Abstract group data - 704.421

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 220, 'aut_gen_orders': [10, 10, 10, 20, 22, 2, 2, 2, 20], 'aut_gens': [[1, 2, 8], [261, 6, 296], [517, 354, 508], [353, 354, 668], [21, 182, 396], [405, 534, 540], [117, 530, 696], [129, 6, 344], [417, 358, 172], [273, 182, 332]], 'aut_group': None, 'aut_hash': 7247618788880966071, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 28160, 'aut_permdeg': 60, 'aut_perms': [6492250452184418037503466628006583391651698883687170956348728224437256370442819675, 3662833609657882213296726227821531298962415852914398581252002672390836961204694068, 4940880579487484078398255263031135389633337386566875025172491757299342048084240930, 5082492238627054448226793037812026620160422303175091943309601807887314668378134995, 7618088040038399935081761819028409669498882046703213747134363829888340462610929288, 6341070550450468188914501293777957343976549353496225441637666828976915508242512695, 141032311678978236455869707005983428426088274701238396962138435643979626615143389, 8318554065878422992451805183290710625769179573691219254119192735108666082670591709, 3241918115019389372470095894381228715667165493799227345798528687285488812165789437], 'aut_phi_ratio': 88.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 44, 2, 1], [4, 2, 1, 2], [4, 4, 2, 2], [4, 22, 2, 2], [4, 44, 2, 1], [8, 4, 2, 1], [8, 44, 2, 1], [11, 2, 5, 1], [22, 2, 5, 3], [44, 4, 5, 2], [44, 8, 10, 2], [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, 44, 2], [4, 2, 2], [4, 4, 4], [4, 22, 4], [4, 44, 2], [8, 4, 2], [8, 44, 2], [11, 2, 5], [22, 2, 15], [44, 4, 10], [44, 8, 20], [88, 4, 20]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '176.31', 'commutator_count': 1, 'commutator_label': '44.2', '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': 421, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 44, 1, 2], [4, 2, 1, 2], [4, 4, 2, 2], [4, 22, 2, 2], [4, 44, 1, 2], [8, 4, 1, 2], [8, 44, 2, 1], [11, 2, 5, 1], [22, 2, 5, 3], [44, 4, 5, 2], [44, 8, 10, 2], [88, 4, 10, 2]], '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': 421, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 44, 'inner_gen_orders': [2, 2, 44], 'inner_gens': [[1, 2, 344], [1, 2, 184], [369, 530, 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, 16], [2, 44], [4, 32]], 'label': '704.421', 'linC_count': 160, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 16, 'linQ_degree_count': 32, 'linQ_dim': 16, 'linQ_dim_count': 16, 'linR_count': 95, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C88:(C2*C4)', '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': 92, 'number_divisions': 27, 'number_normal_subgroups': 49, 'number_subgroup_autclasses': 100, 'number_subgroup_classes': 120, 'number_subgroups': 952, 'old_label': None, 'order': 704, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 91], [4, 196], [8, 96], [11, 10], [22, 30], [44, 200], [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': [16, 528, 640, 464, 0], 'outer_gens': [[21, 182, 360], [437, 178, 524], [289, 354, 188], [117, 534, 12], [133, 358, 300]], 'outer_group': '160.238', 'outer_hash': 238, 'outer_nilpotent': True, 'outer_order': 160, 'outer_permdeg': 160, 'outer_perms': [184473087093513030656620851961408113719255166854752618525892758444986635417959710272224585805392891493610570389978154012847912354209605630644587071272761832347386742742745201977208298874791616482226840297563245351706163701663832653410057917118936897558317158242726868322211764296275568, 193264812928182650054435719892586357891247283184320663365978286444678429499781802131911104885783452348789704314436639946806281913406538314044709160760611593898225162180852381225841875736911875128140959756215889095406143517434536365908299516694209250976712010735500636445212533660778182, 166732662789529113720557688790151167433095896258250636395967996939165856788865051052575568908465060739102581526144088354058888108380330064543120706771032829079351103737477945705334948456912419885808520411580733655522771722732033557837499330302566200708873330549034788595177309202489096, 187528537195454085607147615758101418307009443668929574062976837809039105577554422643524738093302252911201517698732258385910710475174913387793230211089251195663405664170467158316032580793482619366541803729148626658063333483403667531018189344196517152597229290535519291242435364470801752, 400567086697645391425577632478099172351193209018460173625329203140671372557592368031108145049184517020724260255417378935766719702421974531131266735735836750741043055582925847081954079155463871901647383736117973182444481425236015335046005557798428951815434306140160703742662977204722405], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4\\times C_{10}', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 23, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 3], [10, 4], [20, 4], [40, 2]], 'representations': {'PC': {'code': 915022254656468051838384504947628100000009, 'gens': [1, 2, 4], 'pres': [7, -2, -2, -2, -2, -2, -2, -11, 36, 9635, 2586, 80, 24084, 6451, 102, 28229, 124, 31366]}, 'Perm': {'d': 23, 'gens': [1133873899494354108847, 2406640182610599936000, 10116106329767961600, 87657292800, 3588671314282070016000, 1129109842917568512000, 4364893]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{88}:(C_2\\times C_4)', '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: 140201747
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 421, 'group_order': 704, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 140201758
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 421, 'group_order': 704, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 4, 'size': 1}
  • id: 140201769
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 421, 'group_order': 704, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 356, 'size': 1}
  • id: 140201780
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 421, 'group_order': 704, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 352, 'size': 1}
  • id: 140201791
    {'aut_label': '2D', 'centralizer': '44.d1.a1', 'counter': 5, 'group_counter': 421, 'group_order': 704, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 5, 'size': 44}
  • id: 140201802
    {'aut_label': '2D', 'centralizer': '44.d1.a1', 'counter': 6, 'group_counter': 421, 'group_order': 704, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 545, 'size': 44}
  • id: 140201813
    {'aut_label': '4A', 'centralizer': '2.g1.a1', 'counter': 7, 'group_counter': 421, 'group_order': 704, 'label': '4A', 'order': 4, 'powers': [4, 7, 7], 'representative': 180, 'size': 2}
  • id: 140201824
    {'aut_label': '4B', 'centralizer': '2.g1.a1', 'counter': 8, 'group_counter': 421, 'group_order': 704, 'label': '4B', 'order': 4, 'powers': [4, 8, 8], 'representative': 176, 'size': 2}
  • id: 140201835
    {'aut_label': '4C1', 'centralizer': '4.i1.a1', 'counter': 9, 'group_counter': 421, 'group_order': 704, 'label': '4C1', 'order': 4, 'powers': [2, 9, 10], 'representative': 6, 'size': 4}
  • id: 140201748
    {'aut_label': '4C1', 'centralizer': '4.i1.a1', 'counter': 10, 'group_counter': 421, 'group_order': 704, 'label': '4C-1', 'order': 4, 'powers': [2, 10, 9], 'representative': 2, 'size': 4}
  • id: 140201749
    {'aut_label': '4D1', 'centralizer': '4.l1.a1', 'counter': 11, 'group_counter': 421, 'group_order': 704, 'label': '4D1', 'order': 4, 'powers': [2, 11, 12], 'representative': 270, 'size': 4}
  • id: 140201750
    {'aut_label': '4D1', 'centralizer': '4.l1.a1', 'counter': 12, 'group_counter': 421, 'group_order': 704, 'label': '4D-1', 'order': 4, 'powers': [2, 12, 11], 'representative': 266, 'size': 4}
  • id: 140201751
    {'aut_label': '4E1', 'centralizer': '22.b1.a1', 'counter': 13, 'group_counter': 421, 'group_order': 704, 'label': '4E1', 'order': 4, 'powers': [2, 13, 14], 'representative': 3, 'size': 22}
  • id: 140201752
    {'aut_label': '4E1', 'centralizer': '22.b1.a1', 'counter': 14, 'group_counter': 421, 'group_order': 704, 'label': '4E-1', 'order': 4, 'powers': [2, 14, 13], 'representative': 7, 'size': 22}
  • id: 140201753
    {'aut_label': '4F1', 'centralizer': '22.f1.a1', 'counter': 15, 'group_counter': 421, 'group_order': 704, 'label': '4F1', 'order': 4, 'powers': [3, 15, 16], 'representative': 19, 'size': 22}
  • id: 140201754
    {'aut_label': '4F1', 'centralizer': '22.f1.a1', 'counter': 16, 'group_counter': 421, 'group_order': 704, 'label': '4F-1', 'order': 4, 'powers': [3, 16, 15], 'representative': 23, 'size': 22}
  • id: 140201755
    {'aut_label': '4G', 'centralizer': '44.k1.a1', 'counter': 17, 'group_counter': 421, 'group_order': 704, 'label': '4G', 'order': 4, 'powers': [4, 17, 17], 'representative': 185, 'size': 44}
  • id: 140201756
    {'aut_label': '4G', 'centralizer': '44.k1.a1', 'counter': 18, 'group_counter': 421, 'group_order': 704, 'label': '4H', 'order': 4, 'powers': [4, 18, 18], 'representative': 13, 'size': 44}
  • id: 140201757
    {'aut_label': '8A', 'centralizer': '4.f1.a1', 'counter': 19, 'group_counter': 421, 'group_order': 704, 'label': '8A', 'order': 8, 'powers': [8, 19, 19], 'representative': 88, 'size': 4}
  • id: 140201759
    {'aut_label': '8A', 'centralizer': '4.f1.a1', 'counter': 20, 'group_counter': 421, 'group_order': 704, 'label': '8B', 'order': 8, 'powers': [8, 20, 20], 'representative': 92, 'size': 4}
  • id: 140201760
    {'aut_label': '8C1', 'centralizer': '44.i1.a1', 'counter': 21, 'group_counter': 421, 'group_order': 704, 'label': '8C1', 'order': 8, 'powers': [7, 21, 22], 'representative': 31, 'size': 44}
  • id: 140201761
    {'aut_label': '8C1', 'centralizer': '44.i1.a1', 'counter': 22, 'group_counter': 421, 'group_order': 704, 'label': '8C-1', 'order': 8, 'powers': [7, 22, 21], 'representative': 203, 'size': 44}
  • id: 140201762
    {'aut_label': '11A1', 'centralizer': '2.d1.a1', 'counter': 23, 'group_counter': 421, 'group_order': 704, 'label': '11A1', 'order': 11, 'powers': [24, 27, 1], 'representative': 64, 'size': 2}
  • id: 140201763
    {'aut_label': '11A1', 'centralizer': '2.d1.a1', 'counter': 24, 'group_counter': 421, 'group_order': 704, 'label': '11A2', 'order': 11, 'powers': [26, 23, 1], 'representative': 128, 'size': 2}
  • id: 140201764
    {'aut_label': '11A1', 'centralizer': '2.d1.a1', 'counter': 25, 'group_counter': 421, 'group_order': 704, 'label': '11A3', 'order': 11, 'powers': [27, 26, 1], 'representative': 192, 'size': 2}
  • id: 140201765
    {'aut_label': '11A1', 'centralizer': '2.d1.a1', 'counter': 26, 'group_counter': 421, 'group_order': 704, 'label': '11A4', 'order': 11, 'powers': [25, 24, 1], 'representative': 256, 'size': 2}
  • id: 140201766
    {'aut_label': '11A1', 'centralizer': '2.d1.a1', 'counter': 27, 'group_counter': 421, 'group_order': 704, 'label': '11A5', 'order': 11, 'powers': [23, 25, 1], 'representative': 320, 'size': 2}
  • id: 140201767
    {'aut_label': '22A1', 'centralizer': '2.d1.a1', 'counter': 28, 'group_counter': 421, 'group_order': 704, 'label': '22A1', 'order': 22, 'powers': [23, 30, 3], 'representative': 36, 'size': 2}
  • id: 140201768
    {'aut_label': '22A1', 'centralizer': '2.d1.a1', 'counter': 29, 'group_counter': 421, 'group_order': 704, 'label': '22A3', 'order': 22, 'powers': [25, 31, 3], 'representative': 100, 'size': 2}
  • id: 140201770
    {'aut_label': '22A1', 'centralizer': '2.d1.a1', 'counter': 30, 'group_counter': 421, 'group_order': 704, 'label': '22A5', 'order': 22, 'powers': [27, 29, 3], 'representative': 164, 'size': 2}
  • id: 140201771
    {'aut_label': '22A1', 'centralizer': '2.d1.a1', 'counter': 31, 'group_counter': 421, 'group_order': 704, 'label': '22A7', 'order': 22, 'powers': [26, 32, 3], 'representative': 228, 'size': 2}
  • id: 140201772
    {'aut_label': '22A1', 'centralizer': '2.d1.a1', 'counter': 32, 'group_counter': 421, 'group_order': 704, 'label': '22A9', 'order': 22, 'powers': [24, 28, 3], 'representative': 292, 'size': 2}
  • id: 140201773
    {'aut_label': '22B1', 'centralizer': '2.d1.a1', 'counter': 33, 'group_counter': 421, 'group_order': 704, 'label': '22B1', 'order': 22, 'powers': [23, 35, 4], 'representative': 32, 'size': 2}
  • id: 140201774
    {'aut_label': '22B1', 'centralizer': '2.d1.a1', 'counter': 34, 'group_counter': 421, 'group_order': 704, 'label': '22B3', 'order': 22, 'powers': [25, 36, 4], 'representative': 96, 'size': 2}
  • id: 140201775
    {'aut_label': '22B1', 'centralizer': '2.d1.a1', 'counter': 35, 'group_counter': 421, 'group_order': 704, 'label': '22B5', 'order': 22, 'powers': [27, 34, 4], 'representative': 160, 'size': 2}
  • id: 140201776
    {'aut_label': '22B1', 'centralizer': '2.d1.a1', 'counter': 36, 'group_counter': 421, 'group_order': 704, 'label': '22B7', 'order': 22, 'powers': [26, 37, 4], 'representative': 224, 'size': 2}
  • id: 140201777
    {'aut_label': '22B1', 'centralizer': '2.d1.a1', 'counter': 37, 'group_counter': 421, 'group_order': 704, 'label': '22B9', 'order': 22, 'powers': [24, 33, 4], 'representative': 288, 'size': 2}
  • id: 140201778
    {'aut_label': '22C1', 'centralizer': '2.d1.a1', 'counter': 38, 'group_counter': 421, 'group_order': 704, 'label': '22C1', 'order': 22, 'powers': [26, 40, 2], 'representative': 132, 'size': 2}
  • id: 140201779
    {'aut_label': '22C1', 'centralizer': '2.d1.a1', 'counter': 39, 'group_counter': 421, 'group_order': 704, 'label': '22C3', 'order': 22, 'powers': [23, 41, 2], 'representative': 388, 'size': 2}
  • id: 140201781
    {'aut_label': '22C1', 'centralizer': '2.d1.a1', 'counter': 40, 'group_counter': 421, 'group_order': 704, 'label': '22C5', 'order': 22, 'powers': [24, 39, 2], 'representative': 644, 'size': 2}
  • id: 140201782
    {'aut_label': '22C1', 'centralizer': '2.d1.a1', 'counter': 41, 'group_counter': 421, 'group_order': 704, 'label': '22C7', 'order': 22, 'powers': [27, 42, 2], 'representative': 196, 'size': 2}
  • id: 140201783
    {'aut_label': '22C1', 'centralizer': '2.d1.a1', 'counter': 42, 'group_counter': 421, 'group_order': 704, 'label': '22C9', 'order': 22, 'powers': [25, 38, 2], 'representative': 452, 'size': 2}
  • id: 140201784
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 43, 'group_counter': 421, 'group_order': 704, 'label': '44A1', 'order': 44, 'powers': [33, 45, 7], 'representative': 20, 'size': 4}
  • id: 140201785
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 44, 'group_counter': 421, 'group_order': 704, 'label': '44A3', 'order': 44, 'powers': [34, 46, 7], 'representative': 52, 'size': 4}
  • id: 140201786
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 45, 'group_counter': 421, 'group_order': 704, 'label': '44A5', 'order': 44, 'powers': [35, 44, 7], 'representative': 84, 'size': 4}
  • id: 140201787
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 46, 'group_counter': 421, 'group_order': 704, 'label': '44A7', 'order': 44, 'powers': [36, 47, 7], 'representative': 468, 'size': 4}
  • id: 140201788
    {'aut_label': '44A1', 'centralizer': '4.f1.a1', 'counter': 47, 'group_counter': 421, 'group_order': 704, 'label': '44A9', 'order': 44, 'powers': [37, 43, 7], 'representative': 148, 'size': 4}
  • id: 140201789
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 48, 'group_counter': 421, 'group_order': 704, 'label': '44B1', 'order': 44, 'powers': [33, 50, 8], 'representative': 16, 'size': 4}
  • id: 140201790
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 49, 'group_counter': 421, 'group_order': 704, 'label': '44B3', 'order': 44, 'powers': [34, 51, 8], 'representative': 48, 'size': 4}
  • id: 140201792
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 50, 'group_counter': 421, 'group_order': 704, 'label': '44B5', 'order': 44, 'powers': [35, 49, 8], 'representative': 80, 'size': 4}
  • id: 140201793
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 51, 'group_counter': 421, 'group_order': 704, 'label': '44B7', 'order': 44, 'powers': [36, 52, 8], 'representative': 112, 'size': 4}
  • id: 140201794
    {'aut_label': '44B1', 'centralizer': '4.f1.a1', 'counter': 52, 'group_counter': 421, 'group_order': 704, 'label': '44B9', 'order': 44, 'powers': [37, 48, 8], 'representative': 144, 'size': 4}
  • id: 140201795
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 53, 'group_counter': 421, 'group_order': 704, 'label': '44C1', 'order': 44, 'powers': [38, 57, 9], 'representative': 66, 'size': 8}
  • id: 140201796
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 54, 'group_counter': 421, 'group_order': 704, 'label': '44C-1', 'order': 44, 'powers': [38, 58, 10], 'representative': 70, 'size': 8}
  • id: 140201797
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 55, 'group_counter': 421, 'group_order': 704, 'label': '44C3', 'order': 44, 'powers': [39, 59, 10], 'representative': 22, 'size': 8}
  • id: 140201798
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 56, 'group_counter': 421, 'group_order': 704, 'label': '44C-3', 'order': 44, 'powers': [39, 60, 9], 'representative': 18, 'size': 8}
  • id: 140201799
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 57, 'group_counter': 421, 'group_order': 704, 'label': '44C5', 'order': 44, 'powers': [40, 56, 9], 'representative': 34, 'size': 8}
  • id: 140201800
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 58, 'group_counter': 421, 'group_order': 704, 'label': '44C-5', 'order': 44, 'powers': [40, 55, 10], 'representative': 38, 'size': 8}
  • id: 140201801
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 59, 'group_counter': 421, 'group_order': 704, 'label': '44C7', 'order': 44, 'powers': [41, 62, 10], 'representative': 262, 'size': 8}
  • id: 140201803
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 60, 'group_counter': 421, 'group_order': 704, 'label': '44C-7', 'order': 44, 'powers': [41, 61, 9], 'representative': 258, 'size': 8}
  • id: 140201804
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 61, 'group_counter': 421, 'group_order': 704, 'label': '44C9', 'order': 44, 'powers': [42, 53, 9], 'representative': 130, 'size': 8}
  • id: 140201805
    {'aut_label': '44C1', 'centralizer': '8.h1.a1', 'counter': 62, 'group_counter': 421, 'group_order': 704, 'label': '44C-9', 'order': 44, 'powers': [42, 54, 10], 'representative': 134, 'size': 8}
  • id: 140201806
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 63, 'group_counter': 421, 'group_order': 704, 'label': '44D1', 'order': 44, 'powers': [41, 67, 11], 'representative': 10, 'size': 8}
  • id: 140201807
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 64, 'group_counter': 421, 'group_order': 704, 'label': '44D-1', 'order': 44, 'powers': [41, 68, 12], 'representative': 14, 'size': 8}
  • id: 140201808
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 65, 'group_counter': 421, 'group_order': 704, 'label': '44D3', 'order': 44, 'powers': [38, 69, 12], 'representative': 30, 'size': 8}
  • id: 140201809
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 66, 'group_counter': 421, 'group_order': 704, 'label': '44D-3', 'order': 44, 'powers': [38, 70, 11], 'representative': 26, 'size': 8}
  • id: 140201810
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 67, 'group_counter': 421, 'group_order': 704, 'label': '44D5', 'order': 44, 'powers': [42, 66, 11], 'representative': 42, 'size': 8}
  • id: 140201811
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 68, 'group_counter': 421, 'group_order': 704, 'label': '44D-5', 'order': 44, 'powers': [42, 65, 12], 'representative': 46, 'size': 8}
  • id: 140201812
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 69, 'group_counter': 421, 'group_order': 704, 'label': '44D7', 'order': 44, 'powers': [40, 72, 12], 'representative': 590, 'size': 8}
  • id: 140201814
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 70, 'group_counter': 421, 'group_order': 704, 'label': '44D-7', 'order': 44, 'powers': [40, 71, 11], 'representative': 586, 'size': 8}
  • id: 140201815
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 71, 'group_counter': 421, 'group_order': 704, 'label': '44D9', 'order': 44, 'powers': [39, 63, 11], 'representative': 74, 'size': 8}
  • id: 140201816
    {'aut_label': '44D1', 'centralizer': '8.i1.a1', 'counter': 72, 'group_counter': 421, 'group_order': 704, 'label': '44D-9', 'order': 44, 'powers': [39, 64, 12], 'representative': 78, 'size': 8}
  • id: 140201817
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 73, 'group_counter': 421, 'group_order': 704, 'label': '88A1', 'order': 88, 'powers': [48, 77, 19], 'representative': 8, 'size': 4}
  • id: 140201818
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 74, 'group_counter': 421, 'group_order': 704, 'label': '88A-1', 'order': 88, 'powers': [48, 78, 19], 'representative': 520, 'size': 4}
  • id: 140201819
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 75, 'group_counter': 421, 'group_order': 704, 'label': '88A3', 'order': 88, 'powers': [49, 80, 19], 'representative': 24, 'size': 4}
  • id: 140201820
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 76, 'group_counter': 421, 'group_order': 704, 'label': '88A-3', 'order': 88, 'powers': [49, 79, 19], 'representative': 200, 'size': 4}
  • id: 140201821
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 77, 'group_counter': 421, 'group_order': 704, 'label': '88A5', 'order': 88, 'powers': [50, 76, 19], 'representative': 40, 'size': 4}
  • id: 140201822
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 78, 'group_counter': 421, 'group_order': 704, 'label': '88A-5', 'order': 88, 'powers': [50, 75, 19], 'representative': 392, 'size': 4}
  • id: 140201823
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 79, 'group_counter': 421, 'group_order': 704, 'label': '88A7', 'order': 88, 'powers': [51, 81, 19], 'representative': 584, 'size': 4}
  • id: 140201825
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 80, 'group_counter': 421, 'group_order': 704, 'label': '88A-7', 'order': 88, 'powers': [51, 82, 19], 'representative': 648, 'size': 4}
  • id: 140201826
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 81, 'group_counter': 421, 'group_order': 704, 'label': '88A9', 'order': 88, 'powers': [52, 74, 19], 'representative': 72, 'size': 4}
  • id: 140201827
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 82, 'group_counter': 421, 'group_order': 704, 'label': '88A-9', 'order': 88, 'powers': [52, 73, 19], 'representative': 456, 'size': 4}
  • id: 140201828
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 83, 'group_counter': 421, 'group_order': 704, 'label': '88B1', 'order': 88, 'powers': [48, 87, 20], 'representative': 12, 'size': 4}
  • id: 140201829
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 84, 'group_counter': 421, 'group_order': 704, 'label': '88B-1', 'order': 88, 'powers': [48, 88, 20], 'representative': 524, 'size': 4}
  • id: 140201830
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 85, 'group_counter': 421, 'group_order': 704, 'label': '88B3', 'order': 88, 'powers': [49, 90, 20], 'representative': 28, 'size': 4}
  • id: 140201831
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 86, 'group_counter': 421, 'group_order': 704, 'label': '88B-3', 'order': 88, 'powers': [49, 89, 20], 'representative': 204, 'size': 4}
  • id: 140201832
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 87, 'group_counter': 421, 'group_order': 704, 'label': '88B5', 'order': 88, 'powers': [50, 86, 20], 'representative': 44, 'size': 4}
  • id: 140201833
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 88, 'group_counter': 421, 'group_order': 704, 'label': '88B-5', 'order': 88, 'powers': [50, 85, 20], 'representative': 396, 'size': 4}
  • id: 140201834
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 89, 'group_counter': 421, 'group_order': 704, 'label': '88B7', 'order': 88, 'powers': [51, 91, 20], 'representative': 588, 'size': 4}
  • id: 140201836
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 90, 'group_counter': 421, 'group_order': 704, 'label': '88B-7', 'order': 88, 'powers': [51, 92, 20], 'representative': 652, 'size': 4}
  • id: 140201837
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 91, 'group_counter': 421, 'group_order': 704, 'label': '88B9', 'order': 88, 'powers': [52, 84, 20], 'representative': 76, 'size': 4}
  • id: 140201838
    {'aut_label': '88A1', 'centralizer': '4.f1.a1', 'counter': 92, 'group_counter': 421, 'group_order': 704, 'label': '88B-9', 'order': 88, 'powers': [52, 83, 20], 'representative': 460, '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: 12865586
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1a', '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, 1, 1, 1], 'schur_index': 1}
  • id: 12865597
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1b', '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, 1, 1, 1], 'schur_index': 1}
  • id: 12865606
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1c', '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, -1, -1, -1], 'schur_index': 1}
  • id: 12865607
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1d', '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, -1, -1, -1], 'schur_index': 1}
  • id: 12865608
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1e', '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, 1, 1, 1], 'schur_index': 1}
  • id: 12865609
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1f', '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, 1, 1, 1], 'schur_index': 1}
  • id: 12865610
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1g', '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, -1, -1, -1], 'schur_index': 1}
  • id: 12865611
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1h', '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, -1, -1, -1], 'schur_index': 1}
  • id: 12865612
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 0, 0, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 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, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2], 'schur_index': 1}
  • id: 12865587
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 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, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 12865588
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 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, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 12865589
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 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, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2], 'schur_index': 1}
  • id: 12865590
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12865591
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12865592
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2c', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 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], 'schur_index': 1}
  • id: 12865600
    {'cdim': 4, 'counter': 22, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.4a', '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, 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: 12865601
    {'cdim': 4, 'counter': 23, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.4b', 'multiplicity': 1, 'nt': [16, 32], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 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': 2}
  • id: 12865593
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2d', 'multiplicity': 5, 'nt': [11, 2], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12865594
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2e', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 10, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 12865595
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2f', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 10, -10, 10, 10, -10, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12865596
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2g', 'multiplicity': 5, 'nt': [22, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 10, 10, -10, -10, 10, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 12865598
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2h', 'multiplicity': 10, 'nt': [44, 7], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 20, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 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, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2], 'schur_index': 1}
  • id: 12865599
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.2i', 'multiplicity': 10, 'nt': [44, 7], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 0, 0, -20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, -20, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 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, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2], 'schur_index': 1}
  • id: 12865602
    {'cdim': 4, 'counter': 24, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.4c', 'multiplicity': 5, 'nt': [44, 12], 'qdim': 20, 'qvalues': [20, 20, 20, 20, 0, 0, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12865603
    {'cdim': 4, 'counter': 25, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.4d', 'multiplicity': 5, 'nt': [88, 0], 'qdim': 20, 'qvalues': [20, -20, 20, -20, 0, 0, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12865604
    {'cdim': 4, 'counter': 26, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.4e', '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, 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: 12865605
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '704.421', 'group_order': 704, 'image': None, 'label': '704.421.4f', 'multiplicity': 10, 'nt': [176, 0], 'qdim': 40, 'qvalues': [40, 40, -40, -40, 0, 0, 0, 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: 29870535
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 704, 'label': '704.421.1a', '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]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29870546
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 352, 'label': '704.421.1b', '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]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29870557
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 352, 'label': '704.421.1c', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29870568
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 352, 'label': '704.421.1d', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29870579
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 352, 'label': '704.421.1e', '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]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29870590
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 352, 'label': '704.421.1f', '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]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 29870601
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 352, 'label': '704.421.1g', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29870612
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 352, 'label': '704.421.1h', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 29870623
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.d1', 'kernel_order': 176, 'label': '704.421.1i1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 29870536
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.d1', 'kernel_order': 176, 'label': '704.421.1i2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 29870537
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.c1', 'kernel_order': 176, 'label': '704.421.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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: 29870538
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.c1', 'kernel_order': 176, 'label': '704.421.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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: 29870539
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.b1', 'kernel_order': 176, 'label': '704.421.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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: 29870540
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.b1', 'kernel_order': 176, 'label': '704.421.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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: 29870541
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.a1', 'kernel_order': 176, 'label': '704.421.1l1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 29870542
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 704, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.a1', 'kernel_order': 176, 'label': '704.421.1l2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-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: 29870543
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 88, 'label': '704.421.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870544
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 88, 'label': '704.421.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870545
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 19, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 44, 'label': '704.421.2c1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870547
    {'center': '4.d1.a1', 'center_index': 4, 'center_order': 176, 'counter': 20, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 44, 'label': '704.421.2c2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870548
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.421.2d1', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 29870549
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.421.2d2', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 29870550
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.421.2d3', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]]]}
  • id: 29870551
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.421.2d4', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]]]}
  • id: 29870552
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '22.1', 'image_order': 22, 'indicator': 1, 'kernel': '22.a1.a1', 'kernel_order': 32, 'label': '704.421.2d5', 'nt': [11, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]]]}
  • id: 29870553
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.421.2e1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 29870554
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.421.2e2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 29870555
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.421.2e3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-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, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]]]}
  • id: 29870556
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.421.2e4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-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, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]]]}
  • id: 29870558
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.c1.a1', 'kernel_order': 16, 'label': '704.421.2e5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]]]}
  • id: 29870559
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.421.2f1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 29870560
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.421.2f2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 29870561
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.421.2f3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]]]}
  • id: 29870562
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.421.2f4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[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, 4], [1, -4]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 4], [1, -4]], [[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, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]]]}
  • id: 29870563
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.a1.a1', 'kernel_order': 16, 'label': '704.421.2f5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]]]}
  • id: 29870564
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.421.2g1', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 29870565
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.421.2g2', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 29870566
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.421.2g3', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-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, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, -4]]]}
  • id: 29870567
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 39, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.421.2g4', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-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, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4], [-1, -4]], [[-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, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]]]}
  • id: 29870569
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 40, 'cyclotomic_n': 11, 'dim': 2, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '44.3', 'image_order': 44, 'indicator': 1, 'kernel': '44.b1.a1', 'kernel_order': 16, 'label': '704.421.2g5', 'nt': [22, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-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, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, -5]]]}
  • id: 29870570
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 41, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h1', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-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, 2], [-1, -2]], [[1, 10], [1, -10]], [[-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, 9], [-1, 13]], [[1, 9], [1, 13]], [[-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, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[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, 7], [1, 15]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]]]}
  • id: 29870580
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 50, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h10', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[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, 7], [-1, 15]], [[1, 7], [1, 15]], [[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, 9], [-1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-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, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]]]}
  • id: 29870571
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 42, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h2', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-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, 2], [-1, -2]], [[1, 10], [1, -10]], [[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, 9], [1, 13]], [[-1, 9], [-1, 13]], [[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, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-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, 7], [-1, 15]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]]]}
  • id: 29870572
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 43, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h3', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 3], [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, 3], [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, 3], [-1, 19]], [[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, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[-1, 9], [-1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]]]}
  • id: 29870573
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 44, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h4', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 3], [-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, 3], [-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, 3], [1, 19]], [[-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, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[1, 9], [1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]]]}
  • id: 29870574
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 45, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h5', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[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, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 5], [-1, 17]], [[-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, 5], [-1, 17]], [[1, 9], [1, 13]], [[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, 7], [1, 15]], [[-1, 7], [-1, 15]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[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, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 29870575
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 46, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h6', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[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, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, 17]], [[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, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-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, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[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, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 29870576
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 47, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h7', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[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, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[-1, 3], [-1, 19]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[-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, 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, 5], [1, 17]], [[1, 9], [1, 13]], [[-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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 29870577
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 48, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h8', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[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, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[-1, 3], [-1, 19]], [[1, 3], [1, 19]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[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, 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, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[-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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 29870578
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 49, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.b1', 'kernel_order': 8, 'label': '704.421.2h9', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[2, 11]], [[-2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[-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, 7], [1, 15]], [[-1, 7], [-1, 15]], [[-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, 9], [1, 13]], [[-1, 7], [-1, 15]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 5], [1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[-1, 5], [-1, 17]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-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, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]]]}
  • id: 29870581
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 51, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i1', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-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, 2], [-1, -2]], [[1, 10], [1, -10]], [[-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, 9], [1, 13]], [[1, 9], [1, 13]], [[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, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-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, 7], [-1, 15]], [[1, 3], [1, 19]], [[1, 3], [1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 10], [1, -10]]]}
  • id: 29870591
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 60, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i10', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[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, 7], [1, 15]], [[1, 7], [1, 15]], [[-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, 9], [1, 13]], [[-1, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[-1, 5], [-1, 17]], [[-1, 5], [-1, 17]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[1, 5], [1, 17]], [[1, 5], [1, 17]], [[-1, 3], [-1, 19]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[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, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 2], [1, -2]]]}
  • id: 29870582
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 52, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i2', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-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, 2], [-1, -2]], [[1, 10], [1, -10]], [[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, 9], [-1, 13]], [[-1, 9], [-1, 13]], [[-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, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[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, 7], [1, 15]], [[-1, 3], [-1, 19]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 10], [1, -10]]]}
  • id: 29870583
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 53, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i3', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 3], [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, 3], [-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, 3], [1, 19]], [[-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, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 9], [-1, 13]], [[-1, 9], [-1, 13]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 7], [1, 15]], [[-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, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]]]}
  • id: 29870584
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 54, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i4', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[-1, 3], [-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, 3], [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, 3], [-1, 19]], [[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, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[1, 9], [1, 13]], [[1, 9], [1, 13]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[-1, 7], [-1, 15]], [[-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, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 8], [-1, -8]]]}
  • id: 29870585
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 55, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i5', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[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, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 5], [-1, 17]], [[-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, 5], [1, 17]], [[1, 9], [1, 13]], [[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, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[-1, 3], [-1, 19]], [[1, 5], [1, 17]], [[1, 9], [1, 13]], [[1, 7], [1, 15]], [[1, 7], [1, 15]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[-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, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 29870586
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 56, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i6', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[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, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 5], [1, 17]], [[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, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[-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, 7], [1, 15]], [[1, 7], [1, 15]], [[1, 3], [1, 19]], [[-1, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[-1, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[-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, 8], [-1, -8]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 29870587
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 57, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i7', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[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, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[-1, 3], [-1, 19]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[1, 7], [1, 15]], [[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, 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, 5], [-1, 17]], [[-1, 9], [-1, 13]], [[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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 29870588
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 58, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i8', 'nt': [44, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 11]], [[2, 11]], [[-2, 11]], [[-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[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, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, 15]], [[1, 5], [1, 17]], [[-1, 9], [-1, 13]], [[1, 3], [1, 19]], [[1, 3], [1, 19]], [[1, 7], [1, 15]], [[-1, 5], [-1, 17]], [[1, 9], [1, 13]], [[-1, 7], [-1, 15]], [[-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, 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, 5], [1, 17]], [[1, 9], [1, 13]], [[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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 8], [1, -8]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 8], [-1, -8]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 29870589
    {'center': '22.a1.a1', 'center_index': 22, 'center_order': 32, 'counter': 59, 'cyclotomic_n': 44, 'dim': 2, 'faithful': False, 'field': [1, 0, 15, 0, 35, 0, 28, 0, 9, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '88.4', 'image_order': 88, 'indicator': 0, 'kernel': '88.b1.a1', 'kernel_order': 8, 'label': '704.421.2i9', 'nt': [44, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 11]], [[-2, 11]], [[2, 11]], [[2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 8], [1, -8]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 10], [1, -10]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 8], [1, -8]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[-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, 7], [-1, 15]], [[-1, 7], [-1, 15]], [[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, 9], [-1, 13]], [[1, 7], [1, 15]], [[1, 7], [1, 15]], [[1, 5], [1, 17]], [[1, 5], [1, 17]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11], [-1, 13], [1, 15], [-1, 17], [1, 19]], [[1, 9], [1, 13]], [[-1, 3], [-1, 19]], [[-1, 5], [-1, 17]], [[-1, 5], [-1, 17]], [[1, 3], [1, 19]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11], [1, 13], [-1, 15], [1, 17], [-1, 19]], [[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, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 2], [1, -2]]]}
  • id: 29870592
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 44, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 22, 'label': '704.421.4a', '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]], [[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: 29870593
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 44, 'counter': 62, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '32.44', 'image_order': 32, 'indicator': -1, 'kernel': '32.b1.a1', 'kernel_order': 22, 'label': '704.421.4b', 'nt': [16, 32], '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]], [[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: 29870594
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.421.4c1', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-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, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870595
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.421.4c2', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-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, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870596
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.421.4c3', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-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, 3], [-2, -3]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870597
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.421.4c4', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 4], [-2, -4]], [[-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, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870598
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.31', 'image_order': 176, 'indicator': 1, 'kernel': '176.a1.a1', 'kernel_order': 4, 'label': '704.421.4c5', 'nt': [44, 12], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-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, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870599
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.34', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.421.4d1', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[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, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870600
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.34', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.421.4d2', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[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, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870602
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  • id: 29870603
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 71, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.34', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.421.4d4', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 4], [2, -4]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 4], [-2, -4]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 4], [-2, -4]], [[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, 2], [-2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870604
    {'center': '88.a1.a1', 'center_index': 88, 'center_order': 8, 'counter': 72, 'cyclotomic_n': 11, 'dim': 4, 'faithful': False, 'field': [-1, 3, 3, -4, -1, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '176.34', 'image_order': 176, 'indicator': 1, 'kernel': '176.b1.a1', 'kernel_order': 4, 'label': '704.421.4d5', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[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, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 29870605
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 73, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e1', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[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, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 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, 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, 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, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[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, 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]]]}
  • id: 29870615
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e10', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 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, 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, 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, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]]]}
  • id: 29870606
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e2', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[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, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 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, 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, 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, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-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, 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]]]}
  • id: 29870607
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e3', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-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, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 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, 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, 9], [-1, 13], [-1, 31], [-1, 35]], [[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, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]]]}
  • id: 29870608
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 76, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e4', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-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, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 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, 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, 9], [1, 13], [1, 31], [1, 35]], [[-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, 5], [1, 17], [1, 27], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]]]}
  • id: 29870609
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e5', 'nt': [88, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-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, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 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, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[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, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 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]]]}
  • id: 29870610
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e6', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 4], [2, -4]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 12], [2, -12]], [[2, 20], [2, -20]], [[-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, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 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, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-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, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 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]]]}
  • id: 29870611
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e7', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[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, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [1, 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, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [-1, 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]]]}
  • id: 29870613
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e8', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 12], [2, -12]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[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, 5], [1, 17], [1, 27], [1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [-1, 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, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [1, 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]]]}
  • id: 29870614
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.106', 'image_order': 352, 'indicator': 0, 'kernel': '352.a1.a1', 'kernel_order': 2, 'label': '704.421.4e9', '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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[-2, 16], [-2, -16]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 4], [2, -4]], [[-2, 8], [-2, -8]], [[2, 20], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 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, 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, 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, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]]]}
  • id: 29870616
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f1', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[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, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 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, 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, 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, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[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, 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]]]}
  • id: 29870626
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 92, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f10', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 20], [-2, -20]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 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, 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, 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, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]]]}
  • id: 29870617
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 84, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f2', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[2, 20], [2, -20]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[-2, 16], [-2, -16]], [[2, 16], [2, -16]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[2, 8], [2, -8]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[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, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 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, 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, 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, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-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, 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]]]}
  • id: 29870618
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f3', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-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, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 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, 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, 9], [1, 13], [1, 31], [1, 35]], [[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, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]]]}
  • id: 29870619
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f4', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[-2, 16], [-2, -16]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[-2, 20], [-2, -20]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[-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, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 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, 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, 9], [-1, 13], [-1, 31], [-1, 35]], [[-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, 5], [1, 17], [1, 27], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]]]}
  • id: 29870620
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f5', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 16], [2, -16]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-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, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 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, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-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, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[1, 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]]]}
  • id: 29870621
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f6', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 20], [-2, -20]], [[2, 8], [2, -8]], [[-2, 4], [-2, -4]], [[2, 16], [2, -16]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 16], [2, -16]], [[-2, 8], [-2, -8]], [[-2, 8], [-2, -8]], [[2, 8], [2, -8]], [[2, 4], [2, -4]], [[2, 20], [2, -20]], [[-2, 4], [-2, -4]], [[-2, 16], [-2, -16]], [[2, 20], [2, -20]], [[2, 12], [2, -12]], [[2, 4], [2, -4]], [[-2, 12], [-2, -12]], [[-2, 20], [-2, -20]], [[-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, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 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, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[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, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 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]]]}
  • id: 29870622
    {'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': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f7', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[-2, 4], [-2, -4]], [[2, 20], [2, -20]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[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, 5], [-1, 17], [-1, 27], [-1, 39]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 1], [1, 3], [-1, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [-1, 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, 9], [1, 13], [1, 31], [1, 35]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [1, 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]]]}
  • id: 29870624
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 90, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f8', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 12], [-2, -12]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[-2, 8], [-2, -8]], [[-2, 4], [-2, -4]], [[2, 20], [2, -20]], [[2, 20], [2, -20]], [[-2, 20], [-2, -20]], [[2, 12], [2, -12]], [[-2, 16], [-2, -16]], [[-2, 12], [-2, -12]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 12], [2, -12]], [[2, 8], [2, -8]], [[2, 16], [2, -16]], [[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, 5], [1, 17], [1, 27], [1, 39]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [1, 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, 9], [-1, 13], [-1, 31], [-1, 35]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-1, 1], [1, 3], [-1, 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]]]}
  • id: 29870625
    {'center': '176.a1.a1', 'center_index': 176, 'center_order': 4, 'counter': 91, 'cyclotomic_n': 88, 'dim': 4, 'faithful': False, 'field': [352, 0, 880, 0, 616, 0, 176, 0, 22, 0, 1], 'group': '704.421', 'group_counter': 421, 'group_order': 704, 'image': None, 'image_isoclass': '352.113', 'image_order': 352, 'indicator': 0, 'kernel': '352.b1.a1', 'kernel_order': 2, 'label': '704.421.4f9', 'nt': [176, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8], [2, -8]], [[-2, 12], [-2, -12]], [[2, 16], [2, -16]], [[-2, 20], [-2, -20]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 20], [-2, -20]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 16], [-2, -16]], [[-2, 8], [-2, -8]], [[2, 16], [2, -16]], [[2, 20], [2, -20]], [[-2, 8], [-2, -8]], [[2, 4], [2, -4]], [[-2, 16], [-2, -16]], [[-2, 4], [-2, -4]], [[2, 8], [2, -8]], [[2, 20], [2, -20]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 1], [-1, 3], [1, 7], [-1, 11], [1, 15], [-1, 19], [1, 21], [2, 23], [-1, 27], [1, 31], [-1, 35], [1, 39]], [[-1, 5], [-1, 17], [-1, 27], [-1, 39]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 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, 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, 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, 7], [1, 11], [-1, 15], [1, 19], [-1, 21], [-2, 23], [1, 27], [-1, 31], [1, 35], [-1, 39]], [[1, 1], [-1, 3], [-1, 5], [1, 9], [-1, 13], [1, 17], [1, 19], [-1, 21], [2, 25], [-1, 29], [1, 33], [-1, 37]], [[-1, 7], [1, 15], [1, 29], [-1, 37]], [[1, 7], [-1, 15], [-1, 29], [1, 37]], [[1, 9], [1, 13], [1, 31], [1, 35]], [[-1, 1], [1, 3], [1, 5], [-1, 9], [1, 13], [-1, 17], [-1, 19], [1, 21], [-2, 25], [1, 29], [-1, 33], [1, 37]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[1, 5], [1, 17], [1, 27], [1, 39]], [[-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: 110666265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 704, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 22, 'label': '704.421.1.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': '704.421', 'subgroup_hash': 421, 'subgroup_order': 704, 'subgroup_tex': 'C_{88}:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
  • id: 110666297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.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': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.88', 'subgroup_hash': 88, 'subgroup_order': 352, 'subgroup_tex': 'D_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.15', 'subgroup_hash': 15, 'subgroup_order': 352, 'subgroup_tex': 'D_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '352.97', 'subgroup_hash': 97, 'subgroup_order': 352, 'subgroup_tex': 'C_8:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110666330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 352, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '352.56', 'subgroup_hash': 56, 'subgroup_order': 352, 'subgroup_tex': 'C_8:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.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': '352.16', 'subgroup_hash': 16, 'subgroup_order': 352, 'subgroup_tex': 'C_4.D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 352, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, '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': '352.82', 'subgroup_hash': 82, 'subgroup_order': 352, 'subgroup_tex': 'C_{11}:(C_4\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 110666363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 352, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.2.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': '352.21', 'subgroup_hash': 21, 'subgroup_order': 352, 'subgroup_tex': 'C_{88}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '176.29', 'subgroup_hash': 29, 'subgroup_order': 176, 'subgroup_tex': 'C_2\\times D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 110666277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 176, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.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: 110666288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.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': '176.10', 'subgroup_hash': 10, 'subgroup_order': 176, 'subgroup_tex': 'C_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 176, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '176.27', 'subgroup_hash': 27, 'subgroup_order': 176, 'subgroup_tex': 'C_{22}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666291
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 176, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.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: 110666292
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 176, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.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: 110666293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.5', 'subgroup_hash': 5, 'subgroup_order': 176, 'subgroup_tex': 'C_{88}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.5', 'subgroup_hash': 5, 'subgroup_order': 176, 'subgroup_tex': 'C_{88}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.5', 'subgroup_hash': 5, 'subgroup_order': 176, 'subgroup_tex': 'C_{88}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 176, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.4.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '176.5', 'subgroup_hash': 5, 'subgroup_order': 176, 'subgroup_tex': 'C_{88}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '176.28', 'subgroup_hash': 28, 'subgroup_order': 176, 'subgroup_tex': 'C_4\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110666299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '176.13', 'subgroup_hash': 13, 'subgroup_order': 176, 'subgroup_tex': 'D_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.4.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: 110666301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 88, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '176.10', 'subgroup_hash': 10, 'subgroup_order': 176, 'subgroup_tex': 'C_{44}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666302
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 88, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['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: 110666303
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 88, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 88, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.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: 110666305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 88, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666310
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 88, 'counter': 31, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.2', 'subgroup_hash': 2, 'subgroup_order': 88, 'subgroup_tex': 'C_{88}', 'supersolvable': True, 'sylow': 0}
  • id: 110666311
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 88, 'counter': 32, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '88.2', 'subgroup_hash': 2, 'subgroup_order': 88, 'subgroup_tex': 'C_{88}', 'supersolvable': True, 'sylow': 0}
  • id: 110666312
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110666313
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666314
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 44, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '88.8', 'subgroup_hash': 8, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '88.6', 'subgroup_hash': 6, 'subgroup_order': 88, 'subgroup_tex': 'C_{22}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666316
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.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: 110666317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.k1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1.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: 110666318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.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': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 44, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666321
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 44, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '88.1', 'subgroup_hash': 1, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '704.421.11.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': '64.121', 'subgroup_hash': 121, 'subgroup_order': 64, 'subgroup_tex': '\\SD_{16}:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 110666323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 44, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.16.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: 110666324
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 44, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.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: 110666325
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 44, 'counter': 45, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.16.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': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], '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: 110666326
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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: 110666327
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 47, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.16.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': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666328
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': False, 'core_order': 22, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 110666329
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 22, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.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: 110666332
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 22, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.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: 110666333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110666334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 110666335
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666336
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 22, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.16.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': True, 'core_order': 32, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '32.14', 'subgroup_hash': 14, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.22.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: 110666340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.22.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': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110666342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.22.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': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.22.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.22.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': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666345
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.32.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': '32.43', '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: 110666346
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.32.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': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}: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: 110666347
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 22, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.32.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': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times 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: 110666348
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 11, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110666349
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 11, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.32.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 110666350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 16, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 88, 'characteristic': True, 'core_order': 16, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.44.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: 110666353
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': True, 'core_order': 16, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.44.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: 110666354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.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: 110666356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666357
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 110666358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666359
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666361
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 110666362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.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': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110666364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.l1.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': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110666365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.l1.c1', '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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110666366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.44.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44.l1.d1', '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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 110666367
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 11, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 11, 'label': '704.421.64.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': '64.121', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 121, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}:C_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: 110666368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.88.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: 110666369
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 8, 'counter': 85, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666370
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 8, 'counter': 86, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.88.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '88.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '88.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 88, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666371
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666373
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666375
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666376
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666377
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666378
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666379
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.i1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.i1.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: 110666380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.k1.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: 110666383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666384
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 99, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.88.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: 110666267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.88.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88.n1.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': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 110666269
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 4, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '704.421.176.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': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 110666270
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.176.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': '176.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 34, '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: 110666271
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 352, 'characteristic': True, 'core_order': 4, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.176.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': '176.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 176, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{22}', '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: 110666272
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.176.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: 110666273
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.176.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666274
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 176, 'characteristic': False, 'core_order': 2, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.176.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: 110666275
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.176.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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666276
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.176.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: 110666278
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 110, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.176.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: 110666279
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.176.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: 110666280
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '704.421.176.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.j1.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: 110666281
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.176.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666282
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.176.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 110666283
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.352.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': '352.106', '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': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666284
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.352.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': '352.113', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 113, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:D_{11}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666285
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 2, 'counter': 117, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '704.421.352.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': '352.88', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 88, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{44}:C_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: 110666286
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.352.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: 110666287
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '704.421.352.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 110666289
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '704.421', 'ambient_counter': 421, 'ambient_order': 704, 'ambient_tex': 'C_{88}:(C_2\\times C_4)', 'central': True, 'central_factor': False, 'centralizer_order': 704, 'characteristic': True, 'core_order': 1, 'counter': 120, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '704.421.704.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': '704.421', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 421, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 704, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{88}:(C_2\\times C_4)', '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: 110666360
    {'ambient': '704.421', 'aut_centralizer_order': 80, 'aut_label': '44.j1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '22.f1.a1'], 'contains': ['88.e1.a1', '88.f1.a1', '88.h1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3872, -1, 2592, -1, 4036, -1, 3710, -1], 'generators': [9, 270], 'label': '704.421.44.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.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: 110666303
    {'ambient': '704.421', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '44.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.g1.a1', '88.f1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1734, 2560, 1988, 1545, 1686, 1033, 1780, 2527], 'generators': [3, 4, 64, 352], 'label': '704.421.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.d1.a1'], 'normal_contains': ['16.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666265
    {'ambient': '704.421', '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': [7612, 4908, 6341, 3923, 6289, 4849, 5609, 2970], 'generators': [1, 352, 88, 4, 2, 64, 176], 'label': '704.421.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.b1.a1', '2.a1.a1', '2.c1.a1', '2.d1.a1', '2.f1.a1', '2.e1.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: 110666266
    {'ambient': '704.421', 'aut_centralizer_order': 176, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '160.229', 'aut_weyl_index': 176, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '44.a1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4902, 7270, 3762, 1633, 3756, 4292, 3597, 3717], 'generators': [2, 64, 4, 176, 352], 'label': '704.421.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '44.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666267
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '88.n1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '44.h1.a1', '44.l1.a1', '44.l1.c1'], 'contains': ['176.c1.a1', '176.k1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8496, -1, 8627, -1, 8843, -1, 7940, -1], 'generators': [9, 176], 'label': '704.421.88.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.n1.a1', 'projective_image': '352.88', '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': '8.3'}
  • id: 110666268
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '88.n1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '44.h1.a1', '44.l1.b1', '44.l1.d1'], 'contains': ['176.c1.a1', '176.k1.b1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8496, -1, 8992, -1, 8843, -1, 8674, -1], 'generators': [13, 176], 'label': '704.421.88.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.n1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.n1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110666269
    {'ambient': '704.421', 'aut_centralizer_order': 28160, 'aut_label': '176.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1', '88.c1.a1', '88.d1.a1', '88.e1.a1', '88.f1.a1', '88.g1.a1', '88.h1.a1'], 'contains': ['352.a1.a1', '352.b1.a1', '352.c1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3132, 3409, 3005, 1748, 3659, 5929, 3638, 4053], 'generators': [4, 352], 'label': '704.421.176.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: 110666270
    {'ambient': '704.421', 'aut_centralizer_order': 14080, 'aut_label': '176.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '2.g1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.a1.a1', '88.j1.a1', '88.l1.a1', '88.m1.a1'], 'contains': ['352.c1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6738, 4222, 6177, 2378, 6607, 6445, 5754, 4933], 'generators': [180], 'label': '704.421.176.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.b1.a1', 'normal_contained_in': ['16.b1.a1', '88.a1.a1'], 'normal_contains': ['352.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.b1.a1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.4', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666271
    {'ambient': '704.421', 'aut_centralizer_order': 14080, 'aut_label': '176.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '2.g1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '88.a1.a1', '88.b1.a1', '88.b1.b1', '88.k1.a1', '88.k1.b1', '88.n1.a1', '88.n1.b1'], 'contains': ['352.c1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8381, 5572, 8627, 7084, 8489, 6928, 8114, 6027], 'generators': [176], 'label': '704.421.176.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '176.c1.a1', 'normal_contained_in': ['16.c1.a1', '88.a1.a1', '88.b1.b1', '88.b1.a1'], 'normal_contains': ['352.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '176.c1.a1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '88.6', 'quotient_action_kernel_order': 88, 'quotient_fusion': None, 'short_label': '176.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666272
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '176.d1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '88.c1.a1', '88.i1.a1', '88.i1.a2'], 'contains': ['352.a1.a1', '352.d1.a1', '352.d1.b1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [756, -1, 665, -1, 1709, -1, 2208, -1], 'generators': [1, 4], 'label': '704.421.176.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '176.d1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666273
    {'ambient': '704.421', 'aut_centralizer_order': 3520, 'aut_label': '176.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '88.d1.a1', '88.i1.a1', '88.i1.a2'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [242, -1, 452, -1, 832, -1, 1232, -1], 'generators': [2], 'label': '704.421.176.e1.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.e1.a1', 'projective_image': '352.106', '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': '1.1'}
  • id: 110666274
    {'ambient': '704.421', 'aut_centralizer_order': 3520, 'aut_label': '176.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '4.l1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '88.e1.a1'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1008, -1, 880, -1, 2194, -1, 2606, -1], 'generators': [270], 'label': '704.421.176.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '176.f1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666275
    {'ambient': '704.421', 'aut_centralizer_order': 640, 'aut_label': '176.g1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '88.f1.a1', '88.i1.a1', '88.i1.a2'], 'contains': ['352.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [504, -1, 251, -1, 1336, -1, 1483, -1], 'generators': [3], 'label': '704.421.176.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '176.g1.a1', 'projective_image': '352.106', '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': '1.1'}
  • id: 110666276
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '176.h1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '88.c1.a1'], 'contains': ['352.b1.a1', '352.d1.a1', '352.d1.b1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1486, -1, 1214, -1, 2948, -1, 3010, -1], 'generators': [1, 356], 'label': '704.421.176.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '176.h1.a1', 'projective_image': '352.113', '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: 110666277
    {'ambient': '704.421', '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.a1.a1', '8.i1.a1', '44.b1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6296, 1994, 5489, 2904, 4898, 6895, 4534, 2681], 'generators': [270, 64, 4, 176, 352], 'label': '704.421.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '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: 110666278
    {'ambient': '704.421', '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': '22.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '88.g1.a1'], 'contains': ['352.b1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2115, -1, 4074, -1, 3433, -1, 3824, -1], 'generators': [339], 'label': '704.421.176.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '176.i1.a1', 'projective_image': '352.113', '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': '1.1'}
  • id: 110666279
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '88.c1.a1', '88.j1.a1', '88.k1.a1'], 'contains': ['352.c1.a1', '352.d1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4477, -1, 3545, -1, 5913, -1, 4729, -1], 'generators': [5, 352], 'label': '704.421.176.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '176.j1.a1', 'projective_image': '352.88', '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: 110666280
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.b1', '88.c1.a1', '88.j1.a1', '88.k1.b1'], 'contains': ['352.c1.a1', '352.d1.b1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4477, -1, 3255, -1, 5913, -1, 5031, -1], 'generators': [1, 352], 'label': '704.421.176.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '176.j1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666281
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '176.k1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '88.h1.a1', '88.l1.a1', '88.n1.a1'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8028, -1, 7258, -1, 7489, -1, 6314, -1], 'generators': [9], 'label': '704.421.176.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '176.k1.a1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666282
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '176.k1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '2.1', 'aut_weyl_index': 14080, 'centralizer': '44.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.b1', '88.h1.a1', '88.l1.a1', '88.n1.b1'], 'contains': ['352.c1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8028, -1, 7457, -1, 7489, -1, 6601, -1], 'generators': [13], 'label': '704.421.176.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '176.k1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.k1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666283
    {'ambient': '704.421', '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.f1.a1', '176.g1.a1'], 'contains': ['704.a1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [756, 3155, 665, 866, 1959, 5305, 2413, 3183], 'generators': [4], 'label': '704.421.352.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': '352.106', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.106', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666284
    {'ambient': '704.421', 'aut_centralizer_order': 28160, 'aut_label': '352.b1', '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.b1.a1', '176.a1.a1', '176.h1.a1', '176.i1.a1'], 'contains': ['704.a1.a1'], 'core': '352.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1682, 2645, 3005, 1468, 3306, 5788, 3432, 4037], 'generators': [356], 'label': '704.421.352.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.b1.a1', 'normal_contained_in': ['32.b1.a1', '176.a1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '352.b1.a1', 'projective_image': '352.113', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.113', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666285
    {'ambient': '704.421', 'aut_centralizer_order': 28160, 'aut_label': '352.c1', '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': ['32.c1.a1', '176.a1.a1', '176.b1.a1', '176.c1.a1', '176.j1.a1', '176.j1.b1', '176.k1.a1', '176.k1.b1'], 'contains': ['704.a1.a1'], 'core': '352.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4477, 3833, 4361, 2077, 6192, 6271, 5399, 4506], 'generators': [352], 'label': '704.421.352.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '352.c1.a1', 'normal_contained_in': ['32.c1.a1', '176.a1.a1', '176.c1.a1', '176.b1.a1'], 'normal_contains': ['704.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '352.c1.a1', 'projective_image': '352.88', 'quotient_action_image': '1.1', 'quotient_action_kernel': '352.88', 'quotient_action_kernel_order': 352, 'quotient_fusion': None, 'short_label': '352.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666286
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '352.d1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '176.d1.a1', '176.h1.a1', '176.j1.a1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1368, -1, 1398, -1, 2836, -1, 2860, -1], 'generators': [5], 'label': '704.421.352.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '352.d1.a1', 'projective_image': '704.421', '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: 110666287
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '352.d1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '1.1', 'aut_weyl_index': 28160, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1', '176.d1.a1', '176.h1.a1', '176.j1.b1'], 'contains': ['704.a1.a1'], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1368, -1, 1197, -1, 2836, -1, 3034, -1], 'generators': [1], 'label': '704.421.352.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.d1.a1', 'old_label': '352.d1.b1', 'projective_image': '704.421', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666288
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '4.d1', '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.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '44.g1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5537, 622, 4843, 569, 4327, 590, 4065, 611], 'generators': [3, 4, 352, 176, 64], 'label': '704.421.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.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': '88.11'}
  • id: 110666289
    {'ambient': '704.421', 'aut_centralizer_order': None, 'aut_label': '704.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '352.a1.a1', '352.b1.a1', '352.c1.a1', '352.d1.a1', '352.d1.b1'], 'contains': [], 'core': '704.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1368, 2899, 1637, 1321, 3071, 5547, 3130, 3823], 'generators': [], 'label': '704.421.704.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': '704.421', '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: 110666290
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '8.e1.b1', '8.j1.a1', '8.m1.a1', '44.h1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7638, 5898, 7502, 5929, 8263, 5593, 7297, 5243], 'generators': [9, 176, 352, 4, 64], 'label': '704.421.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.c1.a1', '2.f1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '8.e1.a1', '8.e1.b1'], '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: 110666291
    {'ambient': '704.421', '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.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '8.f1.b1', '44.c1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9372, 9378, 9112, 9518, 9437, 8894, 8261, 7073], 'generators': [4, 64, 176, 88, 352], 'label': '704.421.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '8.f1.b1', '8.f1.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: 110666292
    {'ambient': '704.421', '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.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.n1.a1', '44.i1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8489, 3366, 6856, 3967, 7169, 1891, 6399, 1646], 'generators': [11, 180, 352, 176, 64], 'label': '704.421.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.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: 110666293
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': ['176.e1.a1', '176.f1.a1', '176.g1.a1', '176.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.d1.a1', '8.e1.a1', '8.f1.b1', '44.l1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9834, 8381, 8388, 8745, 9852, 7948, 8601, 9096], 'generators': [9, 176, 352, 92, 64], 'label': '704.421.4.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.a1', '8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666294
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': ['176.e1.a1', '176.f1.a1', '176.g1.a1', '176.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.d1.a1', '8.e1.b1', '8.f1.a1', '44.l1.b1'], 'core': '4.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9834, 8381, 9836, 8093, 9852, 7948, 9464, 8461], 'generators': [5, 176, 352, 88, 64], 'label': '704.421.4.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.b1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.b1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.b1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666295
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': ['176.e1.a1', '176.f1.a1', '176.g1.a1', '176.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.d1.b1', '8.e1.a1', '8.f1.a1', '44.l1.c1'], 'core': '4.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9834, 8381, 9505, 6789, 9852, 7948, 8889, 7825], 'generators': [1, 176, 352, 88, 64], 'label': '704.421.4.h1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.d1.b1', '8.e1.a1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.c1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.c1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666296
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1760.1090', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': ['176.e1.a1', '176.f1.a1', '176.g1.a1', '176.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.d1.b1', '8.e1.b1', '8.f1.b1', '44.l1.d1'], 'core': '4.h1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9834, 8381, 8719, 7441, 9852, 7948, 9176, 9730], 'generators': [1, 176, 352, 92, 64], 'label': '704.421.4.h1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['8.d1.b1', '8.e1.b1', '8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.d1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.d1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666297
    {'ambient': '704.421', '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.d1.a1', '4.i1.a1', '4.j1.a1', '22.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4902, 4908, 3762, 975, 3756, 2830, 3597, 1363], 'generators': [1, 64, 176, 4, 2, 352], 'label': '704.421.2.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.d1.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: 110666298
    {'ambient': '704.421', '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': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.g1.a1', '8.h1.a1', '8.k1.a1', '8.k1.a2', '44.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1439, -1, 1384, -1, 1300, -1, 1348, -1], 'generators': [1, 352, 4, 2, 64], 'label': '704.421.4.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': '44.3'}
  • id: 110666299
    {'ambient': '704.421', 'aut_centralizer_order': 8, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 16, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.g1.a1', '8.h1.a1', '44.e1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3240, -1, 2621, -1, 1968, -1, 2130, -1], 'generators': [337, 4, 352, 2, 64], 'label': '704.421.4.j1.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.j1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': '88.11'}
  • id: 110666300
    {'ambient': '704.421', '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.f1.a1'], 'contains': ['8.b1.a1', '8.i1.a1', '8.j1.a1', '44.j1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3629, -1, 3105, -1, 2318, -1, 2418, -1], 'generators': [9, 4, 352, 270, 64], 'label': '704.421.4.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.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: 110666301
    {'ambient': '704.421', 'aut_centralizer_order': 8, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1760.1272', 'aut_weyl_index': 16, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1'], 'contains': ['8.c1.a1', '8.i1.a1', '8.j1.a1', '44.k1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4143, -1, 4302, -1, 2780, -1, 3128, -1], 'generators': [345, 4, 352, 270, 64], 'label': '704.421.4.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '4.l1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666302
    {'ambient': '704.421', 'aut_centralizer_order': 1408, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '88.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6693, 5085, 6530, 3967, 6672, 4641, 5874, 3759], 'generators': [4, 64, 352, 176], 'label': '704.421.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.c1.a1', '4.b1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '88.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '176.31', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666322
    {'ambient': '704.421', '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': [8463, -1, 6154, -1, 6504, -1, 5785, -1], 'generators': [1, 2, 88], 'label': '704.421.11.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: 110666304
    {'ambient': '704.421', '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': '44.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '88.g1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3633, 1005, 4286, 482, 3133, 2703, 3365, 894], 'generators': [339, 356, 64, 352], 'label': '704.421.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.d1.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': '44.3'}
  • id: 110666305
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 32, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.h1.a1', '4.h1.b1'], 'contains': ['16.c1.a1', '16.j1.a1', '88.k1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7232, 5975, 8223, 7359, 8951, 5486, 7746, 8621], 'generators': [5, 352, 64, 176], 'label': '704.421.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.a1.a1', '4.h1.a1', '4.h1.b1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '352.88', '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': '176.31'}
  • id: 110666306
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 32, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.h1.c1', '4.h1.d1'], 'contains': ['16.c1.a1', '16.j1.b1', '88.k1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7232, 5975, 7212, 5567, 8951, 5486, 8488, 7511], 'generators': [1, 352, 64, 176], 'label': '704.421.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.a1.a1', '4.h1.c1', '4.h1.d1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666307
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 32, 'centralizer': '176.a1.a1', 'complements': ['88.i1.a1', '88.i1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.h1.a1', '4.h1.c1'], 'contains': ['16.c1.a1', '16.k1.a1', '88.n1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8479, 6712, 8513, 6789, 9257, 6184, 8237, 6956], 'generators': [9, 352, 64, 176], 'label': '704.421.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.e1.a1', '4.h1.a1', '4.h1.c1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666308
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.g1.a1', '22.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7347, 2779, 6202, 4806, 6077, 4849, 5435, 2970], 'generators': [1, 64, 4, 528, 270, 352], 'label': '704.421.2.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.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666309
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 32, 'centralizer': '176.a1.a1', 'complements': ['88.i1.a1', '88.i1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.h1.b1', '4.h1.d1'], 'contains': ['16.c1.a1', '16.k1.b1', '88.n1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8479, 6712, 8953, 6137, 9257, 6184, 9427, 8066], 'generators': [13, 352, 64, 176], 'label': '704.421.8.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.e1.a1', '4.h1.b1', '4.h1.d1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666310
    {'ambient': '704.421', 'aut_centralizer_order': 352, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '4.f1.a1', 'complements': ['88.i1.a1', '88.i1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.h1.b1', '4.h1.c1'], 'contains': ['16.c1.a1', '88.b1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9886, 8451, 9805, 7847, 9852, 7525, 9915, 6401], 'generators': [88, 176, 352, 64], 'label': '704.421.8.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.f1.a1', '4.h1.b1', '4.h1.c1'], 'normal_contains': ['16.c1.a1', '88.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666311
    {'ambient': '704.421', 'aut_centralizer_order': 352, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '4.f1.a1', 'complements': ['88.i1.a1', '88.i1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.h1.a1', '4.h1.d1'], 'contains': ['16.c1.a1', '88.b1.b1'], 'core': '8.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9886, 8451, 9243, 8329, 9852, 7525, 9176, 9096], 'generators': [92, 176, 352, 64], 'label': '704.421.8.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': ['4.f1.a1', '4.h1.a1', '4.h1.d1'], 'normal_contains': ['16.c1.a1', '88.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.b1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666312
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.i1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.h1.a1', '16.j1.a1', '16.j1.b1', '88.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2890, -1, 2621, -1, 2241, -1, 2512, -1], 'generators': [1, 352, 64, 4], 'label': '704.421.8.g1.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.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666313
    {'ambient': '704.421', 'aut_centralizer_order': 352, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '8.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.i1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '88.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1149, -1, 1384, -1, 1159, -1, 1348, -1], 'generators': [2, 64, 4, 352], 'label': '704.421.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666314
    {'ambient': '704.421', 'aut_centralizer_order': 352, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '40.14', 'aut_weyl_index': 704, 'centralizer': '8.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.k1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '88.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2320, -1, 3105, -1, 3659, -1, 2932, -1], 'generators': [270, 64, 4, 352], 'label': '704.421.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.i1.a1', 'projective_image': '176.31', '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': '4.2'}
  • id: 110666315
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '440.42', 'aut_weyl_index': 64, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.k1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.k1.a1', '16.k1.b1', '88.h1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4517, -1, 6032, -1, 4698, -1, 4674, -1], 'generators': [9, 352, 64, 4], 'label': '704.421.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.j1.a1', 'projective_image': '176.31', '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': '44.3'}
  • id: 110666316
    {'ambient': '704.421', 'aut_centralizer_order': 8, 'aut_label': '8.k1', '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.i1.a1'], 'contains': ['16.d1.a1', '16.e1.a1', '16.g1.a1', '88.i1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [455, -1, 356, -1, 215, -1, 176, -1], 'generators': [1, 4, 64, 2], 'label': '704.421.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '8.k1.a1', 'projective_image': '352.106', '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': '22.1'}
  • id: 110666317
    {'ambient': '704.421', 'aut_centralizer_order': 8, 'aut_label': '8.k1', '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.i1.a1'], 'contains': ['16.d1.a1', '16.e1.a1', '16.g1.a1', '88.i1.a2'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [455, -1, 813, -1, 215, -1, 572, -1], 'generators': [33, 4, 64, 2], 'label': '704.421.8.k1.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '8.k1.a2', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a2', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110666318
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 32, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.j1.a1', '16.j1.b1', '88.j1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6244, -1, 3456, -1, 5898, -1, 5239, -1], 'generators': [1, 352, 64, 180], 'label': '704.421.8.l1.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.l1.a1', 'projective_image': '352.88', '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': '88.11'}
  • id: 110666319
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.e1.a1', '4.f1.a1', '4.h1.a1', '4.h1.b1', '4.h1.c1', '4.h1.d1', '22.d1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9245, 7157, 8719, 7112, 8566, 7411, 8261, 7447], 'generators': [1, 64, 88, 176, 4, 352], 'label': '704.421.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.e1.a1', '4.f1.a1', '4.h1.a1', '4.h1.b1', '4.h1.c1', '4.h1.d1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666320
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '880.118', 'aut_weyl_index': 32, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.b1.a1', '16.k1.a1', '16.k1.b1', '88.l1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7573, -1, 7502, -1, 8645, -1, 6833, -1], 'generators': [9, 352, 64, 180], 'label': '704.421.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.m1.a1', 'projective_image': '352.88', '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': '88.11'}
  • id: 110666321
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '8.n1', '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.b1.a1', '88.m1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8090, -1, 6923, -1, 7489, -1, 6546, -1], 'generators': [11, 352, 64, 180], 'label': '704.421.8.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '8.n1.a1', 'projective_image': '352.88', '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': '44.3'}
  • id: 110666323
    {'ambient': '704.421', '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.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.g1.a1', '8.h1.a1', '8.i1.a1', '8.j1.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': [2428, 2751, 3305, 1458, 3659, 4547, 3326, 3599], 'generators': [4, 64, 352], 'label': '704.421.16.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: 110666324
    {'ambient': '704.421', 'aut_centralizer_order': 1408, 'aut_label': '16.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.l1.a1', '8.m1.a1', '8.n1.a1'], 'contains': ['32.c1.a1', '176.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6591, 4094, 5701, 2148, 6772, 5393, 5889, 4336], 'generators': [180, 352, 64], 'label': '704.421.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.c1.a1', '176.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666325
    {'ambient': '704.421', 'aut_centralizer_order': 1408, 'aut_label': '16.c1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.c1.a1', '176.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7661, 5975, 8680, 6789, 8607, 6057, 8481, 6678], 'generators': [176, 352, 64], 'label': '704.421.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1', '8.f1.b1', '8.f1.a1'], 'normal_contains': ['32.c1.a1', '176.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666326
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '16.d1', '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.g1.a1', '8.k1.a1', '8.k1.a2'], 'contains': ['32.a1.a1', '32.d1.a1', '32.d1.b1', '176.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1086, -1, 1030, -1, 1371, -1, 1734, -1], 'generators': [1, 64, 4], 'label': '704.421.16.d1.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.d1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110666327
    {'ambient': '704.421', '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.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.k1.a1', '8.k1.a2'], 'contains': ['32.a1.a1', '176.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [114, -1, 537, -1, 759, -1, 1232, -1], 'generators': [2, 4, 64], 'label': '704.421.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.e1.a1', 'projective_image': '352.106', '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: 110666328
    {'ambient': '704.421', 'aut_centralizer_order': 352, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '20.5', 'aut_weyl_index': 1408, 'centralizer': '8.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1'], 'contains': ['32.a1.a1', '176.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [796, -1, 783, -1, 2033, -1, 2606, -1], 'generators': [270, 4, 64], 'label': '704.421.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '16.f1.a1', 'projective_image': '352.106', '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': '2.1'}
  • id: 110666329
    {'ambient': '704.421', 'aut_centralizer_order': 64, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '44.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.k1.a1', '8.k1.a2'], 'contains': ['32.a1.a1', '176.g1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [455, -1, 247, -1, 1065, -1, 1483, -1], 'generators': [3, 64, 4], 'label': '704.421.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.g1.a1', 'projective_image': '352.106', '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': '22.1'}
  • id: 110666330
    {'ambient': '704.421', 'aut_centralizer_order': 44, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '640.21528', 'aut_weyl_index': 44, 'centralizer': '16.a1.a1', 'complements': ['352.d1.b1', '352.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.f1.a1', '22.a1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6676, 8529, 5706, 2954, 5554, 8713, 5005, 4779], 'generators': [2, 352, 64, 4, 88, 528], 'label': '704.421.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.b1.a1', '4.f1.a1', '22.a1.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': '16.11'}
  • id: 110666331
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '16.h1', '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.g1.a1'], 'contains': ['32.b1.a1', '32.d1.a1', '32.d1.b1', '176.h1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1722, -1, 1843, -1, 2294, -1, 2821, -1], 'generators': [1, 64, 356], 'label': '704.421.16.h1.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.h1.a1', 'projective_image': '352.113', '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: 110666332
    {'ambient': '704.421', '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': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1'], 'contains': ['32.b1.a1', '176.i1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2890, -1, 4171, -1, 3245, -1, 3667, -1], 'generators': [339, 64, 356], 'label': '704.421.16.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.i1.a1', 'projective_image': '352.113', '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': '22.1'}
  • id: 110666333
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '16.j1', '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.d1.a1', '8.g1.a1', '8.l1.a1'], 'contains': ['32.c1.a1', '32.d1.a1', '176.j1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3904, -1, 2846, -1, 5898, -1, 4628, -1], 'generators': [5, 64, 352], 'label': '704.421.16.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.j1.a1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666334
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '16.j1', '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.d1.b1', '8.g1.a1', '8.l1.a1'], 'contains': ['32.c1.a1', '32.d1.b1', '176.j1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3904, -1, 2599, -1, 5898, -1, 4843, -1], 'generators': [1, 64, 352], 'label': '704.421.16.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.j1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666335
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.j1.a1', '8.m1.a1'], 'contains': ['32.c1.a1', '176.k1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7320, -1, 7154, -1, 7489, -1, 6314, -1], 'generators': [9, 64, 352], 'label': '704.421.16.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.k1.a1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666336
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '220.7', 'aut_weyl_index': 128, 'centralizer': '88.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '8.j1.a1', '8.m1.a1'], 'contains': ['32.c1.a1', '176.k1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7320, -1, 7485, -1, 7489, -1, 6601, -1], 'generators': [13, 64, 352], 'label': '704.421.16.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.k1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.b1', 'subgroup_fusion': None, 'weyl_group': '44.3'}
  • id: 110666337
    {'ambient': '704.421', '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.d1.b1', '32.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.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': [6221, 7836, 5054, 3058, 5724, 9752, 5213, 4480], 'generators': [2, 88], 'label': '704.421.22.a1.a1', 'mobius_quo': 0, 'mobius_sub': 11, 'normal_closure': '22.a1.a1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['44.b1.a1', '44.a1.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: 110666338
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '88.f1.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.g1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [4896, -1, 4522, -1, 3268, -1, 2727, -1], 'generators': [1, 2, 176], 'label': '704.421.22.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': '8.3'}
  • id: 110666339
    {'ambient': '704.421', '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.b1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.f1.a1', '44.i1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7275, -1, 6013, -1, 6477, -1, 5435, -1], 'generators': [1, 270], 'label': '704.421.22.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.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: 110666340
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '22.d1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.f1.a1', '44.h1.a1', '44.l1.a1', '44.l1.b1', '44.l1.c1', '44.l1.d1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9045, -1, 8600, -1, 8872, -1, 7797, -1], 'generators': [1, 4, 88], 'label': '704.421.22.d1.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.d1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666359
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '44.i1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3520, 'centralizer': '44.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '22.c1.a1', '22.e1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.m1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7580, -1, 6617, -1, 7113, -1, 6237, -1], 'generators': [11, 176], 'label': '704.421.44.i1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.i1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666341
    {'ambient': '704.421', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '176.a1.a1', 'complements': ['352.d1.b1', '352.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.g1.a1', '22.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7874, 5898, 6833, 5688, 6930, 3769, 6135, 3829], 'generators': [9, 64, 4, 528, 2, 352], 'label': '704.421.2.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.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '176.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '176.31'}
  • id: 110666342
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '22.e1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '64.261', 'aut_weyl_index': 440, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '11.a1.a1'], 'contains': ['44.a1.a1', '44.h1.a1', '44.i1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7700, -1, 6480, -1, 6748, -1, 6053, -1], 'generators': [9, 2], 'label': '704.421.22.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666343
    {'ambient': '704.421', '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': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '11.a1.a1'], 'contains': ['44.b1.a1', '44.g1.a1', '44.h1.a1', '44.j1.a1', '44.k1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5685, -1, 5375, -1, 5386, -1, 4935, -1], 'generators': [9, 270, 176], 'label': '704.421.22.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '22.f1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110666344
    {'ambient': '704.421', 'aut_centralizer_order': 80, 'aut_label': '22.g1', '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.g1.a1', '11.a1.a1'], 'contains': ['44.c1.a1', '44.g1.a1', '44.i1.a1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8267, -1, 6961, -1, 7716, -1, 6848, -1], 'generators': [3, 88], 'label': '704.421.22.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': '8.5'}
  • id: 110666345
    {'ambient': '704.421', 'aut_centralizer_order': 2816, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '16.f1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '352.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [504, 2751, 732, 564, 1959, 4178, 2413, 3130], 'generators': [4, 64], 'label': '704.421.32.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '352.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.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.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666346
    {'ambient': '704.421', 'aut_centralizer_order': 2816, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.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': [1918, 2129, 3219, 1046, 3198, 4769, 3432, 3599], 'generators': [356, 64], 'label': '704.421.32.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '352.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '352.113', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.9', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666347
    {'ambient': '704.421', 'aut_centralizer_order': 2816, 'aut_label': '32.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.j1.a1', '16.j1.b1', '16.k1.a1', '16.k1.b1'], 'contains': ['64.a1.a1', '352.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3777, 3373, 3796, 1529, 6192, 5359, 5399, 4506], 'generators': [352, 64], 'label': '704.421.32.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '352.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '352.88', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.4', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666348
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '110.1', 'aut_weyl_index': 256, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.h1.a1', '16.j1.a1'], 'contains': ['64.a1.a1', '352.d1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1086, -1, 1863, -1, 2694, -1, 2802, -1], 'generators': [5, 64], 'label': '704.421.32.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '32.d1.a1', 'projective_image': '704.421', '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': '22.1'}
  • id: 110666349
    {'ambient': '704.421', 'aut_centralizer_order': 32, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '110.1', 'aut_weyl_index': 256, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.h1.a1', '16.j1.b1'], 'contains': ['64.a1.a1', '352.d1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1086, -1, 1615, -1, 2694, -1, 3217, -1], 'generators': [1, 64], 'label': '704.421.32.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '32.d1.b1', 'projective_image': '704.421', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.b1', 'subgroup_fusion': None, 'weyl_group': '22.1'}
  • id: 110666350
    {'ambient': '704.421', 'aut_centralizer_order': 1760, 'aut_label': '44.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.a1.a1', '22.b1.a1', '22.e1.a1'], 'contains': ['88.a1.a1', '88.d1.a1'], 'core': '44.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5102, 7136, 4575, 2909, 5119, 6895, 4130, 4933], 'generators': [2, 176], 'label': '704.421.44.a1.a1', 'mobius_quo': 0, 'mobius_sub': -22, 'normal_closure': '44.a1.a1', 'normal_contained_in': ['4.b1.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': '8.3'}
  • id: 110666351
    {'ambient': '704.421', '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.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.a1.a1', '22.c1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '88.e1.a1'], 'core': '44.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6035, 4710, 4899, 3414, 5630, 8129, 5019, 4442], 'generators': [270, 176], 'label': '704.421.44.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: 110666352
    {'ambient': '704.421', '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.b1', '352.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.d1.a1', '4.e1.a1', '4.k1.a1', '4.l1.a1', '22.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5916, 1486, 5152, 1863, 4898, 6076, 4524, 499], 'generators': [9, 64, 176, 4, 270, 352], 'label': '704.421.2.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.d1.a1', '4.e1.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: 110666353
    {'ambient': '704.421', '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.d1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.b1.a1', '88.b1.b1'], 'core': '44.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8708, 7942, 9285, 6953, 8269, 8894, 7473, 5803], 'generators': [4, 88], 'label': '704.421.44.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', '88.b1.b1', '88.b1.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: 110666354
    {'ambient': '704.421', 'aut_centralizer_order': 80, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '22.b1.a1'], 'contains': ['88.c1.a1', '88.d1.a1', '88.f1.a1', '88.i1.a1', '88.i1.a2'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1990, -1, 1504, -1, 688, -1, 961, -1], 'generators': [1, 2, 352], 'label': '704.421.44.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': '2.1'}
  • id: 110666355
    {'ambient': '704.421', 'aut_centralizer_order': 80, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1760, 'centralizer': '88.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '22.b1.a1'], 'contains': ['88.c1.a1', '88.d1.a1', '88.g1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3286, -1, 2986, -1, 2680, -1, 2152, -1], 'generators': [337, 2], 'label': '704.421.44.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': '4.2'}
  • id: 110666356
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '88.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.b1.a1', '22.c1.a1', '22.d1.a1'], 'contains': ['88.a1.a1', '88.c1.a1', '88.j1.a1', '88.k1.a1', '88.k1.b1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7007, -1, 5842, -1, 6230, -1, 5512, -1], 'generators': [1, 4, 176], 'label': '704.421.44.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.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': '8.3'}
  • id: 110666357
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3520, 'centralizer': '44.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '22.b1.a1', '22.f1.a1', '22.g1.a1'], 'contains': ['88.a1.a1', '88.f1.a1', '88.g1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [5387, -1, 5369, -1, 5374, -1, 4341, -1], 'generators': [3, 176], 'label': '704.421.44.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666358
    {'ambient': '704.421', '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.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '22.d1.a1', '22.e1.a1', '22.f1.a1'], 'contains': ['88.a1.a1', '88.h1.a1', '88.l1.a1', '88.n1.a1', '88.n1.b1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [8028, -1, 7357, -1, 7866, -1, 7142, -1], 'generators': [9, 4, 176], 'label': '704.421.44.h1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.h1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110666361
    {'ambient': '704.421', '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': '44.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '22.f1.a1'], 'contains': ['88.e1.a1', '88.g1.a1', '88.h1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4581, -1, 5141, -1, 4292, -1, 3920, -1], 'generators': [345, 270], 'label': '704.421.44.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.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': '2.1'}
  • id: 110666362
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '22.d1.a1'], 'contains': ['88.b1.b1', '88.k1.a1', '88.n1.a1'], 'core': '88.b1.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [9693, -1, 8307, -1, 9578, -1, 7973, -1], 'generators': [9, 92], 'label': '704.421.44.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.l1.a1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666363
    {'ambient': '704.421', 'aut_centralizer_order': 8, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '88.a1.a1', 'complements': ['352.d1.b1', '352.d1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.a1', '4.g1.a1', '22.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8489, 3917, 7282, 3923, 7404, 1891, 6524, 2110], 'generators': [3, 64, 4, 176, 88, 352], 'label': '704.421.2.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.f1.a1', '4.g1.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': '88.11'}
  • id: 110666364
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '22.d1.a1'], 'contains': ['88.b1.a1', '88.k1.a1', '88.n1.b1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9693, -1, 9717, -1, 9578, -1, 9691, -1], 'generators': [5, 88], 'label': '704.421.44.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.l1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666365
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.c1', '22.d1.a1'], 'contains': ['88.b1.a1', '88.k1.b1', '88.n1.a1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [9693, -1, 8580, -1, 9578, -1, 8715, -1], 'generators': [1, 88], 'label': '704.421.44.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.l1.c1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1.c1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666366
    {'ambient': '704.421', 'aut_centralizer_order': 40, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': 44, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1760, 'centralizer': '176.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.d1', '22.d1.a1'], 'contains': ['88.b1.b1', '88.k1.b1', '88.n1.b1'], 'core': '88.b1.b1', 'coset_action_label': None, 'count': 11, 'diagramx': [9693, -1, 8958, -1, 9578, -1, 8952, -1], 'generators': [1, 92], 'label': '704.421.44.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '44.l1.d1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 110666367
    {'ambient': '704.421', 'aut_centralizer_order': 2816, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10.2', 'aut_weyl_index': 2816, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.d1.a1', '32.d1.b1'], 'contains': ['704.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [959, 2539, 1952, 1041, 3071, 4769, 3227, 3610], 'generators': [64], 'label': '704.421.64.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': '704.421', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.14', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666368
    {'ambient': '704.421', '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.g1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1', '44.f1.a1', '44.g1.a1', '44.h1.a1', '44.i1.a1'], 'contains': ['176.a1.a1', '176.b1.a1', '176.c1.a1'], 'core': '88.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6879, 5170, 6057, 3414, 6442, 6848, 5618, 4933], 'generators': [4, 176], 'label': '704.421.88.a1.a1', 'mobius_quo': 0, 'mobius_sub': 88, 'normal_closure': '88.a1.a1', 'normal_contained_in': ['8.a1.a1', '44.b1.a1', '44.a1.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: 110666369
    {'ambient': '704.421', 'aut_centralizer_order': 3520, 'aut_label': '88.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '4.f1.a1', 'complements': ['8.k1.a1', '8.k1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '44.c1.a1', '44.l1.b1', '44.l1.c1'], 'contains': ['176.c1.a1'], 'core': '88.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9340, 7942, 9686, 7084, 9316, 7545, 8848, 6027], 'generators': [88], 'label': '704.421.88.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '88.b1.a1', 'normal_contained_in': ['8.f1.a1', '44.c1.a1'], 'normal_contains': ['176.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.b1.a1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666370
    {'ambient': '704.421', 'aut_centralizer_order': 3520, 'aut_label': '88.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '4.f1.a1', 'complements': ['8.k1.a1', '8.k1.a2'], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '44.c1.a1', '44.l1.a1', '44.l1.d1'], 'contains': ['176.c1.a1'], 'core': '88.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9340, 7942, 9368, 8054, 9316, 7545, 8287, 7105], 'generators': [92], 'label': '704.421.88.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '88.b1.b1', 'normal_contained_in': ['8.f1.b1', '44.c1.a1'], 'normal_contains': ['176.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '88.b1.b1', 'projective_image': '352.88', 'quotient_action_image': '4.2', 'quotient_action_kernel': '22.2', 'quotient_action_kernel_order': 22, 'quotient_fusion': None, 'short_label': '88.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666371
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '88.c1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '44.d1.a1', '44.e1.a1', '44.f1.a1'], 'contains': ['176.a1.a1', '176.d1.a1', '176.h1.a1', '176.j1.a1', '176.j1.b1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2776, -1, 2924, -1, 2948, -1, 3029, -1], 'generators': [1, 4, 352], 'label': '704.421.88.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.c1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666372
    {'ambient': '704.421', '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.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '44.a1.a1', '44.d1.a1', '44.e1.a1'], 'contains': ['176.a1.a1', '176.e1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1829, -1, 1613, -1, 1703, -1, 2007, -1], 'generators': [2, 352], 'label': '704.421.88.d1.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.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: 110666373
    {'ambient': '704.421', 'aut_centralizer_order': 3520, 'aut_label': '88.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '4.l1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '44.b1.a1', '44.j1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.f1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3132, -1, 2607, -1, 4501, -1, 4304, -1], 'generators': [270, 352], 'label': '704.421.88.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '44.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '88.e1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666374
    {'ambient': '704.421', 'aut_centralizer_order': 16, 'aut_label': '4.a1', '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.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.g1.a1', '8.l1.a1', '44.f1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7017, 4632, 6199, 4948, 6101, 3092, 5744, 6198], 'generators': [1, 176, 352, 4, 64], 'label': '704.421.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.b1.a1', '2.a1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1'], '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': '176.31'}
  • id: 110666375
    {'ambient': '704.421', 'aut_centralizer_order': 640, 'aut_label': '88.f1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '22.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.d1.a1', '44.g1.a1', '44.j1.a1'], 'contains': ['176.a1.a1', '176.g1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [2405, -1, 2125, -1, 2627, -1, 2336, -1], 'generators': [3, 352], 'label': '704.421.88.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.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: 110666376
    {'ambient': '704.421', 'aut_centralizer_order': 640, 'aut_label': '88.g1', 'aut_quo_index': None, 'aut_stab_index': 11, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '22.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.e1.a1', '44.g1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.i1.a1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [3577, -1, 4074, -1, 4101, -1, 3976, -1], 'generators': [339, 352], 'label': '704.421.88.g1.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.g1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666377
    {'ambient': '704.421', 'aut_centralizer_order': 320, 'aut_label': '88.h1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '44.h1.a1', '44.j1.a1', '44.k1.a1'], 'contains': ['176.a1.a1', '176.k1.a1', '176.k1.b1'], 'core': '176.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4735, -1, 6934, -1, 4901, -1, 5116, -1], 'generators': [9, 4], 'label': '704.421.88.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '88.h1.a1', 'projective_image': '176.31', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 110666378
    {'ambient': '704.421', 'aut_centralizer_order': 80, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '44.d1.a1'], 'contains': ['176.d1.a1', '176.e1.a1', '176.g1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [220, -1, 164, -1, 429, -1, 633, -1], 'generators': [1, 2], 'label': '704.421.88.i1.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.i1.a1', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666379
    {'ambient': '704.421', 'aut_centralizer_order': 80, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': 88, 'aut_weyl_group': '4.2', 'aut_weyl_index': 7040, 'centralizer': '44.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a2', '44.d1.a1'], 'contains': ['176.d1.a1', '176.e1.a1', '176.g1.a1'], 'core': '352.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [220, -1, 543, -1, 429, -1, 961, -1], 'generators': [33, 2], 'label': '704.421.88.i1.a2', '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.i1.a2', 'projective_image': '352.106', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.i1.a2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 110666380
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '88.j1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '88.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '44.f1.a1'], 'contains': ['176.b1.a1', '176.j1.a1', '176.j1.b1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6381, -1, 3678, -1, 6136, -1, 5367, -1], 'generators': [1, 180], 'label': '704.421.88.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.j1.a1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 110666381
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '88.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.f1.a1', '44.l1.a1', '44.l1.b1'], 'contains': ['176.c1.a1', '176.j1.a1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7341, -1, 8184, -1, 8372, -1, 7754, -1], 'generators': [5, 176], 'label': '704.421.88.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.k1.a1', 'projective_image': '352.88', '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': '8.3'}
  • id: 110666382
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '88.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '44.f1.a1', '44.l1.c1', '44.l1.d1'], 'contains': ['176.c1.a1', '176.j1.b1'], 'core': '176.c1.a1', 'coset_action_label': None, 'count': 11, 'diagramx': [7341, -1, 7964, -1, 8372, -1, 8114, -1], 'generators': [1, 176], 'label': '704.421.88.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '11.a1.a1', 'old_label': '88.k1.b1', 'projective_image': '352.88', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.k1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 110666383
    {'ambient': '704.421', 'aut_centralizer_order': 160, 'aut_label': '88.l1', 'aut_quo_index': None, 'aut_stab_index': 22, 'aut_weyl_group': '8.3', 'aut_weyl_index': 3520, 'centralizer': '88.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '44.h1.a1'], 'contains': ['176.b1.a1', '176.k1.a1', '176.k1.b1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8028, -1, 7357, -1, 7819, -1, 6833, -1], 'generators': [9, 180], 'label': '704.421.88.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.f1.a1', 'old_label': '88.l1.a1', 'projective_image': '352.88', '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': '4.2'}
  • id: 110666384
    {'ambient': '704.421', '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.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '44.i1.a1'], 'contains': ['176.b1.a1'], 'core': '176.b1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7580, -1, 6617, -1, 7113, -1, 6082, -1], 'generators': [11], 'label': '704.421.88.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.g1.a1', 'old_label': '88.m1.a1', 'projective_image': '352.88', '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'}