, -1, 5113, -1, 4607, -1], 'generators': [177, 10], 'label': '704.309.44.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.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': '8.5'}
  • id: 110652382
    {'ambient': '704.309', 'aut_centralizer_order': 4, 'aut_label': '2.f1', '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.e1.a1', '352.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.e1.a1', '4.g1.a1', '22.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2683, 6291, 6489, 6317, 3078, 7549, 6685, 7426], 'generators': [269, 64, 4, 528, 10, 352], 'label': '704.309.2.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.e1.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': '176.31'}
  • id: 110652383
    {'ambient': '704.309', '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.b1.a1', '22.b1.a1', '22.d1.a1', '22.e1.a1'], 'contains': ['88.a1.a1', '88.c1.a1', '88.e1.a1', '88.k1.a1', '88.l1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4724, -1, 5571, -1, 4260, -1, 6441, -1], 'generators': [11, 4, 176], 'label': '704.309.44.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.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: 110652384
    {'ambient': '704.309', 'aut_centralizer_order': 80, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '44.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '22.d1.a1'], 'contains': ['88.c1.a1', '88.d1.a1', '88.f1.a1', '88.o1.a1', '88.o1.a2'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8593, -1, 9618, -1, 9377, -1, 4277, -1], 'generators': [445, 2, 352], 'label': '704.309.44.g1.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.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': '2.1'}
  • id: 110652385
    {'ambient': '704.309', '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': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '22.c1.a1', '22.d1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.f1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2515, -1, 8630, -1, 4838, -1, 8736, -1], 'generators': [2, 176], 'label': '704.309.44.h1.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.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': '8.3'}
  • id: 110652386
    {'ambient': '704.309', 'aut_centralizer_order': 160, 'aut_label': '44.i1', '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.b1.a1', '22.f1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.g1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2809, -1, 5200, -1, 3054, -1, 7548, -1], 'generators': [10, 176], 'label': '704.309.44.i1.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.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': '16.11'}
  • id: 110652387
    {'ambient': '704.309', 'aut_centralizer_order': 320, 'aut_label': '44.j1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3520, 'centralizer': '44.j1.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.m1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [1669, -1, 7065, -1, 710, -1, 9308, -1], 'generators': [3, 176], 'label': '704.309.44.j1.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.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': '4.2'}
  • id: 110652388
    {'ambient': '704.309', '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': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '22.d1.a1'], 'contains': ['88.d1.a1', '88.e1.a1', '88.f1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8201, -1, 9022, -1, 8090, -1, 5333, -1], 'generators': [269, 2], 'label': '704.309.44.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': '4.2'}
  • id: 110652389
    {'ambient': '704.309', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.d1.a1', '32.e1.a1', '32.e1.b1'], 'contains': ['704.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7322, 2531, 1424, 7406, 6854, 3536, 2091, 2973], 'generators': [64], 'label': '704.309.64.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': '704.309', '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: 110652390
    {'ambient': '704.309', '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.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1', '44.f1.a1', '44.h1.a1', '44.i1.a1', '44.j1.a1'], 'contains': ['176.a1.a1', '176.b1.a1', '176.c1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2812, 5462, 6394, 4410, 2777, 6090, 7903, 5547], 'generators': [4, 176], 'label': '704.309.88.a1.a1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.b1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1'], 'normal_contains': ['176.a1.a1', '176.c1.a1', '176.b1.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: 110652391
    {'ambient': '704.309', 'aut_centralizer_order': 3520, 'aut_label': '88.b1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '8.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.a1.a1', '44.d1.a1', '44.e1.a1'], 'contains': ['176.a1.a1', '176.d1.a1', '176.g1.a1', '176.j1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5405, -1, 3066, -1, 4788, -1, 4279, -1], 'generators': [1, 4, 352], 'label': '704.309.88.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '88.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110652392
    {'ambient': '704.309', 'aut_centralizer_order': 640, 'aut_label': '88.c1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '22.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.d1.a1', '44.f1.a1', '44.g1.a1'], 'contains': ['176.a1.a1', '176.e1.a1', '176.e1.b1', '176.h1.a1', '176.k1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7489, -1, 3627, -1, 7550, -1, 3678, -1], 'generators': [11, 4, 352], 'label': '704.309.88.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.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: 110652393
    {'ambient': '704.309', '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.e1.a1', '352.e1.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': [2178, 7563, 8261, 2341, 3507, 6279, 8054, 2065], 'generators': [2, 64, 4, 176, 88, 352], 'label': '704.309.2.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: 110652394
    {'ambient': '704.309', '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': '4.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '44.b1.a1', '44.g1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.l1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8578, -1, 8639, -1, 8080, -1, 5098, -1], 'generators': [269, 352], 'label': '704.309.88.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': '2.1'}
  • id: 110652395
    {'ambient': '704.309', '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': '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.i1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5747, -1, 5523, -1, 5078, -1, 5431, -1], 'generators': [187, 4], 'label': '704.309.88.e1.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.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': '4.2'}
  • id: 110652396
    {'ambient': '704.309', 'aut_centralizer_order': 320, 'aut_label': '88.f1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '44.g1.a1', '44.h1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.m1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8151, -1, 9042, -1, 8442, -1, 4766, -1], 'generators': [2, 352], 'label': '704.309.88.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.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': '2.1'}
  • id: 110652397
    {'ambient': '704.309', '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': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '44.d1.a1', '44.e1.a1', '44.i1.a1'], 'contains': ['176.a1.a1', '176.f1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6802, -1, 2727, -1, 5877, -1, 3412, -1], 'generators': [10, 352], 'label': '704.309.88.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.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': '4.2'}
  • id: 110652398
    {'ambient': '704.309', 'aut_centralizer_order': 80, 'aut_label': '88.h1', '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.h1.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': [7247, -1, 863, -1, 7025, -1, 534, -1], 'generators': [1, 10], 'label': '704.309.88.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '88.h1.a1', 'projective_image': '352.108', '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: 110652399
    {'ambient': '704.309', 'aut_centralizer_order': 80, 'aut_label': '88.h1', '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.h1.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': [7247, -1, 1077, -1, 7025, -1, 358, -1], 'generators': [353, 10], 'label': '704.309.88.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '88.h1.b1', 'projective_image': '352.108', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.h1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110652400
    {'ambient': '704.309', 'aut_centralizer_order': 1760, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '44.a1.a1'], 'contains': ['176.b1.a1', '176.g1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1478, -1, 3968, -1, 1839, -1, 7472, -1], 'generators': [1, 180], 'label': '704.309.88.i1.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.i1.a1', 'projective_image': '352.78', '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': '8.3'}
  • id: 110652402
    {'ambient': '704.309', 'aut_centralizer_order': 320, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '44.f1.a1'], 'contains': ['176.b1.a1', '176.h1.a1', '176.i1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4705, -1, 5120, -1, 3576, -1, 6455, -1], 'generators': [11, 180], 'label': '704.309.88.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '88.k1.a1', 'projective_image': '352.78', '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: 110652403
    {'ambient': '704.309', '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.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '44.f1.a1'], 'contains': ['176.c1.a1', '176.h1.a1', '176.i1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4278, -1, 4603, -1, 4257, -1, 6788, -1], 'generators': [11, 176], 'label': '704.309.88.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.d1.a1', 'old_label': '88.l1.a1', 'projective_image': '352.78', '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: 110652404
    {'ambient': '704.309', '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.b1.a1', '8.d1.a1', '8.i1.a1', '8.j1.a1', '44.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1880, 2468, 4149, 2496, 2335, 4939, 6878, 7165], 'generators': [1, 176, 64, 4, 352], 'label': '704.309.4.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.b1.a1', '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: 110652405
    {'ambient': '704.309', 'aut_centralizer_order': 320, 'aut_label': '88.m1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '44.j1.a1'], 'contains': ['176.b1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1704, -1, 6085, -1, 710, -1, 8995, -1], 'generators': [3], 'label': '704.309.88.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '88.m1.a1', 'projective_image': '352.78', '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': '2.1'}
  • id: 110652406
    {'ambient': '704.309', 'aut_centralizer_order': 3520, 'aut_label': '88.n1', '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.n1.a1', '44.c1.a1'], 'contains': ['176.c1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [154, -1, 7780, -1, 1072, -1, 9582, -1], 'generators': [88], 'label': '704.309.88.n1.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.n1.a1', 'projective_image': '352.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.n1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110652407
    {'ambient': '704.309', 'aut_centralizer_order': 80, 'aut_label': '88.o1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '44.g1.a1'], 'contains': ['176.k1.a1', '176.l1.a1', '176.m1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [9890, -1, 9446, -1, 9598, -1, 2747, -1], 'generators': [93, 2], 'label': '704.309.88.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '88.o1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.o1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652408
    {'ambient': '704.309', 'aut_centralizer_order': 80, 'aut_label': '88.o1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a2', '44.g1.a1'], 'contains': ['176.k1.a1', '176.l1.a1', '176.m1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [9890, -1, 9850, -1, 9598, -1, 3079, -1], 'generators': [445, 2], 'label': '704.309.88.o1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '88.o1.a2', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.o1.a2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110652409
    {'ambient': '704.309', '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.b1.a1', '88.c1.a1', '88.d1.a1', '88.e1.a1', '88.f1.a1', '88.g1.a1'], 'contains': ['352.a1.a1', '352.b1.a1', '352.c1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6802, 3504, 5307, 6367, 6436, 4899, 4279, 4339], 'generators': [4, 352], 'label': '704.309.176.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: 110652410
    {'ambient': '704.309', 'aut_centralizer_order': 14080, 'aut_label': '176.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '2.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '88.a1.a1', '88.i1.a1', '88.k1.a1', '88.m1.a1'], 'contains': ['352.b1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2803, 4624, 5697, 4410, 2414, 5507, 7174, 4947], 'generators': [180], 'label': '704.309.176.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.b1.a1', 'normal_contained_in': ['16.c1.a1', '88.a1.a1'], 'normal_contains': ['352.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.b1.a1', 'projective_image': '352.78', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.5', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110652411
    {'ambient': '704.309', '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.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '88.a1.a1', '88.j1.a1', '88.l1.a1', '88.n1.a1'], 'contains': ['352.b1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2138, 5462, 6231, 5344, 2627, 6074, 7463, 5515], 'generators': [176], 'label': '704.309.176.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': '352.78', '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: 110652412
    {'ambient': '704.309', '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': '8.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '88.b1.a1', '88.h1.a1', '88.h1.b1'], 'contains': ['352.a1.a1', '352.d1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6409, -1, 1077, -1, 6218, -1, 1030, -1], 'generators': [1, 356], 'label': '704.309.176.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': '2.1'}
  • id: 110652413
    {'ambient': '704.309', '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.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.c1.a1', '88.h1.a1'], 'contains': ['352.a1.a1', '352.e1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7489, -1, 1319, -1, 7081, -1, 1446, -1], 'generators': [11, 356], 'label': '704.309.176.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: 110652414
    {'ambient': '704.309', '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.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '88.c1.a1', '88.h1.b1'], 'contains': ['352.a1.a1', '352.e1.b1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7489, -1, 1789, -1, 7081, -1, 830, -1], 'generators': [363, 356], 'label': '704.309.176.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'}