Abstract group data - 1464100.g

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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': '100.16', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 110, 'aut_gen_orders': [10, 22, 10, 10, 110, 22, 11, 22, 2], 'aut_gens': [[31201094757120263, 44655853197271079, 5624305910397809, 41644812229207363, 12227473867416144, 32182222080390795, 32989578365751883, 41772741070013040], [18826793295746334, 20426465367511649, 8314981596984631, 18942475835275239, 12227473867416144, 37305298422652782, 7984172093960078, 41772741070013040], [33157528136959729, 28676420985981231, 124616019180772, 2106077912442337, 34744888568469179, 32182222080390795, 4625458364909813, 41772741070013040], [2672169947490703, 16277378919210680, 12574329409622899, 27932348861990631, 12227473867416144, 38630878767718571, 26195855330021653, 41772741070013040], [8682610515724174, 8667950992554683, 21710523121459803, 17520742470538796, 29906321420750771, 43716293969460027, 21424930203320262, 41772741070013040], [10480359857728083, 2319548800901367, 18613306606406110, 34849176470966430, 3792878790641414, 32182222080390795, 26756772030172513, 41772741070013040], [20946870302157526, 14434921366260948, 10712859522815017, 24645547243288525, 43149540700260219, 32182222080390795, 31082279281346190, 41772741070013040], [2630094401380780, 27619209810194297, 5624305910397809, 41644812229207363, 1639230385216444, 32182222080390795, 32989578365751883, 41772741070013040], [22797150672032604, 27365453872572208, 2394565104205371, 35025839732986521, 22047752667059698, 32182222080390795, 7254893084415374, 41772741070013040], [31201094757120263, 5888564340987686, 5624305910397809, 41644812229207363, 12227473867416144, 32182222080390795, 32989578365751883, 41772741070013040]], 'aut_group': '2928200.b', 'aut_hash': 5881793865228398922, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2928200, 'aut_permdeg': 3993, 'aut_perms': 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'aut_phi_ratio': 5.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1331, 2, 1], [5, 1331, 1, 16], [5, 14641, 1, 8], [10, 1331, 1, 16], [10, 1331, 2, 4], [10, 14641, 1, 8], [10, 14641, 2, 20], [11, 10, 1, 1], [11, 110, 1, 2], [11, 550, 1, 2], [11, 605, 2, 1], [11, 6050, 2, 1], [22, 10, 1, 1], [22, 110, 1, 2], [22, 550, 1, 2], [22, 605, 2, 1], [22, 6050, 2, 1], [22, 6655, 4, 1], [55, 6655, 2, 4], [55, 13310, 1, 12], [110, 6655, 2, 4], [110, 6655, 4, 4], [110, 13310, 1, 12]], 'aut_supersolvable': True, 'aut_tex': 'C_2\\times C_{11}^2.F_{11}^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 110, 'autcentquo_group': '1464100.v', 'autcentquo_hash': 8016281417641747528, 'autcentquo_nilpotent': False, 'autcentquo_order': 1464100, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{11}^2.F_{11}^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 1331, 2], [5, 1331, 16], [5, 14641, 8], [10, 1331, 24], [10, 14641, 48], [11, 10, 1], [11, 110, 2], [11, 550, 2], [11, 605, 2], [11, 6050, 2], [22, 10, 1], [22, 110, 2], [22, 550, 2], [22, 605, 2], [22, 6050, 2], [22, 6655, 4], [55, 6655, 8], [55, 13310, 12], [110, 6655, 24], [110, 13310, 12]], 'center_label': '2.1', 'center_order': 2, 'central_product': None, 'central_quotient': '732050.y', 'commutator_count': 1, 'commutator_label': '14641.7', 'complements_known': False, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '5.1', '5.1', '11.1', '11.1', '11.1', '11.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 7, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1331, 1, 2], [5, 1331, 4, 4], [5, 14641, 4, 2], [10, 1331, 4, 6], [10, 14641, 4, 12], [11, 10, 1, 1], [11, 110, 1, 2], [11, 550, 1, 2], [11, 605, 2, 1], [11, 6050, 2, 1], [22, 10, 1, 1], [22, 110, 1, 2], [22, 550, 1, 2], [22, 605, 2, 1], [22, 6050, 2, 1], [22, 6655, 2, 2], [55, 6655, 8, 1], [55, 13310, 4, 3], [110, 6655, 8, 3], [110, 13310, 4, 3]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': None, 'exponent': 110, 'exponents_of_order': [4, 2, 2], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[110, 0, 4], [110, 1, 1], [550, 1, 2]], 'familial': False, 'frattini_label': '121.2', 'frattini_quotient': '12100.p', 'hash': 3199553184657154256, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 110, 'inner_gen_orders': [5, 10, 11, 11, 5, 11, 11, 1], 'inner_gens': [[31201094757120263, 2340587469580441, 1461243494926961, 41536126708368490, 14780296678091114, 37305298422652782, 1189660219325420, 41772741070013040], [25793854357266788, 44655853197271079, 25665538205518324, 35690914750479165, 7922206373854976, 43716293969460027, 32013173919380776, 41772741070013040], [27481548287660888, 3457081285191370, 5624305910397809, 19142718709495606, 38202378352018918, 32182222080390795, 25030769367424038, 41772741070013040], [14409416595102883, 42922802030193756, 27749500337583775, 41644812229207363, 28829479640962160, 32182222080390795, 29568988543580031, 41772741070013040], [2672169947490703, 34267323930718696, 12574329409622899, 27932348861990631, 12227473867416144, 38630878767718571, 26195855330021653, 41772741070013040], [9078751090317856, 17030966308346243, 5624305910397809, 41644812229207363, 42469019976794476, 32182222080390795, 32989578365751883, 41772741070013040], [28854262326618614, 33644556952352081, 42464560297729635, 18386060381724337, 20877752094645895, 32182222080390795, 32989578365751883, 41772741070013040], [31201094757120263, 44655853197271079, 5624305910397809, 41644812229207363, 12227473867416144, 32182222080390795, 32989578365751883, 41772741070013040]], 'inner_hash': 4614338474332449892, 'inner_nilpotent': False, 'inner_order': 732050, 'inner_split': True, 'inner_tex': '\\He_{11}:(C_5\\times F_{11})', 'inner_used': [1, 2, 7], 'irrC_degree': 110, 'irrQ_degree': 110, 'irrQ_dim': 110, 'irrR_degree': 110, 'irrep_stats': [[1, 100], [5, 40], [10, 10], [50, 4], [110, 20], [550, 4]], 'label': '1464100.g', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'He11.(C10*F11)', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0, 1, 0, 2, 0, 4, 1, 1, 3, 0, 1, 0, 6, 0, 18, 6, 1, 3, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 126, 'number_characteristic_subgroups': 40, 'number_conjugacy_classes': 178, 'number_divisions': 54, 'number_normal_subgroups': 60, 'number_subgroup_autclasses': None, 'number_subgroup_classes': 532, 'number_subgroups': 712000, 'old_label': None, 'order': 1464100, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 2663], [5, 138424], [10, 734712], [11, 14640], [22, 41260], [55, 212960], [110, 319440]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [18042902764972717, 15805230770439185], 'outer_gens': [[9504703420489832, 5106815445257241, 42440695161284617, 14257805773921496, 12227473867416144, 38630878767718571, 28664510335915910, 41772741070013040], [6065191717882980, 13942432669463633, 409964587855095, 9535215433420156, 12227473867416144, 3269107308523003, 21339900624143783, 41772741070013040]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 123, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 5, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [4, 24], [10, 6], [40, 6], [100, 2], [110, 4], [440, 4], [550, 4]], 'representations': {'PC': {'code': '105610955191964646349950600497542051238766372263604513125945250375703503153219323974838576085987400433397180870252664040506795935901286117481434292503039999', 'gens': [1, 3, 6, 7, 8], 'pres': [8, -2, -5, -2, -5, -11, -11, -11, -11, 16, 12797042, 3202930, 66, 4275843, 12782731, 187, 16004, 10012, 9926405, 18321613, 1404501, 881789, 250309, 69792806, 16601214, 6098422, 3862350, 528566, 42592007, 12777615, 1703703, 1703711]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [31201094757120263, 44655853197271079, 5624305910397809, 41644812229207363, 12227473867416144, 32182222080390795, 32989578365751883, 41772741070013040]}, 'Perm': {'d': 123, 'gens': [102123519087400797361023271833237081713446297955634199356154074109017196115751244107035961462784254897369458888973092312039391568597139923031338091981936242923183115533963449215061880067244502198144491071, 207356143294928418146094860540344738422493041786539693092328633735479103223026408143017887781723294052910682518597056781634863655739964151623547430228142425297056095593891898721364846612400023745233388088, 307671994103912087113862336925645795439135149726962747023413853879924207356173787577156113740145486473653586283793391408658501526588521619685280066138211737251598687193714812043756388864556612010251405169, 1, 407292130520036658413361495758219716748338976493996146721832059144970847879893777740416080843196546590228955824348081770823395931885378808893305234702254712367856202353467856291242784002146986219188103526, 495526713270697704216076567593703206722484033128687359839599848432070131074964712593127805479135617186875311111263686749285855609395084446283711403777672351185050296110625555017001543302260545477252099041, 605615935244138660974195195228879774257313603668308777384519234323793719404772123601256422865483760898352031761478012421532150202166204050608319435935008206545623783149162452667736241939734137089245148487, 705182552842116792262913786396577597768888547438156549486740341554772547999164639188560863155481608000353386622880532739650569633572489722390423387869829946807822083337436470368496832394297472204797245249]}}, 'schur_multiplier': [10], 'semidirect_product': False, 'simple': False, 'smith_abelian_invariants': [10, 10], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 1464100, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '\\He_{11}.(C_{10}\\times F_{11})', 'transitive_degree': 242, '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: 108792476
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 7, 'group_order': 1464100, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 4177274107001304, 'size': 1}
  • id: 108792566
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 7, 'group_order': 1464100, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 41772741070013040, 'size': 1}
  • id: 108792577
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 7, 'group_order': 1464100, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 19116271755278540, 'size': 1331}
  • id: 108792588
    {'aut_label': '2B', 'centralizer': None, 'counter': 4, 'group_counter': 7, 'group_order': 1464100, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 25562655458973462, 'size': 1331}
  • id: 108792599
    {'aut_label': '5A1', 'centralizer': None, 'counter': 5, 'group_counter': 7, 'group_order': 1464100, 'label': '5A1', 'order': 5, 'powers': [7, 1, 5], 'representative': 22972712528925136, 'size': 1331}
  • id: 108792610
    {'aut_label': '5A-1', 'centralizer': None, 'counter': 6, 'group_counter': 7, 'group_order': 1464100, 'label': '5A-1', 'order': 5, 'powers': [8, 1, 6], 'representative': 42312929422048268, 'size': 1331}
  • id: 108792621
    {'aut_label': '5A2', 'centralizer': None, 'counter': 7, 'group_counter': 7, 'group_order': 1464100, 'label': '5A2', 'order': 5, 'powers': [6, 1, 7], 'representative': 20579099717230656, 'size': 1331}
  • id: 108792632
    {'aut_label': '5A-2', 'centralizer': None, 'counter': 8, 'group_counter': 7, 'group_order': 1464100, 'label': '5A-2', 'order': 5, 'powers': [5, 1, 8], 'representative': 37213868117059462, 'size': 1331}
  • id: 108792643
    {'aut_label': '5B1', 'centralizer': None, 'counter': 9, 'group_counter': 7, 'group_order': 1464100, 'label': '5B1', 'order': 5, 'powers': [11, 1, 9], 'representative': 9063563972762584, 'size': 1331}
  • id: 108792477
    {'aut_label': '5B-1', 'centralizer': None, 'counter': 10, 'group_counter': 7, 'group_order': 1464100, 'label': '5B-1', 'order': 5, 'powers': [12, 1, 10], 'representative': 9389662957882830, 'size': 1331}
  • id: 108792488
    {'aut_label': '5B2', 'centralizer': None, 'counter': 11, 'group_counter': 7, 'group_order': 1464100, 'label': '5B2', 'order': 5, 'powers': [10, 1, 11], 'representative': 34127208612998836, 'size': 1331}
  • id: 108792499
    {'aut_label': '5B-2', 'centralizer': None, 'counter': 12, 'group_counter': 7, 'group_order': 1464100, 'label': '5B-2', 'order': 5, 'powers': [9, 1, 12], 'representative': 40537338696525384, 'size': 1331}
  • id: 108792510
    {'aut_label': '5C1', 'centralizer': None, 'counter': 13, 'group_counter': 7, 'group_order': 1464100, 'label': '5C1', 'order': 5, 'powers': [15, 1, 13], 'representative': 1840125610818239, 'size': 1331}
  • id: 108792521
    {'aut_label': '5C-1', 'centralizer': None, 'counter': 14, 'group_counter': 7, 'group_order': 1464100, 'label': '5C-1', 'order': 5, 'powers': [16, 1, 14], 'representative': 12366234555256692, 'size': 1331}
  • id: 108792532
    {'aut_label': '5C2', 'centralizer': None, 'counter': 15, 'group_counter': 7, 'group_order': 1464100, 'label': '5C2', 'order': 5, 'powers': [14, 1, 15], 'representative': 33252319778592601, 'size': 1331}
  • id: 108792543
    {'aut_label': '5C-2', 'centralizer': None, 'counter': 16, 'group_counter': 7, 'group_order': 1464100, 'label': '5C-2', 'order': 5, 'powers': [13, 1, 16], 'representative': 7643334965107355, 'size': 1331}
  • id: 108792554
    {'aut_label': '5D1', 'centralizer': None, 'counter': 17, 'group_counter': 7, 'group_order': 1464100, 'label': '5D1', 'order': 5, 'powers': [19, 1, 17], 'representative': 30067565173482592, 'size': 1331}
  • id: 108792564
    {'aut_label': '5D-1', 'centralizer': None, 'counter': 18, 'group_counter': 7, 'group_order': 1464100, 'label': '5D-1', 'order': 5, 'powers': [20, 1, 18], 'representative': 26786187296208315, 'size': 1331}
  • id: 108792565
    {'aut_label': '5D2', 'centralizer': None, 'counter': 19, 'group_counter': 7, 'group_order': 1464100, 'label': '5D2', 'order': 5, 'powers': [18, 1, 19], 'representative': 13530614380891161, 'size': 1331}
  • id: 108792567
    {'aut_label': '5D-2', 'centralizer': None, 'counter': 20, 'group_counter': 7, 'group_order': 1464100, 'label': '5D-2', 'order': 5, 'powers': [17, 1, 20], 'representative': 22385324596833991, 'size': 1331}
  • id: 108792568
    {'aut_label': '5E1', 'centralizer': None, 'counter': 21, 'group_counter': 7, 'group_order': 1464100, 'label': '5E1', 'order': 5, 'powers': [23, 1, 21], 'representative': 5570741247752758, 'size': 14641}
  • id: 108792569
    {'aut_label': '5E-1', 'centralizer': None, 'counter': 22, 'group_counter': 7, 'group_order': 1464100, 'label': '5E-1', 'order': 5, 'powers': [24, 1, 22], 'representative': 4058411227522777, 'size': 14641}
  • id: 108792570
    {'aut_label': '5E2', 'centralizer': None, 'counter': 23, 'group_counter': 7, 'group_order': 1464100, 'label': '5E2', 'order': 5, 'powers': [22, 1, 23], 'representative': 40210328587908869, 'size': 14641}
  • id: 108792571
    {'aut_label': '5E-2', 'centralizer': None, 'counter': 24, 'group_counter': 7, 'group_order': 1464100, 'label': '5E-2', 'order': 5, 'powers': [21, 1, 24], 'representative': 13788157947280839, 'size': 14641}
  • id: 108792572
    {'aut_label': '5F1', 'centralizer': None, 'counter': 25, 'group_counter': 7, 'group_order': 1464100, 'label': '5F1', 'order': 5, 'powers': [27, 1, 25], 'representative': 27640263710651370, 'size': 14641}
  • id: 108792573
    {'aut_label': '5F-1', 'centralizer': None, 'counter': 26, 'group_counter': 7, 'group_order': 1464100, 'label': '5F-1', 'order': 5, 'powers': [28, 1, 26], 'representative': 23169139509969658, 'size': 14641}
  • id: 108792574
    {'aut_label': '5F2', 'centralizer': None, 'counter': 27, 'group_counter': 7, 'group_order': 1464100, 'label': '5F2', 'order': 5, 'powers': [26, 1, 27], 'representative': 26240099501100274, 'size': 14641}
  • id: 108792575
    {'aut_label': '5F-2', 'centralizer': None, 'counter': 28, 'group_counter': 7, 'group_order': 1464100, 'label': '5F-2', 'order': 5, 'powers': [25, 1, 28], 'representative': 19473474663715720, 'size': 14641}
  • id: 108792576
    {'aut_label': '10A1', 'centralizer': None, 'counter': 29, 'group_counter': 7, 'group_order': 1464100, 'label': '10A1', 'order': 10, 'powers': [9, 4, 29], 'representative': 6121692258575176, 'size': 1331}
  • id: 108792578
    {'aut_label': '10A-1', 'centralizer': None, 'counter': 30, 'group_counter': 7, 'group_order': 1464100, 'label': '10A-1', 'order': 10, 'powers': [10, 4, 30], 'representative': 39248282902413120, 'size': 1331}
  • id: 108792579
    {'aut_label': '10A3', 'centralizer': None, 'counter': 31, 'group_counter': 7, 'group_order': 1464100, 'label': '10A3', 'order': 10, 'powers': [12, 4, 31], 'representative': 2941871733513648, 'size': 1331}
  • id: 108792580
    {'aut_label': '10A-3', 'centralizer': None, 'counter': 32, 'group_counter': 7, 'group_order': 1464100, 'label': '10A-3', 'order': 10, 'powers': [11, 4, 32], 'representative': 26098759384116474, 'size': 1331}
  • id: 108792581
    {'aut_label': '10B1', 'centralizer': None, 'counter': 33, 'group_counter': 7, 'group_order': 1464100, 'label': '10B1', 'order': 10, 'powers': [12, 2, 33], 'representative': 2770961897342498, 'size': 1331}
  • id: 108792582
    {'aut_label': '10B-1', 'centralizer': None, 'counter': 34, 'group_counter': 7, 'group_order': 1464100, 'label': '10B-1', 'order': 10, 'powers': [11, 2, 34], 'representative': 45436722207136975, 'size': 1331}
  • id: 108792583
    {'aut_label': '10B3', 'centralizer': None, 'counter': 35, 'group_counter': 7, 'group_order': 1464100, 'label': '10B3', 'order': 10, 'powers': [10, 2, 35], 'representative': 20373077566900723, 'size': 1331}
  • id: 108792584
    {'aut_label': '10B-3', 'centralizer': None, 'counter': 36, 'group_counter': 7, 'group_order': 1464100, 'label': '10B-3', 'order': 10, 'powers': [9, 2, 36], 'representative': 40828643590833598, 'size': 1331}
  • id: 108792585
    {'aut_label': '10C1', 'centralizer': None, 'counter': 37, 'group_counter': 7, 'group_order': 1464100, 'label': '10C1', 'order': 10, 'powers': [15, 2, 37], 'representative': 8220014749324193, 'size': 1331}
  • id: 108792586
    {'aut_label': '10C-1', 'centralizer': None, 'counter': 38, 'group_counter': 7, 'group_order': 1464100, 'label': '10C-1', 'order': 10, 'powers': [16, 2, 38], 'representative': 26264929740103332, 'size': 1331}
  • id: 108792587
    {'aut_label': '10C3', 'centralizer': None, 'counter': 39, 'group_counter': 7, 'group_order': 1464100, 'label': '10C3', 'order': 10, 'powers': [13, 2, 39], 'representative': 19073694018272914, 'size': 1331}
  • id: 108792589
    {'aut_label': '10C-3', 'centralizer': None, 'counter': 40, 'group_counter': 7, 'group_order': 1464100, 'label': '10C-3', 'order': 10, 'powers': [14, 2, 40], 'representative': 5378559205096823, 'size': 1331}
  • id: 108792590
    {'aut_label': '10D1', 'centralizer': None, 'counter': 41, 'group_counter': 7, 'group_order': 1464100, 'label': '10D1', 'order': 10, 'powers': [8, 2, 41], 'representative': 30188692574445524, 'size': 1331}
  • id: 108792591
    {'aut_label': '10D-1', 'centralizer': None, 'counter': 42, 'group_counter': 7, 'group_order': 1464100, 'label': '10D-1', 'order': 10, 'powers': [7, 2, 42], 'representative': 39686187500883788, 'size': 1331}
  • id: 108792592
    {'aut_label': '10D3', 'centralizer': None, 'counter': 43, 'group_counter': 7, 'group_order': 1464100, 'label': '10D3', 'order': 10, 'powers': [6, 2, 43], 'representative': 12659690827806811, 'size': 1331}
  • id: 108792593
    {'aut_label': '10D-3', 'centralizer': None, 'counter': 44, 'group_counter': 7, 'group_order': 1464100, 'label': '10D-3', 'order': 10, 'powers': [5, 2, 44], 'representative': 34294417555341628, 'size': 1331}
  • id: 108792594
    {'aut_label': '10E1', 'centralizer': None, 'counter': 45, 'group_counter': 7, 'group_order': 1464100, 'label': '10E1', 'order': 10, 'powers': [17, 2, 45], 'representative': 23036275992881316, 'size': 1331}
  • id: 108792595
    {'aut_label': '10E-1', 'centralizer': None, 'counter': 46, 'group_counter': 7, 'group_order': 1464100, 'label': '10E-1', 'order': 10, 'powers': [18, 2, 46], 'representative': 2978206246054626, 'size': 1331}
  • id: 108792596
    {'aut_label': '10E3', 'centralizer': None, 'counter': 47, 'group_counter': 7, 'group_order': 1464100, 'label': '10E3', 'order': 10, 'powers': [20, 2, 47], 'representative': 1256707363394194, 'size': 1331}
  • id: 108792597
    {'aut_label': '10E-3', 'centralizer': None, 'counter': 48, 'group_counter': 7, 'group_order': 1464100, 'label': '10E-3', 'order': 10, 'powers': [19, 2, 48], 'representative': 32011237627040925, 'size': 1331}
  • id: 108792598
    {'aut_label': '10A-1', 'centralizer': None, 'counter': 49, 'group_counter': 7, 'group_order': 1464100, 'label': '10F1', 'order': 10, 'powers': [10, 3, 49], 'representative': 33593377826902649, 'size': 1331}
  • id: 108792600
    {'aut_label': '10A1', 'centralizer': None, 'counter': 50, 'group_counter': 7, 'group_order': 1464100, 'label': '10F-1', 'order': 10, 'powers': [9, 3, 50], 'representative': 4488845870799159, 'size': 1331}
  • id: 108792601
    {'aut_label': '10A-3', 'centralizer': None, 'counter': 51, 'group_counter': 7, 'group_order': 1464100, 'label': '10F3', 'order': 10, 'powers': [11, 3, 51], 'representative': 33697243727310094, 'size': 1331}
  • id: 108792602
    {'aut_label': '10A3', 'centralizer': None, 'counter': 52, 'group_counter': 7, 'group_order': 1464100, 'label': '10F-3', 'order': 10, 'powers': [12, 3, 52], 'representative': 21094102335821531, 'size': 1331}
  • id: 108792603
    {'aut_label': '10G1', 'centralizer': None, 'counter': 53, 'group_counter': 7, 'group_order': 1464100, 'label': '10G1', 'order': 10, 'powers': [5, 3, 53], 'representative': 16924528932388313, 'size': 14641}
  • id: 108792604
    {'aut_label': '10G-1', 'centralizer': None, 'counter': 54, 'group_counter': 7, 'group_order': 1464100, 'label': '10G-1', 'order': 10, 'powers': [6, 3, 54], 'representative': 27488167988845384, 'size': 14641}
  • id: 108792605
    {'aut_label': '10G3', 'centralizer': None, 'counter': 55, 'group_counter': 7, 'group_order': 1464100, 'label': '10G3', 'order': 10, 'powers': [8, 3, 55], 'representative': 37727239868773438, 'size': 14641}
  • id: 108792606
    {'aut_label': '10G-3', 'centralizer': None, 'counter': 56, 'group_counter': 7, 'group_order': 1464100, 'label': '10G-3', 'order': 10, 'powers': [7, 3, 56], 'representative': 26060456010729120, 'size': 14641}
  • id: 108792607
    {'aut_label': '10H1', 'centralizer': None, 'counter': 57, 'group_counter': 7, 'group_order': 1464100, 'label': '10H1', 'order': 10, 'powers': [21, 4, 57], 'representative': 23261754627119472, 'size': 14641}
  • id: 108792608
    {'aut_label': '10H-1', 'centralizer': None, 'counter': 58, 'group_counter': 7, 'group_order': 1464100, 'label': '10H-1', 'order': 10, 'powers': [22, 4, 58], 'representative': 20734624163949684, 'size': 14641}
  • id: 108792609
    {'aut_label': '10H3', 'centralizer': None, 'counter': 59, 'group_counter': 7, 'group_order': 1464100, 'label': '10H3', 'order': 10, 'powers': [24, 4, 59], 'representative': 43390139503878873, 'size': 14641}
  • id: 108792611
    {'aut_label': '10H-3', 'centralizer': None, 'counter': 60, 'group_counter': 7, 'group_order': 1464100, 'label': '10H-3', 'order': 10, 'powers': [23, 4, 60], 'representative': 21456085018407405, 'size': 14641}
  • id: 108792612
    {'aut_label': '10G-3', 'centralizer': None, 'counter': 61, 'group_counter': 7, 'group_order': 1464100, 'label': '10I1', 'order': 10, 'powers': [7, 4, 61], 'representative': 23838197215003958, 'size': 14641}
  • id: 108792613
    {'aut_label': '10G3', 'centralizer': None, 'counter': 62, 'group_counter': 7, 'group_order': 1464100, 'label': '10I-1', 'order': 10, 'powers': [8, 4, 62], 'representative': 21904458656743812, 'size': 14641}
  • id: 108792614
    {'aut_label': '10G1', 'centralizer': None, 'counter': 63, 'group_counter': 7, 'group_order': 1464100, 'label': '10I3', 'order': 10, 'powers': [5, 4, 63], 'representative': 20902933550135456, 'size': 14641}
  • id: 108792615
    {'aut_label': '10G-1', 'centralizer': None, 'counter': 64, 'group_counter': 7, 'group_order': 1464100, 'label': '10I-3', 'order': 10, 'powers': [6, 4, 64], 'representative': 22527186368620313, 'size': 14641}
  • id: 108792616
    {'aut_label': '10J1', 'centralizer': None, 'counter': 65, 'group_counter': 7, 'group_order': 1464100, 'label': '10J1', 'order': 10, 'powers': [13, 3, 65], 'representative': 22668679838548312, 'size': 14641}
  • id: 108792617
    {'aut_label': '10J-1', 'centralizer': None, 'counter': 66, 'group_counter': 7, 'group_order': 1464100, 'label': '10J-1', 'order': 10, 'powers': [14, 3, 66], 'representative': 18048911090874782, 'size': 14641}
  • id: 108792618
    {'aut_label': '10J3', 'centralizer': None, 'counter': 67, 'group_counter': 7, 'group_order': 1464100, 'label': '10J3', 'order': 10, 'powers': [16, 3, 67], 'representative': 11893535492851319, 'size': 14641}
  • id: 108792619
    {'aut_label': '10J-3', 'centralizer': None, 'counter': 68, 'group_counter': 7, 'group_order': 1464100, 'label': '10J-3', 'order': 10, 'powers': [15, 3, 68], 'representative': 18636483197205855, 'size': 14641}
  • id: 108792620
    {'aut_label': '10H-1', 'centralizer': None, 'counter': 69, 'group_counter': 7, 'group_order': 1464100, 'label': '10K1', 'order': 10, 'powers': [22, 3, 69], 'representative': 25678941778593028, 'size': 14641}
  • id: 108792622
    {'aut_label': '10H1', 'centralizer': None, 'counter': 70, 'group_counter': 7, 'group_order': 1464100, 'label': '10K-1', 'order': 10, 'powers': [21, 3, 70], 'representative': 4561923142052906, 'size': 14641}
  • id: 108792623
    {'aut_label': '10H-3', 'centralizer': None, 'counter': 71, 'group_counter': 7, 'group_order': 1464100, 'label': '10K3', 'order': 10, 'powers': [23, 3, 71], 'representative': 44711376257927526, 'size': 14641}
  • id: 108792624
    {'aut_label': '10H3', 'centralizer': None, 'counter': 72, 'group_counter': 7, 'group_order': 1464100, 'label': '10K-3', 'order': 10, 'powers': [24, 3, 72], 'representative': 27253423317595996, 'size': 14641}
  • id: 108792625
    {'aut_label': '10J-3', 'centralizer': None, 'counter': 73, 'group_counter': 7, 'group_order': 1464100, 'label': '10L1', 'order': 10, 'powers': [15, 4, 73], 'representative': 33920037009563357, 'size': 14641}
  • id: 108792626
    {'aut_label': '10J3', 'centralizer': None, 'counter': 74, 'group_counter': 7, 'group_order': 1464100, 'label': '10L-1', 'order': 10, 'powers': [16, 4, 74], 'representative': 43200819996843045, 'size': 14641}
  • id: 108792627
    {'aut_label': '10J1', 'centralizer': None, 'counter': 75, 'group_counter': 7, 'group_order': 1464100, 'label': '10L3', 'order': 10, 'powers': [13, 4, 75], 'representative': 11657770836675681, 'size': 14641}
  • id: 108792628
    {'aut_label': '10J-1', 'centralizer': None, 'counter': 76, 'group_counter': 7, 'group_order': 1464100, 'label': '10L-3', 'order': 10, 'powers': [14, 4, 76], 'representative': 31942049849293783, 'size': 14641}
  • id: 108792629
    {'aut_label': '10M1', 'centralizer': None, 'counter': 77, 'group_counter': 7, 'group_order': 1464100, 'label': '10M1', 'order': 10, 'powers': [25, 2, 77], 'representative': 31036705474069725, 'size': 14641}
  • id: 108792630
    {'aut_label': '10M-1', 'centralizer': None, 'counter': 78, 'group_counter': 7, 'group_order': 1464100, 'label': '10M-1', 'order': 10, 'powers': [26, 2, 78], 'representative': 24270080636685171, 'size': 14641}
  • id: 108792631
    {'aut_label': '10M3', 'centralizer': None, 'counter': 79, 'group_counter': 7, 'group_order': 1464100, 'label': '10M3', 'order': 10, 'powers': [28, 2, 79], 'representative': 26995813506376356, 'size': 14641}
  • id: 108792633
    {'aut_label': '10M-3', 'centralizer': None, 'counter': 80, 'group_counter': 7, 'group_order': 1464100, 'label': '10M-3', 'order': 10, 'powers': [27, 2, 80], 'representative': 22901298352953594, 'size': 14641}
  • id: 108792634
    {'aut_label': '10N1', 'centralizer': None, 'counter': 81, 'group_counter': 7, 'group_order': 1464100, 'label': '10N1', 'order': 10, 'powers': [25, 3, 81], 'representative': 14992741166031030, 'size': 14641}
  • id: 108792635
    {'aut_label': '10N-1', 'centralizer': None, 'counter': 82, 'group_counter': 7, 'group_order': 1464100, 'label': '10N-1', 'order': 10, 'powers': [26, 3, 82], 'representative': 14478167381559449, 'size': 14641}
  • id: 108792636
    {'aut_label': '10N3', 'centralizer': None, 'counter': 83, 'group_counter': 7, 'group_order': 1464100, 'label': '10N3', 'order': 10, 'powers': [28, 3, 83], 'representative': 20128768020664385, 'size': 14641}
  • id: 108792637
    {'aut_label': '10N-3', 'centralizer': None, 'counter': 84, 'group_counter': 7, 'group_order': 1464100, 'label': '10N-3', 'order': 10, 'powers': [27, 3, 84], 'representative': 10704644127902269, 'size': 14641}
  • id: 108792638
    {'aut_label': '10O1', 'centralizer': None, 'counter': 85, 'group_counter': 7, 'group_order': 1464100, 'label': '10O1', 'order': 10, 'powers': [17, 4, 85], 'representative': 37339302990901455, 'size': 14641}
  • id: 108792639
    {'aut_label': '10O-1', 'centralizer': None, 'counter': 86, 'group_counter': 7, 'group_order': 1464100, 'label': '10O-1', 'order': 10, 'powers': [18, 4, 86], 'representative': 32439891767113169, 'size': 14641}
  • id: 108792640
    {'aut_label': '10O3', 'centralizer': None, 'counter': 87, 'group_counter': 7, 'group_order': 1464100, 'label': '10O3', 'order': 10, 'powers': [20, 4, 87], 'representative': 5400702721329078, 'size': 14641}
  • id: 108792641
    {'aut_label': '10O-3', 'centralizer': None, 'counter': 88, 'group_counter': 7, 'group_order': 1464100, 'label': '10O-3', 'order': 10, 'powers': [19, 4, 88], 'representative': 43493361353768189, 'size': 14641}
  • id: 108792642
    {'aut_label': '10O-3', 'centralizer': None, 'counter': 89, 'group_counter': 7, 'group_order': 1464100, 'label': '10P1', 'order': 10, 'powers': [19, 3, 89], 'representative': 38953349891471715, 'size': 14641}
  • id: 108792644
    {'aut_label': '10O3', 'centralizer': None, 'counter': 90, 'group_counter': 7, 'group_order': 1464100, 'label': '10P-1', 'order': 10, 'powers': [20, 3, 90], 'representative': 16035624111767377, 'size': 14641}
  • id: 108792645
    {'aut_label': '10O1', 'centralizer': None, 'counter': 91, 'group_counter': 7, 'group_order': 1464100, 'label': '10P3', 'order': 10, 'powers': [17, 3, 91], 'representative': 6909130553983087, 'size': 14641}
  • id: 108792646
    {'aut_label': '10O-1', 'centralizer': None, 'counter': 92, 'group_counter': 7, 'group_order': 1464100, 'label': '10P-3', 'order': 10, 'powers': [18, 3, 92], 'representative': 33877064949992976, 'size': 14641}
  • id: 108792647
    {'aut_label': '10Q1', 'centralizer': None, 'counter': 93, 'group_counter': 7, 'group_order': 1464100, 'label': '10Q1', 'order': 10, 'powers': [22, 2, 93], 'representative': 5075171051480959, 'size': 14641}
  • id: 108792648
    {'aut_label': '10Q-1', 'centralizer': None, 'counter': 94, 'group_counter': 7, 'group_order': 1464100, 'label': '10Q-1', 'order': 10, 'powers': [21, 2, 94], 'representative': 3592784315733695, 'size': 14641}
  • id: 108792649
    {'aut_label': '10Q3', 'centralizer': None, 'counter': 95, 'group_counter': 7, 'group_order': 1464100, 'label': '10Q3', 'order': 10, 'powers': [23, 2, 95], 'representative': 45393524503342540, 'size': 14641}
  • id: 108792650
    {'aut_label': '10Q-3', 'centralizer': None, 'counter': 96, 'group_counter': 7, 'group_order': 1464100, 'label': '10Q-3', 'order': 10, 'powers': [24, 2, 96], 'representative': 42488763076378274, 'size': 14641}
  • id: 108792651
    {'aut_label': '10N3', 'centralizer': None, 'counter': 97, 'group_counter': 7, 'group_order': 1464100, 'label': '10R1', 'order': 10, 'powers': [28, 4, 97], 'representative': 735776312013018, 'size': 14641}
  • id: 108792652
    {'aut_label': '10N-3', 'centralizer': None, 'counter': 98, 'group_counter': 7, 'group_order': 1464100, 'label': '10R-1', 'order': 10, 'powers': [27, 4, 98], 'representative': 33283374077168996, 'size': 14641}
  • id: 108792653
    {'aut_label': '10N-1', 'centralizer': None, 'counter': 99, 'group_counter': 7, 'group_order': 1464100, 'label': '10R3', 'order': 10, 'powers': [26, 4, 99], 'representative': 8241877632495932, 'size': 14641}
  • id: 108792478
    {'aut_label': '10N1', 'centralizer': None, 'counter': 100, 'group_counter': 7, 'group_order': 1464100, 'label': '10R-3', 'order': 10, 'powers': [25, 4, 100], 'representative': 13208324037065368, 'size': 14641}
  • id: 108792479
    {'aut_label': '11A', 'centralizer': None, 'counter': 101, 'group_counter': 7, 'group_order': 1464100, 'label': '11A', 'order': 11, 'powers': [101, 101, 1], 'representative': 20268372296213413, 'size': 10}
  • id: 108792480
    {'aut_label': '11B', 'centralizer': None, 'counter': 102, 'group_counter': 7, 'group_order': 1464100, 'label': '11B', 'order': 11, 'powers': [102, 102, 1], 'representative': 15939589504305796, 'size': 110}
  • id: 108792481
    {'aut_label': '11C', 'centralizer': None, 'counter': 103, 'group_counter': 7, 'group_order': 1464100, 'label': '11C', 'order': 11, 'powers': [103, 103, 1], 'representative': 4178436575223692, 'size': 110}
  • id: 108792482
    {'aut_label': '11D', 'centralizer': None, 'counter': 104, 'group_counter': 7, 'group_order': 1464100, 'label': '11D', 'order': 11, 'powers': [104, 104, 1], 'representative': 12877051665108564, 'size': 550}
  • id: 108792483
    {'aut_label': '11E', 'centralizer': None, 'counter': 105, 'group_counter': 7, 'group_order': 1464100, 'label': '11E', 'order': 11, 'powers': [105, 105, 1], 'representative': 4968752267976564, 'size': 550}
  • id: 108792484
    {'aut_label': '11F1', 'centralizer': None, 'counter': 106, 'group_counter': 7, 'group_order': 1464100, 'label': '11F1', 'order': 11, 'powers': [107, 106, 1], 'representative': 29034422602675299, 'size': 605}
  • id: 108792485
    {'aut_label': '11F1', 'centralizer': None, 'counter': 107, 'group_counter': 7, 'group_order': 1464100, 'label': '11F-1', 'order': 11, 'powers': [106, 107, 1], 'representative': 29830305749112754, 'size': 605}
  • id: 108792486
    {'aut_label': '11G1', 'centralizer': None, 'counter': 108, 'group_counter': 7, 'group_order': 1464100, 'label': '11G1', 'order': 11, 'powers': [109, 108, 1], 'representative': 18026898992981007, 'size': 6050}
  • id: 108792487
    {'aut_label': '11G1', 'centralizer': None, 'counter': 109, 'group_counter': 7, 'group_order': 1464100, 'label': '11G-1', 'order': 11, 'powers': [108, 109, 1], 'representative': 36522231997779455, 'size': 6050}
  • id: 108792489
    {'aut_label': '22A', 'centralizer': None, 'counter': 110, 'group_counter': 7, 'group_order': 1464100, 'label': '22A', 'order': 22, 'powers': [101, 110, 2], 'representative': 13239404427276594, 'size': 10}
  • id: 108792490
    {'aut_label': '22B', 'centralizer': None, 'counter': 111, 'group_counter': 7, 'group_order': 1464100, 'label': '22B', 'order': 22, 'powers': [102, 111, 2], 'representative': 40467427494585982, 'size': 110}
  • id: 108792491
    {'aut_label': '22C', 'centralizer': None, 'counter': 112, 'group_counter': 7, 'group_order': 1464100, 'label': '22C', 'order': 22, 'powers': [103, 112, 2], 'representative': 41775311233005569, 'size': 110}
  • id: 108792492
    {'aut_label': '22D', 'centralizer': None, 'counter': 113, 'group_counter': 7, 'group_order': 1464100, 'label': '22D', 'order': 22, 'powers': [104, 113, 2], 'representative': 37802604695964768, 'size': 550}
  • id: 108792493
    {'aut_label': '22E', 'centralizer': None, 'counter': 114, 'group_counter': 7, 'group_order': 1464100, 'label': '22E', 'order': 22, 'powers': [105, 114, 2], 'representative': 45591937256468712, 'size': 550}
  • id: 108792494
    {'aut_label': '22F1', 'centralizer': None, 'counter': 115, 'group_counter': 7, 'group_order': 1464100, 'label': '22F1', 'order': 22, 'powers': [107, 115, 2], 'representative': 22735109730520873, 'size': 605}
  • id: 108792495
    {'aut_label': '22F1', 'centralizer': None, 'counter': 116, 'group_counter': 7, 'group_order': 1464100, 'label': '22F-1', 'order': 22, 'powers': [106, 116, 2], 'representative': 19455044905405895, 'size': 605}
  • id: 108792496
    {'aut_label': '22G1', 'centralizer': None, 'counter': 117, 'group_counter': 7, 'group_order': 1464100, 'label': '22G1', 'order': 22, 'powers': [108, 117, 2], 'representative': 2275642543078015, 'size': 6050}
  • id: 108792497
    {'aut_label': '22G1', 'centralizer': None, 'counter': 118, 'group_counter': 7, 'group_order': 1464100, 'label': '22G-1', 'order': 22, 'powers': [109, 118, 2], 'representative': 6631685703536861, 'size': 6050}
  • id: 108792498
    {'aut_label': '22H1', 'centralizer': None, 'counter': 119, 'group_counter': 7, 'group_order': 1464100, 'label': '22H1', 'order': 22, 'powers': [106, 119, 4], 'representative': 15979119586406451, 'size': 6655}
  • id: 108792500
    {'aut_label': '22H1', 'centralizer': None, 'counter': 120, 'group_counter': 7, 'group_order': 1464100, 'label': '22H-1', 'order': 22, 'powers': [107, 120, 4], 'representative': 41631049745666565, 'size': 6655}
  • id: 108792501
    {'aut_label': '22H1', 'centralizer': None, 'counter': 121, 'group_counter': 7, 'group_order': 1464100, 'label': '22I1', 'order': 22, 'powers': [106, 121, 3], 'representative': 9117087218448475, 'size': 6655}
  • id: 108792502
    {'aut_label': '22H1', 'centralizer': None, 'counter': 122, 'group_counter': 7, 'group_order': 1464100, 'label': '22I-1', 'order': 22, 'powers': [107, 122, 3], 'representative': 41360546069927005, 'size': 6655}
  • id: 108792503
    {'aut_label': '55A1', 'centralizer': None, 'counter': 123, 'group_counter': 7, 'group_order': 1464100, 'label': '55A1', 'order': 55, 'powers': [125, 106, 9], 'representative': 3295425650967380, 'size': 6655}
  • id: 108792504
    {'aut_label': '55A-1', 'centralizer': None, 'counter': 124, 'group_counter': 7, 'group_order': 1464100, 'label': '55A-1', 'order': 55, 'powers': [126, 107, 10], 'representative': 34660617555576430, 'size': 6655}
  • id: 108792505
    {'aut_label': '55A2', 'centralizer': None, 'counter': 125, 'group_counter': 7, 'group_order': 1464100, 'label': '55A2', 'order': 55, 'powers': [127, 107, 11], 'representative': 23389929752158385, 'size': 6655}
  • id: 108792506
    {'aut_label': '55A-2', 'centralizer': None, 'counter': 126, 'group_counter': 7, 'group_order': 1464100, 'label': '55A-2', 'order': 55, 'powers': [128, 106, 12], 'representative': 14887072119181491, 'size': 6655}
  • id: 108792507
    {'aut_label': '55A-1', 'centralizer': None, 'counter': 127, 'group_counter': 7, 'group_order': 1464100, 'label': '55A4', 'order': 55, 'powers': [129, 106, 10], 'representative': 3623411399232297, 'size': 6655}
  • id: 108792508
    {'aut_label': '55A1', 'centralizer': None, 'counter': 128, 'group_counter': 7, 'group_order': 1464100, 'label': '55A-4', 'order': 55, 'powers': [130, 107, 9], 'representative': 44275577117841179, 'size': 6655}
  • id: 108792509
    {'aut_label': '55A-2', 'centralizer': None, 'counter': 129, 'group_counter': 7, 'group_order': 1464100, 'label': '55A8', 'order': 55, 'powers': [123, 107, 12], 'representative': 351507263008861, 'size': 6655}
  • id: 108792511
    {'aut_label': '55A2', 'centralizer': None, 'counter': 130, 'group_counter': 7, 'group_order': 1464100, 'label': '55A-8', 'order': 55, 'powers': [124, 106, 11], 'representative': 39097574667264212, 'size': 6655}
  • id: 108792512
    {'aut_label': '55B1', 'centralizer': None, 'counter': 131, 'group_counter': 7, 'group_order': 1464100, 'label': '55B1', 'order': 55, 'powers': [133, 102, 15], 'representative': 4511353447493637, 'size': 13310}
  • id: 108792513
    {'aut_label': '55B-1', 'centralizer': None, 'counter': 132, 'group_counter': 7, 'group_order': 1464100, 'label': '55B-1', 'order': 55, 'powers': [134, 102, 16], 'representative': 25213937130179180, 'size': 13310}
  • id: 108792514
    {'aut_label': '55B2', 'centralizer': None, 'counter': 133, 'group_counter': 7, 'group_order': 1464100, 'label': '55B2', 'order': 55, 'powers': [132, 102, 14], 'representative': 24674530621433849, 'size': 13310}
  • id: 108792515
    {'aut_label': '55B-2', 'centralizer': None, 'counter': 134, 'group_counter': 7, 'group_order': 1464100, 'label': '55B-2', 'order': 55, 'powers': [131, 102, 13], 'representative': 36631850097318848, 'size': 13310}
  • id: 108792516
    {'aut_label': '55C1', 'centralizer': None, 'counter': 135, 'group_counter': 7, 'group_order': 1464100, 'label': '55C1', 'order': 55, 'powers': [137, 101, 8], 'representative': 34195380811300613, 'size': 13310}
  • id: 108792517
    {'aut_label': '55C-1', 'centralizer': None, 'counter': 136, 'group_counter': 7, 'group_order': 1464100, 'label': '55C-1', 'order': 55, 'powers': [138, 101, 7], 'representative': 15382918287876235, 'size': 13310}
  • id: 108792518
    {'aut_label': '55C2', 'centralizer': None, 'counter': 137, 'group_counter': 7, 'group_order': 1464100, 'label': '55C2', 'order': 55, 'powers': [136, 101, 5], 'representative': 5355686834578668, 'size': 13310}
  • id: 108792519
    {'aut_label': '55C-2', 'centralizer': None, 'counter': 138, 'group_counter': 7, 'group_order': 1464100, 'label': '55C-2', 'order': 55, 'powers': [135, 101, 6], 'representative': 21298702358413987, 'size': 13310}
  • id: 108792520
    {'aut_label': '55D1', 'centralizer': None, 'counter': 139, 'group_counter': 7, 'group_order': 1464100, 'label': '55D1', 'order': 55, 'powers': [141, 103, 17], 'representative': 18533762109941276, 'size': 13310}
  • id: 108792522
    {'aut_label': '55D-1', 'centralizer': None, 'counter': 140, 'group_counter': 7, 'group_order': 1464100, 'label': '55D-1', 'order': 55, 'powers': [142, 103, 18], 'representative': 3338833888360523, 'size': 13310}
  • id: 108792523
    {'aut_label': '55D2', 'centralizer': None, 'counter': 141, 'group_counter': 7, 'group_order': 1464100, 'label': '55D2', 'order': 55, 'powers': [140, 103, 19], 'representative': 1619065739307881, 'size': 13310}
  • id: 108792524
    {'aut_label': '55D-2', 'centralizer': None, 'counter': 142, 'group_counter': 7, 'group_order': 1464100, 'label': '55D-2', 'order': 55, 'powers': [139, 103, 20], 'representative': 27505559592643803, 'size': 13310}
  • id: 108792525
    {'aut_label': '110A1', 'centralizer': None, 'counter': 143, 'group_counter': 7, 'group_order': 1464100, 'label': '110A1', 'order': 110, 'powers': [123, 119, 29], 'representative': 36744626142160018, 'size': 6655}
  • id: 108792526
    {'aut_label': '110A-1', 'centralizer': None, 'counter': 144, 'group_counter': 7, 'group_order': 1464100, 'label': '110A-1', 'order': 110, 'powers': [124, 120, 30], 'representative': 29305661456482530, 'size': 6655}
  • id: 108792527
    {'aut_label': '110A3', 'centralizer': None, 'counter': 145, 'group_counter': 7, 'group_order': 1464100, 'label': '110A3', 'order': 110, 'powers': [126, 119, 31], 'representative': 8707592455861383, 'size': 6655}
  • id: 108792528
    {'aut_label': '110A-3', 'centralizer': None, 'counter': 146, 'group_counter': 7, 'group_order': 1464100, 'label': '110A-3', 'order': 110, 'powers': [125, 120, 32], 'representative': 41012122820390690, 'size': 6655}
  • id: 108792529
    {'aut_label': '110A-1', 'centralizer': None, 'counter': 147, 'group_counter': 7, 'group_order': 1464100, 'label': '110A9', 'order': 110, 'powers': [127, 119, 30], 'representative': 23920038015175983, 'size': 6655}
  • id: 108792530
    {'aut_label': '110A1', 'centralizer': None, 'counter': 148, 'group_counter': 7, 'group_order': 1464100, 'label': '110A-9', 'order': 110, 'powers': [128, 120, 29], 'representative': 16857408204927314, 'size': 6655}
  • id: 108792531
    {'aut_label': '110A3', 'centralizer': None, 'counter': 149, 'group_counter': 7, 'group_order': 1464100, 'label': '110A13', 'order': 110, 'powers': [129, 120, 31], 'representative': 23240456953736654, 'size': 6655}
  • id: 108792533
    {'aut_label': '110A-3', 'centralizer': None, 'counter': 150, 'group_counter': 7, 'group_order': 1464100, 'label': '110A-13', 'order': 110, 'powers': [130, 119, 32], 'representative': 36039869788620431, 'size': 6655}
  • id: 108792534
    {'aut_label': '110B1', 'centralizer': None, 'counter': 151, 'group_counter': 7, 'group_order': 1464100, 'label': '110B1', 'order': 110, 'powers': [129, 115, 33], 'representative': 12266203169179478, 'size': 6655}
  • id: 108792535
    {'aut_label': '110B-1', 'centralizer': None, 'counter': 152, 'group_counter': 7, 'group_order': 1464100, 'label': '110B-1', 'order': 110, 'powers': [130, 116, 34], 'representative': 45698555747225105, 'size': 6655}
  • id: 108792536
    {'aut_label': '110B3', 'centralizer': None, 'counter': 153, 'group_counter': 7, 'group_order': 1464100, 'label': '110B3', 'order': 110, 'powers': [124, 115, 35], 'representative': 35451307916062834, 'size': 6655}
  • id: 108792537
    {'aut_label': '110B-3', 'centralizer': None, 'counter': 154, 'group_counter': 7, 'group_order': 1464100, 'label': '110B-3', 'order': 110, 'powers': [123, 116, 36], 'representative': 24053113142588661, 'size': 6655}
  • id: 108792538
    {'aut_label': '110B-1', 'centralizer': None, 'counter': 155, 'group_counter': 7, 'group_order': 1464100, 'label': '110B9', 'order': 110, 'powers': [125, 115, 34], 'representative': 42125255767873144, 'size': 6655}
  • id: 108792539
    {'aut_label': '110B1', 'centralizer': None, 'counter': 156, 'group_counter': 7, 'group_order': 1464100, 'label': '110B-9', 'order': 110, 'powers': [126, 116, 33], 'representative': 17587360850004090, 'size': 6655}
  • id: 108792540
    {'aut_label': '110B3', 'centralizer': None, 'counter': 157, 'group_counter': 7, 'group_order': 1464100, 'label': '110B13', 'order': 110, 'powers': [127, 116, 35], 'representative': 16638105756657679, 'size': 6655}
  • id: 108792541
    {'aut_label': '110B-3', 'centralizer': None, 'counter': 158, 'group_counter': 7, 'group_order': 1464100, 'label': '110B-13', 'order': 110, 'powers': [128, 115, 36], 'representative': 44825420644022118, 'size': 6655}
  • id: 108792542
    {'aut_label': '110A-1', 'centralizer': None, 'counter': 159, 'group_counter': 7, 'group_order': 1464100, 'label': '110C1', 'order': 110, 'powers': [127, 121, 49], 'representative': 32262945085647145, 'size': 6655}
  • id: 108792544
    {'aut_label': '110A1', 'centralizer': None, 'counter': 160, 'group_counter': 7, 'group_order': 1464100, 'label': '110C-1', 'order': 110, 'powers': [128, 122, 50], 'representative': 31306362351961108, 'size': 6655}
  • id: 108792545
    {'aut_label': '110A-3', 'centralizer': None, 'counter': 161, 'group_counter': 7, 'group_order': 1464100, 'label': '110C3', 'order': 110, 'powers': [130, 121, 51], 'representative': 2189191879174172, 'size': 6655}
  • id: 108792546
    {'aut_label': '110A3', 'centralizer': None, 'counter': 162, 'group_counter': 7, 'group_order': 1464100, 'label': '110C-3', 'order': 110, 'powers': [129, 122, 52], 'representative': 37224987685267998, 'size': 6655}
  • id: 108792547
    {'aut_label': '110A1', 'centralizer': None, 'counter': 163, 'group_counter': 7, 'group_order': 1464100, 'label': '110C9', 'order': 110, 'powers': [123, 121, 50], 'representative': 12522203055912834, 'size': 6655}
  • id: 108792548
    {'aut_label': '110A-1', 'centralizer': None, 'counter': 164, 'group_counter': 7, 'group_order': 1464100, 'label': '110C-9', 'order': 110, 'powers': [124, 122, 49], 'representative': 26372378251330028, 'size': 6655}
  • id: 108792549
    {'aut_label': '110A-3', 'centralizer': None, 'counter': 165, 'group_counter': 7, 'group_order': 1464100, 'label': '110C13', 'order': 110, 'powers': [125, 122, 51], 'representative': 44739225495601195, 'size': 6655}
  • id: 108792550
    {'aut_label': '110A3', 'centralizer': None, 'counter': 166, 'group_counter': 7, 'group_order': 1464100, 'label': '110C-13', 'order': 110, 'powers': [126, 121, 52], 'representative': 30457606968235819, 'size': 6655}
  • id: 108792551
    {'aut_label': '110D1', 'centralizer': None, 'counter': 167, 'group_counter': 7, 'group_order': 1464100, 'label': '110D1', 'order': 110, 'powers': [131, 111, 37], 'representative': 28849769831973499, 'size': 13310}
  • id: 108792552
    {'aut_label': '110D-1', 'centralizer': None, 'counter': 168, 'group_counter': 7, 'group_order': 1464100, 'label': '110D-1', 'order': 110, 'powers': [132, 111, 38], 'representative': 27382675197205368, 'size': 13310}
  • id: 108792553
    {'aut_label': '110D3', 'centralizer': None, 'counter': 169, 'group_counter': 7, 'group_order': 1464100, 'label': '110D3', 'order': 110, 'powers': [134, 111, 39], 'representative': 34956003695177854, 'size': 13310}
  • id: 108792555
    {'aut_label': '110D-3', 'centralizer': None, 'counter': 170, 'group_counter': 7, 'group_order': 1464100, 'label': '110D-3', 'order': 110, 'powers': [133, 111, 40], 'representative': 17650705165976395, 'size': 13310}
  • id: 108792556
    {'aut_label': '110E1', 'centralizer': None, 'counter': 171, 'group_counter': 7, 'group_order': 1464100, 'label': '110E1', 'order': 110, 'powers': [135, 110, 41], 'representative': 42102516440685476, 'size': 13310}
  • id: 108792557
    {'aut_label': '110E-1', 'centralizer': None, 'counter': 172, 'group_counter': 7, 'group_order': 1464100, 'label': '110E-1', 'order': 110, 'powers': [136, 110, 42], 'representative': 27772363420284955, 'size': 13310}
  • id: 108792558
    {'aut_label': '110E3', 'centralizer': None, 'counter': 173, 'group_counter': 7, 'group_order': 1464100, 'label': '110E3', 'order': 110, 'powers': [138, 110, 43], 'representative': 6245531127962708, 'size': 13310}
  • id: 108792559
    {'aut_label': '110E-3', 'centralizer': None, 'counter': 174, 'group_counter': 7, 'group_order': 1464100, 'label': '110E-3', 'order': 110, 'powers': [137, 110, 44], 'representative': 44885540111321592, 'size': 13310}
  • id: 108792560
    {'aut_label': '110F1', 'centralizer': None, 'counter': 175, 'group_counter': 7, 'group_order': 1464100, 'label': '110F1', 'order': 110, 'powers': [139, 112, 45], 'representative': 23037141359691866, 'size': 13310}
  • id: 108792561
    {'aut_label': '110F-1', 'centralizer': None, 'counter': 176, 'group_counter': 7, 'group_order': 1464100, 'label': '110F-1', 'order': 110, 'powers': [140, 112, 46], 'representative': 2975636083062218, 'size': 13310}
  • id: 108792562
    {'aut_label': '110F3', 'centralizer': None, 'counter': 177, 'group_counter': 7, 'group_order': 1464100, 'label': '110F3', 'order': 110, 'powers': [142, 112, 47], 'representative': 1257572730190103, 'size': 13310}
  • id: 108792563
    {'aut_label': '110F-3', 'centralizer': None, 'counter': 178, 'group_counter': 7, 'group_order': 1464100, 'label': '110F-3', 'order': 110, 'powers': [141, 112, 48], 'representative': 32010101096243138, 'size': 13310}
• 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: 4011681
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 4011692
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.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, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 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: 4011703
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.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, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -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: 4011714
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.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, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -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: 4011725
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1e', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, 4, 4, -1, 4, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, -1, 4, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4011731
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1f', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 4011732
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1g', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, 4, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1], 'schur_index': 1}
  • id: 4011733
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1h', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, 4, -1, 4, 4, -1, -1, 4, -1, 4, 4, -1, -1, 4, 4, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4011734
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1i', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -1, 4, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, 4], 'schur_index': 1}
  • id: 4011682
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1j', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, 4, -1], 'schur_index': 1}
  • id: 4011683
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1k', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, 4, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -4, -1, 1, 1, 1, -1, 1, 1, 1, 4, 4, -1, -1, 1, -1, -4, -1, -4, 1, -1, -1, -4, -4, -1, 4, 1, -4, -1, 4, -1, 1, 1, 1, 1, -4, -1, -4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -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: 4011684
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, 4, 4, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 4, 1, 1, -4, 1, -1, 4, -4, -1, 1, 1, -1, -4, 1, 1, -1, 1, -4, 1, -1, -1, -1, -1, -4, 4, 1, -1, 1, 1, 4, -1, 1, 1, -1, -1, -4, 1, -1, -1, -1, 1, 1, 1, -4, 1, -1, 1, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -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: 4011685
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1m', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -4, 1, -4, -1, 1, 1, 1, 1, -4, -1, 1, -4, 1, 1, -1, 1, 1, 1, 1, -1, -4, -4, 1, -4, 4, -1, 1, 4, -4, 1, -1, 1, 1, 1, 4, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 4, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -4, 1, 1, -4, 1, -4, 1, 1, -4, 1, 1, 1], 'schur_index': 1}
  • id: 4011686
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, 4, -4, 1, 1, 1, -4, 1, 4, -4, 1, 1, -4, 1, 4, -4, 1, 1, -4, 4, 1, -4, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -4, 4, -4, 4, -4, -4, 4, -4, 4, -4, 4, -4, 4, -4, -4, -4, -4, 4, 4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4011687
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1o', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -1, 4, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -4, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -4, 1, -4, -4, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 4, 1, -4, 1, -1, 1, 1, -4, -1, -1, 4, -1, 1, -1, 1, -1, 1, -4, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 4, -4, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -4, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4], 'schur_index': 1}
  • id: 4011688
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1p', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -4, 1, 1, 1, -1, 1, -4, -4, 1, 1, -1, 1, 1, -4, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -4, -1, -4, 1, 1, -1, -1, -1, 4, 1, -1, 1, -1, 1, 1, -1, 4, 1, 1, 4, -1, 1, 1, 4, -1, -1, 1, -4, -4, 1, 1, -1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, -4, -4, 1], 'schur_index': 1}
  • id: 4011689
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1q', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, 4, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -4, 1, -1, -1, -1, 1, -1, -1, -1, -4, -4, 1, 1, -1, 1, -4, 1, -4, -1, 1, 1, 4, 4, 1, -4, 1, 4, 1, -4, 1, -1, -1, -1, 1, -4, 1, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 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: 4011690
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1r', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, 4, 4, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -4, -1, -1, 4, -1, 1, -4, -4, 1, -1, 1, 1, 4, -1, -1, 1, -1, 4, -1, 1, 1, 1, 1, 4, -4, 1, 1, 1, -1, -4, 1, -1, -1, 1, 1, -4, -1, 1, 1, 1, -1, -1, -1, -4, 1, 1, -1, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 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: 4011691
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1s', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -4, -1, -4, 1, -1, 1, 1, -1, -4, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -1, 4, -4, 1, 1, -4, 4, 1, 1, -1, -1, -1, -4, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -4, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -4, 1, 1, -4, 1, -4, 1, 1, -4, 1, 1, 1], 'schur_index': 1}
  • id: 4011693
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1t', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -4, -4, 1, 1, 1, 4, 1, -4, 4, 1, 1, 4, 1, -4, -4, 1, 1, -4, -4, 1, -4, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, 4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4011694
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1u', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -1, 4, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -4, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -4, 1, -4, -4, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -4, -1, 4, -1, 1, -1, -1, 4, 1, 1, -4, 1, -1, 1, 1, 1, 1, 4, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -4, 4, -1, -1, 1, 1, -4, -1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -4, 1, 1, 1, 1, -4, -4, 1, 1, 1, -4], 'schur_index': 1}
  • id: 4011695
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1v', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -4, 1, -1, 1, 1, -1, -4, -4, -1, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 4, 1, 4, -1, -1, 1, 1, 1, -4, -1, 1, 1, 1, 1, -1, 1, -4, -1, -1, -4, 1, 1, -1, -4, 1, 1, -1, 4, 4, 1, 1, 1, -1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, -4, -4, 1], 'schur_index': 1}
  • id: 4011696
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1w', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, 4, 4, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, -4, -4, 1, 1, 1, 1, 4, 1, 4, 1, 1, 1, -4, -4, 1, -4, -1, -4, 1, -4, 1, 1, 1, 1, -1, 4, 1, -4, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 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: 4011697
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1x', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, 4, -1, -1, 4, 4, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -4, 1, 1, -4, 1, 1, -4, 4, 1, 1, -1, 1, -4, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, -4, -4, -1, 1, -1, 1, -4, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 4, -1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 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: 4011698
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1y', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -1, -1, -1, 4, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 4, 1, 4, 1, 1, -1, -1, 1, 4, 1, -1, 4, -1, -1, 1, -1, -1, -1, -1, 1, -4, -4, 1, -4, -4, 1, -1, -4, -4, -1, 1, 1, 1, 1, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -4, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 4, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1], 'schur_index': 1}
  • id: 4011699
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1z', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -1, -1, 4, -1, -1, -1, -1, -1, -1, 4, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, 4, -1, -1, -1, -4, -1, -4, -4, -1, -1, -4, -1, -4, 4, -1, -1, 4, -4, -1, 4, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4011700
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1aa', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -1, 4, -1, -1, 4, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 4, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 4, -1, 4, 4, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -4, 1, -4, 1, 1, 1, 1, -4, 1, 1, -4, 1, 1, 1, -1, 1, -1, -4, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -4, -4, 1, 1, -1, -1, -4, 1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, 4, -1, -1, -1, 4, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, 4], 'schur_index': 1}
  • id: 4011701
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.1ab', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -1, -1, -1, -1, 4, 4, -1, -1, -1, -1, -1, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 4, -1, 1, -1, 1, 1, 4, 4, 1, -1, 1, -1, -1, 4, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -4, 1, -4, 1, 1, 1, 1, 1, -4, 1, 1, -1, 1, -1, 1, 1, -4, 1, 1, -4, 1, -1, 1, -4, 1, 1, 1, -4, -4, -1, -1, 1, 1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 4, -1, 4, -1, -1, -1, -1, 4, 4, -1], 'schur_index': 1}
  • id: 4011702
    {'cdim': 5, 'counter': 29, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5a', 'multiplicity': 2, 'nt': [11, 3], 'qdim': 10, 'qvalues': [10, 10, 10, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 0, 0, 0, 10, 0, 10, 10, 0, 0, 10, 0, 10, 10, 0, 0, 10, 10, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, -1, -1, -1, -1, 10, 10, 10, 10, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011704
    {'cdim': 5, 'counter': 30, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5b', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, -10, -10, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 10, -10, 0, 0, 0, -10, 0, 10, -10, 0, 0, -10, 0, 10, -10, 0, 0, -10, 10, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, -1, -1, -1, -1, -10, -10, -10, -10, -10, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011705
    {'cdim': 5, 'counter': 31, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5c', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, -10, 10, -10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -10, -10, 0, 0, 0, 10, 0, -10, 10, 0, 0, 10, 0, -10, -10, 0, 0, -10, -10, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, -1, -1, -1, -1, -10, -10, -10, -10, -10, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011706
    {'cdim': 5, 'counter': 32, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5d', 'multiplicity': 2, 'nt': [22, 5], 'qdim': 10, 'qvalues': [10, 10, -10, -10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -10, 10, 0, 0, 0, -10, 0, -10, -10, 0, 0, -10, 0, -10, 10, 0, 0, 10, -10, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 10, 10, 10, -1, -1, -1, -1, 10, 10, 10, 10, 10, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011711
    {'cdim': 10, 'counter': 37, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.10a', 'multiplicity': 1, 'nt': [11, 4], 'qdim': 10, 'qvalues': [10, 10, 0, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, -1, -1, -1, 10, 10, -1, -1, 10, 10, -1, -1, -1, 10, 10, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -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, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1], 'schur_index': 1}
  • id: 4011712
    {'cdim': 10, 'counter': 38, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.10b', 'multiplicity': 1, 'nt': [22, 6], 'qdim': 10, 'qvalues': [10, -10, 0, 0, 0, 10, 0, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, -1, -1, -1, 10, 10, -1, -1, -10, -10, 1, 1, 1, -10, -10, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -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, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], 'schur_index': 1}
  • id: 4011707
    {'cdim': 5, 'counter': 33, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5e', 'multiplicity': 8, 'nt': [55, 0], 'qdim': 40, 'qvalues': [40, 40, 40, 40, 0, 0, -10, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -10, -10, 0, 0, 0, -10, 0, -10, -10, 0, 0, -10, 0, -10, -10, 0, 0, -10, -10, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 40, 40, 40, 40, -4, -4, -4, -4, 40, 40, 40, 40, 40, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011708
    {'cdim': 5, 'counter': 34, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5f', 'multiplicity': 8, 'nt': [110, 0], 'qdim': 40, 'qvalues': [40, -40, -40, 40, 0, 0, -10, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, -10, 10, 0, 0, 0, 10, 0, -10, 10, 0, 0, 10, 0, -10, 10, 0, 0, 10, -10, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 40, 40, 40, 40, -4, -4, -4, -4, -40, -40, -40, -40, -40, 4, 4, 4, 4, 4, -4, 4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011709
    {'cdim': 5, 'counter': 35, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5g', 'multiplicity': 8, 'nt': [110, 0], 'qdim': 40, 'qvalues': [40, -40, 40, -40, 0, 0, -10, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 10, 10, 0, 0, 0, -10, 0, 10, -10, 0, 0, -10, 0, 10, 10, 0, 0, 10, 10, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 40, 40, 40, 40, -4, -4, -4, -4, -40, -40, -40, -40, -40, 4, 4, 4, 4, -4, 4, -4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011710
    {'cdim': 5, 'counter': 36, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.5h', 'multiplicity': 8, 'nt': [110, 0], 'qdim': 40, 'qvalues': [40, 40, -40, -40, 0, 0, -10, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, -10, 0, 0, 0, 10, 0, 10, 10, 0, 0, 10, 0, 10, -10, 0, 0, -10, 10, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 40, 40, 40, 40, -4, -4, -4, -4, 40, 40, 40, 40, 40, -4, -4, -4, -4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4011713
    {'cdim': 10, 'counter': 39, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.10c', 'multiplicity': 4, 'nt': [55, 0], 'qdim': 40, 'qvalues': [40, 40, 0, 0, 0, -10, 0, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 40, -4, -4, -4, 40, 40, -4, -4, 40, 40, -4, -4, -4, 40, 40, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 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, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], 'schur_index': 1}
  • id: 4011715
    {'cdim': 10, 'counter': 40, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.10d', 'multiplicity': 4, 'nt': [110, 0], 'qdim': 40, 'qvalues': [40, -40, 0, 0, 0, -10, 0, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 40, -4, -4, -4, 40, 40, -4, -4, -40, -40, 4, 4, 4, -40, -40, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 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, -1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1], 'schur_index': 1}
  • id: 4011716
    {'cdim': 50, 'counter': 41, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.50a', 'multiplicity': 2, 'nt': [110, 0], 'qdim': 100, 'qvalues': [100, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 100, -10, -10, -10, -10, -10, 1, 1, 100, 100, -10, -10, -10, -10, -10, 1, 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], 'schur_index': 1}
  • id: 4011717
    {'cdim': 50, 'counter': 42, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.50b', 'multiplicity': 2, 'nt': [220, 0], 'qdim': 100, 'qvalues': [100, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 100, -10, -10, -10, -10, -10, 1, 1, -100, -100, 10, 10, 10, 10, 10, -1, -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], 'schur_index': 1}
  • id: 4011718
    {'cdim': 110, 'counter': 43, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110a', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 10, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 11, -11, 0, 0, 0, 0, -11, 0, 0, 11, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -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, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4011719
    {'cdim': 110, 'counter': 44, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110b', 'multiplicity': 1, 'nt': [121, 0], 'qdim': 110, 'qvalues': [110, 110, 0, 0, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, -11, 0, 0, 0, 0, 0, 0, 0, 110, -11, 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, -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, -1, 0, -1, 0, 0, 0, 0, -1, -1, 0], 'schur_index': 1}
  • id: 4011720
    {'cdim': 110, 'counter': 45, 'faithful': True, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110c', 'multiplicity': 1, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 10, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, 0, 0, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, 11, -11, 0, 0, 0, 0, 11, 0, 0, -11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -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, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4011721
    {'cdim': 110, 'counter': 46, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110d', 'multiplicity': 1, 'nt': [242, 0], 'qdim': 110, 'qvalues': [110, -110, 0, 0, 10, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -10, -10, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, -11, 0, 0, 0, 0, 0, 0, 0, -110, 11, 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, -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, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], 'schur_index': 1}
  • id: 4011722
    {'cdim': 110, 'counter': 47, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110e', 'multiplicity': 4, 'nt': [605, 0], 'qdim': 440, 'qvalues': [440, 440, 0, 0, -10, 0, 0, 0, 0, -10, -10, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -10, -10, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, -44, 0, 0, 0, 0, 0, 0, 0, 440, -44, 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, 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, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], 'schur_index': 1}
  • id: 4011723
    {'cdim': 110, 'counter': 48, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110f', 'multiplicity': 4, 'nt': [605, 0], 'qdim': 440, 'qvalues': [440, 440, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, 0, 0, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 44, -44, 0, 0, 0, 0, -44, 0, 0, 44, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4011724
    {'cdim': 110, 'counter': 49, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110g', 'multiplicity': 4, 'nt': [1210, 0], 'qdim': 440, 'qvalues': [440, -440, 0, 0, -10, 0, 0, 0, 0, -10, -10, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 10, 10, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, -44, 0, 0, 0, 0, 0, 0, 0, -440, 44, 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, 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, -1, 0, -1, 0, 0, 0, 0, -1, -1, 0], 'schur_index': 1}
  • id: 4011726
    {'cdim': 110, 'counter': 50, 'faithful': True, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.110h', 'multiplicity': 4, 'nt': [1210, 0], 'qdim': 440, 'qvalues': [440, -440, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, -10, 0, -10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 44, -44, 0, 0, 0, 0, 44, 0, 0, -44, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 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, -1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4011727
    {'cdim': 550, 'counter': 51, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.550a', 'multiplicity': 1, 'nt': [605, 0], 'qdim': 550, 'qvalues': [550, 550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 0, -55, 0, 11, 0, 0, 0, 0, -55, 0, -55, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4011728
    {'cdim': 550, 'counter': 52, 'faithful': False, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.550b', 'multiplicity': 1, 'nt': [605, 0], 'qdim': 550, 'qvalues': [550, 550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 0, 55, -11, 0, 0, 0, 0, 0, -55, 0, 55, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4011729
    {'cdim': 550, 'counter': 53, 'faithful': True, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.550c', 'multiplicity': 1, 'nt': [1210, 0], 'qdim': 550, 'qvalues': [550, -550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 0, -55, 0, 11, 0, 0, 0, 0, 55, 0, 55, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 4011730
    {'cdim': 550, 'counter': 54, 'faithful': True, 'group': '1464100.g', 'group_order': 1464100, 'image': None, 'label': '1464100.g.550d', 'multiplicity': 1, 'nt': [1210, 0], 'qdim': 550, 'qvalues': [550, -550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 0, 55, -11, 0, 0, 0, 0, 0, 55, 0, -55, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 5700173
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 1464100, 'label': '1464100.g.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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 5700344
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 93, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1aa1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]]]}
  • id: 5700345
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 94, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1aa2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]]]}
  • id: 5700346
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 95, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1aa3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]]]}
  • id: 5700347
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 96, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1aa4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, -2]], [[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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]]]}
  • id: 5700348
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 97, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1ab1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]]]}
  • id: 5700349
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 98, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1ab2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]]]}
  • id: 5700350
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 99, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1ab3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[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]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]]]}
  • id: 5700175
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  • id: 5700263
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 732050, 'label': '1464100.g.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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-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: 5700274
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 732050, 'label': '1464100.g.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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 5700285
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 732050, 'label': '1464100.g.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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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: 5700296
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 5, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1e1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5700307
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 6, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1e2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5700318
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 7, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1e3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]]]}
  • id: 5700329
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 8, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1e4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 0]], [[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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]]]}
  • id: 5700340
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1f1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]]]}
  • id: 5700174
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1f2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]]]}
  • id: 5700185
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1f3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]]]}
  • id: 5700196
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1f4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]]]}
  • id: 5700207
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1g1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 5700218
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1g2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 5700229
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 15, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1g3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]]]}
  • id: 5700240
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 16, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1g4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]]]}
  • id: 5700251
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1h1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[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, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[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, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]]]}
  • id: 5700261
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1h2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[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, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[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, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]]]}
  • id: 5700262
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1h3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]]]}
  • id: 5700264
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1h4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]]]}
  • id: 5700265
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1i1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]]]}
  • id: 5700266
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1i2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]]]}
  • id: 5700267
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  • id: 5700268
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': None, 'kernel_order': 292820, 'label': '1464100.g.1i4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -2]], [[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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]]]}
  • id: 5700269
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  • id: 5700270
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  • id: 5700271
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  • id: 5700272
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  • id: 5700273
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1k1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5700275
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  • id: 5700276
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1k3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]]]}
  • id: 5700277
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1k4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[1, -2]], [[-1, 0]], [[-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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]]]}
  • id: 5700278
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 33, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1l1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]]]}
  • id: 5700279
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 34, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1l2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]]]}
  • id: 5700280
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 35, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1l3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]]]}
  • id: 5700281
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 36, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1l4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]]]}
  • id: 5700282
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 37, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1m1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 5700283
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 38, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1m2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, 0]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 5700284
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 39, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1m3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 5700286
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 40, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1m4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 5700287
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 41, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1n1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-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, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[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, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]]]}
  • id: 5700288
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 42, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1n2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-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, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[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, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]]]}
  • id: 5700289
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 43, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1n3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]]]}
  • id: 5700290
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 44, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1n4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]]]}
  • id: 5700291
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 45, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1o1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]]]}
  • id: 5700292
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 46, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1o2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]]]}
  • id: 5700293
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 47, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1o3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]]]}
  • id: 5700294
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 48, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1o4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[-1, -2]], [[-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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]]]}
  • id: 5700295
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 49, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1p1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]]]}
  • id: 5700297
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 50, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1p2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]]]}
  • id: 5700298
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 51, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1p3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-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]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 5700299
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 52, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1p4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-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]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 5700300
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 53, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1q1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5700301
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 54, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1q2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5700302
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 55, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1q3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]]]}
  • id: 5700303
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 56, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1q4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[1, 0]], [[-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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]]]}
  • id: 5700304
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 57, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1r1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]]]}
  • id: 5700305
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 58, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1r2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]]]}
  • id: 5700306
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 59, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1r3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]]]}
  • id: 5700308
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 60, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1r4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]]]}
  • id: 5700309
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 61, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1s1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 5700310
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 62, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1s2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 5700311
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 63, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1s3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]]]}
  • id: 5700312
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 64, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1s4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]]]}
  • id: 5700313
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 65, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1t1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[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, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[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, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]]]}
  • id: 5700314
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 66, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1t2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[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, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[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, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]]]}
  • id: 5700315
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 67, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1t3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]]]}
  • id: 5700316
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 68, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1t4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]]]}
  • id: 5700317
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 69, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1u1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]]]}
  • id: 5700319
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 70, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1u2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]]]}
  • id: 5700320
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 71, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1u3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]]]}
  • id: 5700321
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 72, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1u4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[1, -2]], [[-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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]]]}
  • id: 5700322
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 73, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1v1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 2]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]]]}
  • id: 5700323
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 74, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1v2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -2]], [[1, 0]], [[-1, -1]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]]]}
  • id: 5700324
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 75, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1v3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 0]], [[-1, -2]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-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]], [[1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]]]}
  • id: 5700325
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 76, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1v4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[1, -1]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-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]], [[1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]]]}
  • id: 5700326
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 77, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1w1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5700327
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 78, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1w2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5700328
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 79, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1w3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]]]}
  • id: 5700330
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 80, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1w4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[-1, -2]], [[-1, 0]], [[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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]]]}
  • id: 5700331
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 81, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1x1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]]]}
  • id: 5700332
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 82, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1x2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, 0]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]]]}
  • id: 5700333
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 83, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1x3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[-1, 0]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]]]}
  • id: 5700334
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 84, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1x4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[-1, -2]], [[1, 2]], [[-1, -2]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[-1, 0]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]]]}
  • id: 5700335
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  • id: 5700336
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  • id: 5700337
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  • id: 5700338
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  • id: 5700339
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  • id: 5700341
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  • id: 5700342
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 91, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1z3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[-1, 0]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]]]}
  • id: 5700343
    {'center': None, 'center_index': 1, 'center_order': 1464100, 'counter': 92, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': None, 'kernel_order': 146410, 'label': '1464100.g.1z4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -2]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 0]], [[1, 2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]]]}
  • id: 5700176
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 101, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '55.1', 'image_order': 55, 'indicator': 0, 'kernel': None, 'kernel_order': 26620, 'label': '1464100.g.5a1', 'nt': [11, 3], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -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]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -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]]]}
  • id: 5700177
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  • id: 5700178
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  • id: 5700179
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  • id: 5700180
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 105, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 110, 'indicator': 0, 'kernel': None, 'kernel_order': 13310, 'label': '1464100.g.5c1', 'nt': [22, 5], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[-5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -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]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -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]]]}
  • id: 5700181
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  • id: 5700182
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 107, 'cyclotomic_n': 11, 'dim': 5, 'faithful': False, 'field': [3, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 110, 'indicator': 0, 'kernel': None, 'kernel_order': 13310, 'label': '1464100.g.5d1', 'nt': [22, 5], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[0, 0]], [[-5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -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]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[-1, 0], [-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -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]]]}
  • id: 5700183
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  • id: 5700184
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  • id: 5700186
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  • id: 5700187
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  • id: 5700188
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  • id: 5700189
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  • id: 5700190
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  • id: 5700191
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  • id: 5700192
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  • id: 5700193
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  • id: 5700194
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  • id: 5700195
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  • id: 5700197
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  • id: 5700198
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  • id: 5700199
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  • id: 5700200
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  • id: 5700201
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 124, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5f8', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[-5, 0]], [[5, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -22]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 22]], [[5, -22]], [[-5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -11]], [[0, 0]], [[5, 11]], [[-5, -22]], [[0, 0]], [[0, 0]], [[-5, 11]], [[0, 0]], [[5, -11]], [[-5, -11]], [[0, 0]], [[0, 0]], [[-5, 11]], [[5, 22]], [[0, 0]], [[-5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700202
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  • id: 5700203
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  • id: 5700204
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  • id: 5700205
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  • id: 5700206
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  • id: 5700208
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 130, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5g6', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -22]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 22]], [[-5, -22]], [[-5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -11]], [[0, 0]], [[-5, 11]], [[5, -22]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[-5, -11]], [[-5, -11]], [[0, 0]], [[0, 0]], [[-5, 11]], [[-5, 22]], [[0, 0]], [[-5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700209
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  • id: 5700210
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 132, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5g8', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[-5, 0]], [[5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -22]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 22]], [[-5, -22]], [[-5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -11]], [[0, 0]], [[-5, 11]], [[5, -22]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[-5, -11]], [[-5, -11]], [[0, 0]], [[0, 0]], [[-5, 11]], [[-5, 22]], [[0, 0]], [[-5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700211
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  • id: 5700212
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 134, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5h2', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[5, -22]], [[0, 0]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -11]], [[-5, 11]], [[5, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -22]], [[0, 0]], [[-5, 22]], [[-5, 11]], [[0, 0]], [[0, 0]], [[-5, 22]], [[0, 0]], [[-5, -22]], [[5, -22]], [[0, 0]], [[0, 0]], [[5, 22]], [[-5, -11]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700213
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  • id: 5700214
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 136, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5h4', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[5, -22]], [[0, 0]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -11]], [[-5, 11]], [[5, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -22]], [[0, 0]], [[-5, 22]], [[-5, 11]], [[0, 0]], [[0, 0]], [[-5, 22]], [[0, 0]], [[-5, -22]], [[5, -22]], [[0, 0]], [[0, 0]], [[5, 22]], [[-5, -11]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700215
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 137, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5h5', 'nt': [110, 0], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -22]], [[-5, 22]], [[5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 11]], [[0, 0]], [[-5, -11]], [[-5, 22]], [[0, 0]], [[0, 0]], [[-5, -11]], [[0, 0]], [[-5, 11]], [[5, 11]], [[0, 0]], [[0, 0]], [[5, -11]], [[-5, -22]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700216
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 138, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5h6', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -22]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 22]], [[-5, -22]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -11]], [[0, 0]], [[-5, 11]], [[-5, -22]], [[0, 0]], [[0, 0]], [[-5, 11]], [[0, 0]], [[-5, -11]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 11]], [[-5, 22]], [[0, 0]], [[5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700217
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  • id: 5700219
    {'center': None, 'center_index': 55, 'center_order': 26620, 'counter': 140, 'cyclotomic_n': 55, 'dim': 5, 'faithful': False, 'field': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.5h8', 'nt': [110, 8], 'q_character': None, 'values': [[[5, 0]], [[5, 0]], [[-5, 0]], [[-5, 0]], [[0, 0]], [[0, 0]], [[5, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, -22]], [[0, 0]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 22]], [[-5, -22]], [[5, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, -11]], [[0, 0]], [[-5, 11]], [[-5, -22]], [[0, 0]], [[0, 0]], [[-5, 11]], [[0, 0]], [[-5, -11]], [[5, -11]], [[0, 0]], [[0, 0]], [[5, 11]], [[-5, 22]], [[0, 0]], [[5, -22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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  • id: 5700220
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 141, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 110, 'indicator': 1, 'kernel': None, 'kernel_order': 13310, 'label': '1464100.g.10a', 'nt': [11, 4], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-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]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]]]}
  • id: 5700221
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 142, 'cyclotomic_n': 1, 'dim': 10, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 220, 'indicator': 1, 'kernel': None, 'kernel_order': 6655, 'label': '1464100.g.10b', 'nt': [22, 6], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[0, 0]], [[-10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-10, 0]], [[-10, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-10, 0]], [[-10, 0]], [[1, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]]]}
  • id: 5700222
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 143, 'cyclotomic_n': 5, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.10c1', 'nt': [55, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 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]], [[10, -2]], [[0, 0]], [[10, -1]], [[10, 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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-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]], [[-1, -2]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]]]}
  • id: 5700223
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 144, 'cyclotomic_n': 5, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.10c2', 'nt': [55, 4], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -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]], [[10, 2]], [[0, 0]], [[10, 1]], [[10, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-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]], [[-1, 2]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -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]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]]]}
  • id: 5700224
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 145, 'cyclotomic_n': 5, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.10c3', 'nt': [55, 0], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -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]], [[10, -1]], [[0, 0]], [[10, 2]], [[10, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-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]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -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]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]]]}
  • id: 5700225
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 146, 'cyclotomic_n': 5, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 550, 'indicator': 0, 'kernel': None, 'kernel_order': 2662, 'label': '1464100.g.10c4', 'nt': [55, 4], 'q_character': None, 'values': [[[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 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]], [[10, 1]], [[0, 0]], [[10, -2]], [[10, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-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]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]]]}
  • id: 5700226
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  • id: 5700227
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  • id: 5700228
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  • id: 5700230
    {'center': None, 'center_index': 110, 'center_order': 13310, 'counter': 150, 'cyclotomic_n': 5, 'dim': 10, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': None, 'image_order': 1100, 'indicator': 0, 'kernel': None, 'kernel_order': 1331, 'label': '1464100.g.10d4', 'nt': [110, 4], 'q_character': None, 'values': [[[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 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]], [[-10, 1]], [[0, 0]], [[-10, -2]], [[-10, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[10, 0]], [[10, 0]], [[-1, 0]], [[-1, 0]], [[-10, 0]], [[-10, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-10, 0]], [[-10, 0]], [[1, 0]], [[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]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]]]}
  • id: 5700231
    {'center': None, 'center_index': 6050, 'center_order': 242, 'counter': 151, 'cyclotomic_n': 11, 'dim': 50, 'faithful': False, 'field': [3, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '6050.o', 'image_order': 6050, 'indicator': 0, 'kernel': None, 'kernel_order': 242, 'label': '1464100.g.50a1', 'nt': [110, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-10, 0], [-10, 1], [-10, 3], [-10, 4], [-10, 5], [-10, -2]], [[10, 1], [10, 3], [10, 4], [10, 5], [10, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[50, 0]], [[50, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-10, 0], [-10, 1], [-10, 3], [-10, 4], [-10, 5], [-10, -2]], [[10, 1], [10, 3], [10, 4], [10, 5], [10, -2]], [[1, 0], [1, 1], [1, 3], [1, 4], [1, 5], [1, -2]], [[-1, 1], [-1, 3], [-1, 4], [-1, 5], [-1, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5700232
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  • id: 5700233
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  • id: 5700234
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  • id: 5700235
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  • id: 5700236
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  • id: 5700237
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  • id: 5700238
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  • id: 5700239
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  • id: 5700241
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  • id: 5700242
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  • id: 5700243
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  • id: 5700244
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  • id: 5700245
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  • id: 5700246
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  • id: 5700247
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 166, 'cyclotomic_n': 5, 'dim': 110, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '732050.y', 'image_order': 732050, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '1464100.g.110f4', 'nt': [605, 4], 'q_character': None, 'values': [[[110, 0]], [[110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[10, -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]], [[10, 2]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[10, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 2]], [[-1, -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]], [[-1, 1]], [[0, 0]], [[0, 0]], [[-1, -1]], [[0, 0]], [[-1, -2]], [[0, 0]], [[0, 0]], [[-1, 2]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5700248
    {'center': None, 'center_index': 66550, 'center_order': 22, 'counter': 167, 'cyclotomic_n': 5, 'dim': 110, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '133100.j', 'image_order': 133100, 'indicator': 0, 'kernel': None, 'kernel_order': 11, 'label': '1464100.g.110g1', 'nt': [1210, 0], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -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]], [[-10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, -1]], [[-10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[110, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-110, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -2]], [[-1, 2]], [[-1, -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]], [[1, 2]], [[0, 0]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[0, 0]]]}
  • id: 5700249
    {'center': None, 'center_index': 66550, 'center_order': 22, 'counter': 168, 'cyclotomic_n': 5, 'dim': 110, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '133100.j', 'image_order': 133100, 'indicator': 0, 'kernel': None, 'kernel_order': 11, 'label': '1464100.g.110g2', 'nt': [1210, 4], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -2]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 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]], [[-10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 1]], [[-10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, -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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[110, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-110, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2]], [[-1, -2]], [[-1, 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]], [[1, -2]], [[0, 0]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[0, 0]]]}
  • id: 5700250
    {'center': None, 'center_index': 66550, 'center_order': 22, 'counter': 169, 'cyclotomic_n': 5, 'dim': 110, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '133100.j', 'image_order': 133100, 'indicator': 0, 'kernel': None, 'kernel_order': 11, 'label': '1464100.g.110g3', 'nt': [1210, 0], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 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]], [[-10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 2]], [[-10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[110, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-110, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -2]], [[-1, -1]], [[-1, 1]], [[-1, 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]], [[1, 1]], [[0, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[1, -2]], [[0, 0]]]}
  • id: 5700252
    {'center': None, 'center_index': 66550, 'center_order': 22, 'counter': 170, 'cyclotomic_n': 5, 'dim': 110, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '133100.j', 'image_order': 133100, 'indicator': 0, 'kernel': None, 'kernel_order': 11, 'label': '1464100.g.110g4', 'nt': [1210, 4], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -1]], [[10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -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]], [[-10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, -2]], [[-10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[110, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-110, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2]], [[-1, 1]], [[-1, -1]], [[-1, -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]], [[1, -1]], [[0, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -2]], [[1, 2]], [[0, 0]]]}
  • id: 5700253
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  • id: 5700254
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 172, 'cyclotomic_n': 5, 'dim': 110, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '1464100.g', 'image_order': 1464100, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '1464100.g.110h2', 'nt': [1210, 4], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[10, -2]], [[0, 0]], [[0, 0]], [[10, 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]], [[-10, -1]], [[0, 0]], [[-10, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 1]], [[0, 0]], [[0, 0]], [[-10, 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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -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]], [[1, 2]], [[0, 0]], [[0, 0]], [[1, -2]], [[0, 0]], [[1, 1]], [[0, 0]], [[0, 0]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5700255
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 173, 'cyclotomic_n': 5, 'dim': 110, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '1464100.g', 'image_order': 1464100, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '1464100.g.110h3', 'nt': [1210, 0], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, -2]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[10, 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]], [[-10, -2]], [[0, 0]], [[-10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 2]], [[0, 0]], [[0, 0]], [[-10, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -2]], [[-1, 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]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, 1]], [[0, 0]], [[1, 2]], [[0, 0]], [[0, 0]], [[1, -2]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5700256
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 174, 'cyclotomic_n': 5, 'dim': 110, 'faithful': True, 'field': [1, -1, 1, -1, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '1464100.g', 'image_order': 1464100, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '1464100.g.110h4', 'nt': [1210, 4], 'q_character': None, 'values': [[[110, 0]], [[-110, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[10, 2]], [[0, 0]], [[10, -1]], [[0, 0]], [[0, 0]], [[10, -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]], [[-10, 2]], [[0, 0]], [[-10, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, -2]], [[0, 0]], [[0, 0]], [[-10, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, 2]], [[-1, -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]], [[1, 1]], [[0, 0]], [[0, 0]], [[1, -1]], [[0, 0]], [[1, -2]], [[0, 0]], [[0, 0]], [[1, 2]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5700257
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 175, 'cyclotomic_n': 1, 'dim': 550, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '732050.y', 'image_order': 732050, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '1464100.g.550a', 'nt': [605, 0], 'q_character': None, 'values': [[[550, 0]], [[550, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5700258
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 176, 'cyclotomic_n': 1, 'dim': 550, 'faithful': False, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '732050.y', 'image_order': 732050, 'indicator': 1, 'kernel': None, 'kernel_order': 2, 'label': '1464100.g.550b', 'nt': [605, 0], 'q_character': None, 'values': [[[550, 0]], [[550, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[55, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[55, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5700259
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 177, 'cyclotomic_n': 1, 'dim': 550, 'faithful': True, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '1464100.g', 'image_order': 1464100, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1464100.g.550c', 'nt': [1210, 0], 'q_character': None, 'values': [[[550, 0]], [[-550, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[0, 0]], [[55, 0]], [[0, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5700260
    {'center': None, 'center_index': 732050, 'center_order': 2, 'counter': 178, 'cyclotomic_n': 1, 'dim': 550, 'faithful': True, 'field': [0, 1], 'group': '1464100.g', 'group_counter': 7, 'group_order': 1464100, 'image': None, 'image_isoclass': '1464100.g', 'image_order': 1464100, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '1464100.g.550d', 'nt': [1210, 0], 'q_character': None, 'values': [[[550, 0]], [[-550, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-55, 0]], [[0, 0]], [[55, 0]], [[-11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[55, 0]], [[0, 0]], [[-55, 0]], [[11, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 62001092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1464100, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 110, 'label': '1464100.g.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1464100.g', 'subgroup_hash': None, 'subgroup_order': 1464100, 'subgroup_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 732050, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '732050.y', 'subgroup_hash': None, 'subgroup_order': 732050, 'subgroup_tex': '\\He_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 732050, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '732050.y', 'subgroup_hash': None, 'subgroup_order': 732050, 'subgroup_tex': '\\He_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 732050, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '732050.h', 'subgroup_hash': None, 'subgroup_order': 732050, 'subgroup_tex': 'C_{11}^3:(C_{110}:C_5)', 'supersolvable': True, 'sylow': 0}
  • id: 62001536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 366025, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 55, 'label': '1464100.g.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '366025.d', 'subgroup_hash': None, 'subgroup_order': 366025, 'subgroup_tex': 'C_{11}^3:(C_{55}:C_5)', 'supersolvable': True, 'sylow': 0}
  • id: 62001580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 292820, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '292820.k', 'subgroup_hash': None, 'subgroup_order': 292820, 'subgroup_tex': 'C_2\\times \\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 292820, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '292820.bg', 'subgroup_hash': None, 'subgroup_order': 292820, 'subgroup_tex': 'C_2\\times \\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 292820, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '292820.bd', 'subgroup_hash': None, 'subgroup_order': 292820, 'subgroup_tex': '\\He_{11}:(C_5\\times D_{22})', 'supersolvable': True, 'sylow': 0}
  • id: 62001613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 292820, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '292820.n', 'subgroup_hash': None, 'subgroup_order': 292820, 'subgroup_tex': 'C_2\\times \\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 292820, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '292820.s', 'subgroup_hash': None, 'subgroup_order': 292820, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 292820, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '292820.u', 'subgroup_hash': None, 'subgroup_order': 292820, 'subgroup_tex': 'C_2\\times \\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bc', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bh', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bg', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:(C_5\\times D_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.s', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.v', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.x', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bc', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bh', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bg', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:(C_5\\times D_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.s', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.v', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 146410, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.x', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 146410, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bm', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 62001259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 146410, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.o', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 146410, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.r', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': '\\He_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 146410, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.bl', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 62001292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 146410, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.q', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 146410, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.10._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '146410.z', 'subgroup_hash': None, 'subgroup_order': 146410, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 62001315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.11._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.A', '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': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.11._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.B', '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': '133100.j', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': '\\He_{11}:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 73205, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.20._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73205.i', 'subgroup_hash': None, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_5)', 'supersolvable': True, 'sylow': 0}
  • id: 62001348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 73205, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.20._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73205.g', 'subgroup_hash': None, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_5)', 'supersolvable': True, 'sylow': 0}
  • id: 62001359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 73205, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.20._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73205.l', 'subgroup_hash': None, 'subgroup_order': 73205, 'subgroup_tex': '\\He_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 73205, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.20._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73205.k', 'subgroup_hash': None, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_5)', 'supersolvable': True, 'sylow': 0}
  • id: 62001381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 73205, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.20._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73205.h', 'subgroup_hash': None, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 73205, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.20._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73205.j', 'subgroup_hash': None, 'subgroup_order': 73205, 'subgroup_tex': 'C_{11}^3:(C_{11}:C_5)', 'supersolvable': True, 'sylow': 0}
  • id: 62001403
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.22._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.A', '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': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 62001414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.22._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.B', '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': '66550.v', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^2:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001426
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.22._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.C', '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': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 62001437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.22._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.D', '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': '66550.v', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^2:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.22._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.E', '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': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.22._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.F', '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': '66550.w', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times \\He_{11}:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 58564, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 22, 'label': '1464100.g.25.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '25.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '58564.j', 'subgroup_hash': None, 'subgroup_order': 58564, 'subgroup_tex': '\\He_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001481
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.44._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.A', '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': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.44._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.B', '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': '33275.f', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': '\\He_{11}:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 29282, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.50._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '29282.j', 'subgroup_hash': None, 'subgroup_order': 29282, 'subgroup_tex': 'C_{11}^3:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 29282, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.50._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '29282.j', 'subgroup_hash': None, 'subgroup_order': 29282, 'subgroup_tex': 'C_{11}^3:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 29282, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.50._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '50.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '29282.l', 'subgroup_hash': None, 'subgroup_order': 29282, 'subgroup_tex': 'C_{11}^3:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001537
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '55.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '55.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 55, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.B', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.be', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.C', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.D', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.w', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001574
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.E', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.F', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bu', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001576
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.G', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.H', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bw', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001578
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.I', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.s', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.J', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.t', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times \\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001581
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.K', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.55._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.L', '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': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bd', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 14641, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 11, 'label': '1464100.g.100.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14641.7', 'subgroup_hash': None, 'subgroup_order': 14641, 'subgroup_tex': 'C_{11}^3:C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 62001584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13310, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13310, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bu', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.E', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bo', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.F', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bk', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.G', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.H', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bn', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.I', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.J', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bj', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001595
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.K', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.L', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bg', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.M', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bf', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.N', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bf', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001599
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.O', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.P', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.ba', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.Q', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.R', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bk', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001604
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.S', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.T', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bn', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001606
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.U', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.V', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bj', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001608
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.W', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.X', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bg', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001610
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.Y', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.Z', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bt', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BA', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BB', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.s', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001615
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BC', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BD', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.ba', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001617
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BE', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BF', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.s', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001619
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BG', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.k', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BH', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bt', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001621
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BI', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001622
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BJ', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.110._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BK', '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': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.s', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': '\\He_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.121._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.A', '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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.r', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': 'C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.121._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.B', '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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.r', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': 'C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.121._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.C', '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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.r', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': 'C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.121._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.D', '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': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.p', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': 'C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6655, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6655, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.25', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.C', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.22', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.D', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.24', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.E', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.15', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.F', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.23', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001105
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.G', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.21', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.H', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.24', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.I', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.16', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.J', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.23', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.K', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.15', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001110
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.L', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.21', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.220._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.M', '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': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.24', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': '\\He_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.A', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.n', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.B', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.n', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.C', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.n', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.D', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.o', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.E', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.n', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.F', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.n', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.G', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.n', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 62001120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.H', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.o', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_{11}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.I', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.l', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.J', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.l', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.K', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.l', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001124
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.242._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '242.L', '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': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.l', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001125
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5324, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.275._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '275.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '275.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 275, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{55}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5324.m', 'subgroup_hash': None, 'subgroup_order': 5324, 'subgroup_tex': 'C_{11}^2:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.275._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '275.B', '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': 275, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5324.o', 'subgroup_hash': None, 'subgroup_order': 5324, 'subgroup_tex': 'C_{11}^2:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.484._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.A', '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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3025.g', 'subgroup_hash': None, 'subgroup_order': 3025, 'subgroup_tex': 'C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001129
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.484._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.B', '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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3025.g', 'subgroup_hash': None, 'subgroup_order': 3025, 'subgroup_tex': 'C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.484._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.C', '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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3025.g', 'subgroup_hash': None, 'subgroup_order': 3025, 'subgroup_tex': 'C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.484._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '484.D', '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': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3025.g', 'subgroup_hash': None, 'subgroup_order': 3025, 'subgroup_tex': 'C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '550.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '550.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.12', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62001133
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '550.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '550.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.12', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62001134
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2662, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '550.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '550.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}:C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.3', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2662, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '550.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '550.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.4', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_2\\times \\He_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '550.E', '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': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.4', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_2\\times \\He_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '550.F', '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': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.14', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.550._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '550.G', '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': 550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.14', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2:C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.A', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.B', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.bd', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}:C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.C', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.D', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.o', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.E', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.w', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001145
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.F', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.w', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001146
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.G', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.r', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.H', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.bb', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001149
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.I', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.w', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001150
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.J', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.z', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.K', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.z', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.L', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.bc', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001153
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.M', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.r', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001154
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.N', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.w', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001155
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.O', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.w', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001156
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.P', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.bk', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001157
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.Q', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.z', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.R', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.r', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.S', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.z', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001161
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.T', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.y', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.U', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.z', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.V', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.z', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.W', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.w', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001165
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.X', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001166
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.Y', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.605._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '605.Z', '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': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001168
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1100.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331.5', 'subgroup_hash': None, 'subgroup_order': 1331, 'subgroup_tex': 'C_{11}^3', 'supersolvable': True, 'sylow': 0}
  • id: 62001169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1100.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': None, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1100.C', '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': 1100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331.3', 'subgroup_hash': None, 'subgroup_order': 1331, 'subgroup_tex': '\\He_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001172
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.A', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.B', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001174
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.C', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.D', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.E', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.20', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.F', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.G', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.H', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.I', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.J', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.K', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001184
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.L', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.14', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.M', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.N', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.O', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.P', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.15', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.Q', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001190
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.R', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.S', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.T', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.12', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.U', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.V', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.W', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.X', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.17', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.Y', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.Z', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BA', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BB', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.8', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BC', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BD', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001206
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BE', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BF', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.13', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BG', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001209
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BH', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001210
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BI', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BJ', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.14', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BK', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BL', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BM', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BN', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.15', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BO', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BP', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BQ', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BR', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.12', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BS', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BT', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.16', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BU', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BV', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.17', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BW', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001227
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BX', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BY', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.BZ', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001230
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CA', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001231
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CB', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001232
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CC', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.20', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CD', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.20', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CE', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.8', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CF', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001236
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CG', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CH', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001239
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CI', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.20', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CJ', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CK', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001242
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CL', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CM', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CN', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001245
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CO', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CP', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.11', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001247
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CQ', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001249
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CR', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.18', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CS', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.10', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CT', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.13', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CU', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CV', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CW', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CX', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CY', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.CZ', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1210._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1210.DA', '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': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.21', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001260
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1331._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.A', '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': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.29', 'subgroup_hash': None, 'subgroup_order': 1100, 'subgroup_tex': 'C_{10}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001261
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1331._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.B', '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': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.29', 'subgroup_hash': None, 'subgroup_order': 1100, 'subgroup_tex': 'C_{10}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1331._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.C', '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': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.29', 'subgroup_hash': None, 'subgroup_order': 1100, 'subgroup_tex': 'C_{10}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.1331._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1331.D', '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': 1331, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1100.32', 'subgroup_hash': None, 'subgroup_order': 1100, 'subgroup_tex': 'C_{110}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.A', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001265
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.B', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001266
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.C', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.6', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.D', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.E', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001269
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.F', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001271
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.G', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.6', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001272
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.H', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.6', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001273
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.I', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001274
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.J', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.K', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001276
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.L', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001277
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.M', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.6', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001278
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.N', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001279
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.O', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001280
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.P', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.Q', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.R', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.S', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001285
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.T', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001286
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.U', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001287
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.V', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.3', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.W', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.X', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001290
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.Y', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.Z', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2420._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2420.BA', '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': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.5', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001294
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.A', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001295
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.B', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001296
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.C', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.D', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.E', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001299
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.F', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001300
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.G', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.7', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.H', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.I', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.J', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001305
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.K', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001306
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.2662._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2662.L', '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': 2662, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '550.10', 'subgroup_hash': None, 'subgroup_order': 550, 'subgroup_tex': 'C_{110}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001307
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 242, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.3025._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3025.A', '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': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.3025._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3025.B', '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': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.10', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001309
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.3025._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3025.C', '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': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001310
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.3025._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3025.D', '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': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001311
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.3025._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3025.E', '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': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001312
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.3025._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3025.F', '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': 3025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001313
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5324._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5324.A', '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': 5324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '275.3', 'subgroup_hash': None, 'subgroup_order': 275, 'subgroup_tex': 'C_{55}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001316
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5324._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5324.B', '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': 5324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '275.3', 'subgroup_hash': None, 'subgroup_order': 275, 'subgroup_tex': 'C_{55}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5324._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5324.C', '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': 5324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '275.3', 'subgroup_hash': None, 'subgroup_order': 275, 'subgroup_tex': 'C_{55}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001318
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.5324._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5324.D', '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': 5324, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '275.3', 'subgroup_hash': None, 'subgroup_order': 275, 'subgroup_tex': 'C_{55}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001319
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 242, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6050.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6050.o', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6050, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}:C_5\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001320
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.B', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001321
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 121, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.C', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.D', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.E', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001324
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.F', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001325
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.G', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001327
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.H', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001328
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6050.I', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001329
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.J', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.K', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.3', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.L', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.M', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.3', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.N', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.O', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.P', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001336
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.Q', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.R', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6050._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6050.S', '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': 6050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.A', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.B', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001342
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.C', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001343
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6655.D', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.15', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.E', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.F', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.G', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.H', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001349
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.I', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.J', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001351
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.K', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.12', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001352
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.L', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.M', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001354
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.N', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.O', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001356
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.P', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.Q', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001358
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.R', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.12', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.S', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.T', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.8', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.U', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.12', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001363
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.V', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001364
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.W', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001365
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.X', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001366
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.Y', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001367
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.6655._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6655.Z', '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': 6655, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.7', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 121, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12100.p', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.B', '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': 12100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001371
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.C', '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': 12100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.D', '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': 12100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001373
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.E', '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': 12100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001374
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.F', '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': 12100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001375
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.12100._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12100.G', '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': 12100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001376
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.A', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001377
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.B', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001378
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.C', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001379
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.D', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001380
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.E', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001382
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.F', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001383
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.G', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001384
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.H', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001385
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.I', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001386
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.J', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001387
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.K', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001388
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.L', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001389
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.M', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001390
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.N', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001391
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.O', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001393
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.P', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001394
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.Q', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001395
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.R', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001396
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.S', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001397
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.T', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001398
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.U', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001399
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.V', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001400
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.W', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001401
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.X', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001402
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.Y', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001404
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.Z', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001405
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BA', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001406
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BB', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001407
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BC', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001408
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.BD', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001409
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BE', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001410
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BF', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001411
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BG', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001412
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BH', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001413
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BI', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001415
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BJ', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001416
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BK', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001417
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BL', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001418
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BM', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001419
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BN', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001420
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BO', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001421
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BP', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001422
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BQ', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001423
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BR', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001424
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BS', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001427
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BT', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001428
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BU', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.4', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_5\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001429
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BV', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001430
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BW', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001431
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BX', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001432
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BY', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001433
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.BZ', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001434
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CA', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001435
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 408, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.CB', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001436
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CC', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001438
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CD', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001439
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CE', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001440
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CF', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001441
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 413, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.CG', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001442
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CH', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001443
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CI', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001444
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CJ', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001445
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CK', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001446
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CL', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001447
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.CM', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001449
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 420, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.CN', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001450
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CO', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001451
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CP', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001452
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 423, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13310.CQ', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 62001453
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CR', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001454
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CS', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001455
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CT', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001456
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CU', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001457
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CV', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001458
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CW', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001460
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CX', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001461
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CY', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001462
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.CZ', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.1', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001463
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.13310._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13310.DA', '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': 13310, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.2', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '1464100.g.14641.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14641.A', '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': 14641, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.16', 'subgroup_hash': None, 'subgroup_order': 100, 'subgroup_tex': 'C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 62001465
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.A', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001466
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.B', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001467
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.C', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001468
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.D', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001469
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.E', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001471
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.F', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001472
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.G', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001473
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.H', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001474
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.I', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001475
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.J', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001476
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.K', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001477
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.L', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001478
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26620.M', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001479
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.N', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001480
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.O', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001482
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.P', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001483
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.Q', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001484
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.R', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001485
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26620.S', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001486
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.T', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001487
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 455, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26620.U', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001488
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '26620.V', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 62001489
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.W', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001490
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.X', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001491
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.Y', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001493
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.Z', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001494
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.26620._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26620.BA', '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': 26620, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001495
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.29282._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29282.A', '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': 29282, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': None, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.29282._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29282.B', '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': 29282, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': None, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.29282._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29282.C', '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': 29282, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.5', 'subgroup_hash': None, 'subgroup_order': 50, 'subgroup_tex': 'C_5\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 22, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.33275._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33275.A', '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': 33275, 'quotient_simple': 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': None, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.33275._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '33275.B', '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': 33275, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': None, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.33275._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33275.C', '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': 33275, 'quotient_simple': 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': None, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.33275._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33275.D', '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': 33275, 'quotient_simple': 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': None, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001502
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.33275._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33275.E', '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': 33275, 'quotient_simple': 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': None, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001504
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.33275._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33275.F', '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': 33275, 'quotient_simple': 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': None, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001505
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '1464100.g.58564.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58564.A', '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': 58564, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.2', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_5^2', 'supersolvable': True, 'sylow': 5}
  • id: 62001506
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 22, 'counter': 472, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '66550.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '66550.v', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 66550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{11}^2:(C_5\\times F_{11})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001507
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 473, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.B', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001508
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 474, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.C', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001509
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 475, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.D', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001510
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 476, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.E', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001511
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.F', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001512
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.G', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001513
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 479, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.H', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001515
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 480, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.I', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001516
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.J', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001517
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.K', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001518
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.L', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001519
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '66550.M', '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': 66550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 62001520
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.N', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001521
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.O', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001522
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.P', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001523
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.Q', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001524
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.R', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001526
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.66550._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66550.S', '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': 66550, 'quotient_simple': 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': None, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001527
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.73205._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.A', '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': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.73205._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.B', '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': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.73205._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.C', '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': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001530
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.73205._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.D', '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': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001531
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.73205._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.E', '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': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1464100.g.73205._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '73205.F', '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': 73205, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001533
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 11, 'counter': 497, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '133100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '133100.j', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 133100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_{11}:C_{10}^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001534
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '133100.B', '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': 133100, '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': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001535
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '133100.C', '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': 133100, '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': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001538
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '133100.D', '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': 133100, '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': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001539
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '133100.E', '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': 133100, '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': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001540
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '133100.F', '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': 133100, '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': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001541
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.133100._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '133100.G', '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': 133100, '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': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 62001542
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.A', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001543
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.B', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001544
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 506, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.C', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001545
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 507, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.D', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001546
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 508, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.E', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001547
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 509, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.F', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001549
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.G', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001550
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.H', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001551
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 512, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.I', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001552
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.J', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001553
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 514, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.K', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001554
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.L', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001555
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.M', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001556
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 517, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.N', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001557
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.O', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001558
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 519, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.P', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001560
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.Q', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001561
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.146410._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '146410.R', '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': 146410, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 62001562
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.292820._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '292820.A', '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': 292820, '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': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001563
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.292820._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '292820.B', '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': 292820, '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': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001564
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.292820._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '292820.C', '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': 292820, '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': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001565
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.292820._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '292820.D', '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': 292820, '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': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001566
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.292820._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '292820.E', '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': 292820, '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': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001567
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.292820._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '292820.F', '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': 292820, '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': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 62001568
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1464100.g.366025.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '366025.A', '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': 366025, 'quotient_simple': 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': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 2}
  • id: 62001569
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 529, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.732050._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '732050.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '732050.y', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 732050, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_{11}:(C_5\\times F_{11})', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62001571
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.732050._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '732050.B', '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': 732050, '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': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62001572
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1464100.g.732050._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '732050.C', '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': 732050, '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': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 62001573
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1464100.g', 'ambient_counter': 7, 'ambient_order': 1464100, 'ambient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 532, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '1464100.g.1464100.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1464100.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1464100.g', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1464100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_{11}.(C_{10}\\times F_{11})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, '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: 62001092
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 12227473867416144, 16916233987183140, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, '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': None}
  • id: 62001093
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.5._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001094
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.121._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '121.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001095
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 16916233987183140, 41807263995066384, 7482093217385458], 'label': '1464100.g.121._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '121.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001096
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 12227473867416144, 16916233987183140, 41807263995066384, 7482093217385458], 'label': '1464100.g.121._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '121.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001097
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384, 31999373789816681], 'label': '1464100.g.121._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '121.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001098
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.220._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001099
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18042902764972717, 16299101076387051], 'label': '1464100.g.220._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001100
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 16299101076387051, 7482093217385458], 'label': '1464100.g.220._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001101
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 17757254137339579, 16299101076387051], 'label': '1464100.g.220._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001102
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 20311986483025715, 16299101076387051], 'label': '1464100.g.220._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001103
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.220._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001104
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 44211248257883552, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.5._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001105
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 21593952641279202, 16299101076387051], 'label': '1464100.g.220._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001106
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17227068743852060, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.220._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001107
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 18243813847063557, 16299101076387051], 'label': '1464100.g.220._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001108
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18243813847063557, 16299101076387051], 'label': '1464100.g.220._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001109
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16299101076387051, 7482093217385458], 'label': '1464100.g.220._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001110
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 17757254137339579, 16299101076387051], 'label': '1464100.g.220._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001111
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [17227068743852060, 14602989037939905, 21593952641279202, 16299101076387051], 'label': '1464100.g.220._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001112
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.242._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001113
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 41807263995066384, 7482093217385458], 'label': '1464100.g.242._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001114
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 16916233987183140, 41807263995066384, 7482093217385458], 'label': '1464100.g.242._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001115
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 18243813847063557, 41807263995066384, 16299101076387051], 'label': '1464100.g.10._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001116
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 16916233987183140, 41807263995066384, 31999373789816681], 'label': '1464100.g.242._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001117
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 21593952641279202, 6330289992382357, 16916233987183140, 16299101076387051], 'label': '1464100.g.242._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001118
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 21593952641279202, 16916233987183140, 7482093217385458], 'label': '1464100.g.242._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001119
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 36908125710050875, 16916233987183140, 7482093217385458], 'label': '1464100.g.242._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001120
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 21593952641279202, 6330289992382357, 16916233987183140, 31999373789816681], 'label': '1464100.g.242._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001121
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 16299101076387051], 'label': '1464100.g.242._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001122
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 16916233987183140, 7482093217385458], 'label': '1464100.g.242._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001123
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 12227473867416144, 16916233987183140, 7482093217385458], 'label': '1464100.g.242._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001124
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 31999373789816681], 'label': '1464100.g.242._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001125
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.275._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '275.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '275._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001126
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.10._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001127
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051, 41772741070013040], 'label': '1464100.g.275._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '275.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '275._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001128
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 16916233987183140, 16299101076387051], 'label': '1464100.g.484._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '484.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001129
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 7482093217385458], 'label': '1464100.g.484._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '484.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001130
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 16916233987183140, 7482093217385458], 'label': '1464100.g.484._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '484.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001131
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 16916233987183140, 31999373789816681], 'label': '1464100.g.484._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '484.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001132
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.550._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001133
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4917945352635270, 7237241783206007, 21593952641279202, 16299101076387051], 'label': '1464100.g.550._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001134
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 21593952641279202, 16299101076387051], 'label': '1464100.g.550._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001135
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 16299101076387051, 41772741070013040], 'label': '1464100.g.550._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001136
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [14602989037939905, 21593952641279202, 16299101076387051, 41772741070013040], 'label': '1464100.g.550._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001137
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 20311986483025715, 41807263995066384, 16299101076387051], 'label': '1464100.g.10._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001138
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [4917945352635270, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.550._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001139
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.550._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001140
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 8630731626830364, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.605._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001141
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 44211248257883552, 6330289992382357, 41807263995066384, 31999373789816681], 'label': '1464100.g.605._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001142
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [4678286939772806, 42599013456761908, 16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.605._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001143
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 8630731626830364, 16916233987183140, 41807263995066384, 31999373789816681], 'label': '1464100.g.605._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001144
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 30119758435204125, 41807263995066384, 16299101076387051, 20421779815061784], 'label': '1464100.g.605._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001145
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 30119758435204125, 17757254137339579, 41807263995066384], 'label': '1464100.g.605._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001146
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 30119758435204125, 17757254137339579, 41807263995066384], 'label': '1464100.g.605._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001147
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 30119758435204125, 41807263995066384, 31999373789816681, 20421779815061784], 'label': '1464100.g.605._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001148
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 17757254137339579, 41807263995066384, 16299101076387051], 'label': '1464100.g.10._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001149
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 12227473867416144, 41807263995066384, 16299101076387051], 'label': '1464100.g.605._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001150
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 20311986483025715, 41807263995066384], 'label': '1464100.g.605._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001151
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 12227473867416144, 20311986483025715, 41807263995066384], 'label': '1464100.g.605._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001152
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 12227473867416144, 41807263995066384, 31999373789816681], 'label': '1464100.g.605._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001153
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 41807263995066384, 16299101076387051], 'label': '1464100.g.605._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001154
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 21593952641279202, 41807263995066384], 'label': '1464100.g.605._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001155
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 36908125710050875, 41807263995066384], 'label': '1464100.g.605._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001156
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 41807263995066384, 31999373789816681], 'label': '1464100.g.605._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001157
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.605._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001158
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 21593952641279202, 18243813847063557, 41807263995066384], 'label': '1464100.g.605._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001159
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.10._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001160
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 36908125710050875, 18243813847063557, 41807263995066384], 'label': '1464100.g.605._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001161
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 21593952641279202, 41807263995066384, 31999373789816681], 'label': '1464100.g.605._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001162
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 44211248257883552, 6330289992382357, 41807263995066384, 16299101076387051], 'label': '1464100.g.605._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001163
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 44211248257883552, 41807263995066384, 7482093217385458], 'label': '1464100.g.605._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001164
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 44211248257883552, 41807263995066384, 7482093217385458], 'label': '1464100.g.605._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001165
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 21593952641279202, 16916233987183140, 41807263995066384], 'label': '1464100.g.605._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001166
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [2117304103168124, 32303456782274020, 16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.605._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001167
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.605._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '605.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001168
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16299101076387051], 'label': '1464100.g.1100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001169
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.1100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001170
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.10._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001171
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [14602989037939905, 21593952641279202, 16299101076387051], 'label': '1464100.g.1100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001172
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.1210._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001173
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39487941431716180, 20337120930239239, 21593952641279202, 16299101076387051], 'label': '1464100.g.1210._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001174
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [10177976830828792, 21593952641279202, 18068037212186241, 16299101076387051], 'label': '1464100.g.1210._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001175
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 12227473867416144, 16299101076387051], 'label': '1464100.g.1210._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001176
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 21593952641279202, 18243813847063557], 'label': '1464100.g.1210._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001177
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 21593952641279202, 31999373789816681], 'label': '1464100.g.1210._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001178
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 44211248257883552, 7482093217385458], 'label': '1464100.g.1210._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001179
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 44211248257883552, 6330289992382357, 31999373789816681], 'label': '1464100.g.1210._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001180
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 41807263995066384, 16299101076387051], 'label': '1464100.g.1210._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001181
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 18243813847063557, 16299101076387051, 14327159406617510], 'label': '1464100.g.10._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001182
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 20311986483025715, 41807263995066384], 'label': '1464100.g.1210._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001183
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 20311986483025715, 41807263995066384], 'label': '1464100.g.1210._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001184
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 41807263995066384, 31999373789816681], 'label': '1464100.g.1210._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001185
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 19530675154561818, 41807263995066384, 16299101076387051], 'label': '1464100.g.1210._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001186
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 21593952641279202, 41807263995066384], 'label': '1464100.g.1210._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001187
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 36908125710050875, 41807263995066384], 'label': '1464100.g.1210._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001188
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 19530675154561818, 41807263995066384, 31999373789816681], 'label': '1464100.g.1210._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001189
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [19756536319269832, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.1210._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001190
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 18243813847063557, 41807263995066384], 'label': '1464100.g.1210._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001191
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 18243813847063557, 41807263995066384], 'label': '1464100.g.1210._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001192
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17227068743852060, 22304914653456036, 7237241783206007, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.10._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001193
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [19756536319269832, 21593952641279202, 41807263995066384, 31999373789816681], 'label': '1464100.g.1210._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001194
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 41807263995066384, 16299101076387051], 'label': '1464100.g.1210._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001195
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 41807263995066384, 7482093217385458], 'label': '1464100.g.1210._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001196
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 41807263995066384, 7482093217385458], 'label': '1464100.g.1210._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001197
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 41807263995066384, 31999373789816681], 'label': '1464100.g.1210._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001198
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 41807263995066384], 'label': '1464100.g.1210._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001199
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [39487941431716180, 7237241783206007, 21593952641279202, 16916233987183140], 'label': '1464100.g.1210._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001200
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [39487941431716180, 42599013456761908, 39455988861951453, 33336001265401819], 'label': '1464100.g.1210._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001201
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [39487941431716180, 17044686355525849, 20337120930239239, 21593952641279202], 'label': '1464100.g.1210._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001202
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 20493964952620528, 16299101076387051, 20421779815061784], 'label': '1464100.g.1210._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001203
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 16299101076387051, 7482093217385458], 'label': '1464100.g.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001204
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 17044686355525849, 21593952641279202, 20311986483025715, 16299101076387051], 'label': '1464100.g.10._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001205
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 20493964952620528, 17757254137339579], 'label': '1464100.g.1210._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001206
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 20493964952620528, 17757254137339579], 'label': '1464100.g.1210._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001207
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 20493964952620528, 31999373789816681, 20421779815061784], 'label': '1464100.g.1210._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001208
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 21593952641279202, 18042902764972717, 16299101076387051], 'label': '1464100.g.1210._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001209
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 21593952641279202, 20311986483025715], 'label': '1464100.g.1210._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001210
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 36908125710050875, 20311986483025715], 'label': '1464100.g.1210._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001211
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [38116342537768667, 21593952641279202, 18042902764972717, 31999373789816681], 'label': '1464100.g.1210._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001212
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [22304914653456036, 21593952641279202, 19530675154561818, 16299101076387051], 'label': '1464100.g.1210._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001213
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 22304914653456036, 7237241783206007, 21593952641279202], 'label': '1464100.g.1210._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001214
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 22304914653456036, 7237241783206007, 36908125710050875], 'label': '1464100.g.1210._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001215
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 20493964952620528, 17757254137339579, 16299101076387051], 'label': '1464100.g.10._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001216
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [22304914653456036, 21593952641279202, 19530675154561818, 31999373789816681], 'label': '1464100.g.1210._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001217
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [19756536319269832, 21593952641279202, 16299101076387051, 14327159406617510], 'label': '1464100.g.1210._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001218
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 18243813847063557, 14327159406617510], 'label': '1464100.g.1210._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001219
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 18243813847063557, 14327159406617510], 'label': '1464100.g.1210._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001220
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [19756536319269832, 21593952641279202, 31999373789816681, 14327159406617510], 'label': '1464100.g.1210._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001221
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 6185922073279959, 16299101076387051], 'label': '1464100.g.1210._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001222
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 6185922073279959, 7482093217385458], 'label': '1464100.g.1210._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001223
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 6185922073279959, 7482093217385458], 'label': '1464100.g.1210._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001224
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 6185922073279959, 31999373789816681], 'label': '1464100.g.1210._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001225
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [42599013456761908, 16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.1210._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001226
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39487941431716180, 7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.10._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001227
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 21593952641279202, 16916233987183140], 'label': '1464100.g.1210._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001228
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [10177976830828792, 10505238674399091, 42599013456761908, 33336001265401819], 'label': '1464100.g.1210._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001229
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [10177976830828792, 21593952641279202, 25725630772982840, 18068037212186241], 'label': '1464100.g.1210._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001230
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 30119758435204125, 16299101076387051, 20421779815061784], 'label': '1464100.g.1210._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001231
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 30119758435204125, 17757254137339579], 'label': '1464100.g.1210._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001232
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 30119758435204125, 17757254137339579], 'label': '1464100.g.1210._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001233
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 30119758435204125, 31999373789816681, 20421779815061784], 'label': '1464100.g.1210._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001234
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 16916233987183140, 41807263995066384, 31999373789816681], 'label': '1464100.g.1210._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001235
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 20311986483025715], 'label': '1464100.g.1210._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001236
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 12227473867416144, 20311986483025715], 'label': '1464100.g.1210._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001237
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 6185922073279959, 16299101076387051, 7482093217385458], 'label': '1464100.g.10._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001238
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18042902764972717, 12227473867416144], 'label': '1464100.g.1210._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001239
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 16299101076387051], 'label': '1464100.g.1210._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001240
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 21593952641279202], 'label': '1464100.g.1210._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001241
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 36908125710050875], 'label': '1464100.g.1210._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001242
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 31999373789816681], 'label': '1464100.g.1210._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001243
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 21593952641279202, 16299101076387051], 'label': '1464100.g.1210._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001244
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 16299101076387051, 20421779815061784], 'label': '1464100.g.1210._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001245
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 36908125710050875, 18243813847063557], 'label': '1464100.g.1210._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001246
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 17757254137339579, 41807263995066384], 'label': '1464100.g.1210._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001247
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 44211248257883552, 6330289992382357, 16299101076387051], 'label': '1464100.g.1210._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001248
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 17044686355525849, 21593952641279202, 18243813847063557, 16299101076387051], 'label': '1464100.g.10._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001249
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 44211248257883552, 7482093217385458], 'label': '1464100.g.1210._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001250
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 17757254137339579, 41807263995066384], 'label': '1464100.g.1210._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001251
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 31999373789816681, 20421779815061784], 'label': '1464100.g.1210._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001252
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [39487941431716180, 7237241783206007, 16916233987183140, 33336001265401819], 'label': '1464100.g.1210._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001253
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [39487941431716180, 44541429769041699, 14031153889117078, 33336001265401819], 'label': '1464100.g.1210._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001254
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 16916233987183140, 33336001265401819], 'label': '1464100.g.1210._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001255
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [10177976830828792, 27542164781351289, 14031153889117078, 33336001265401819], 'label': '1464100.g.1210._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001256
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [7237241783206007, 16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.1210._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001257
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [16916233987183140, 41807263995066384, 36153495197810732, 33336001265401819], 'label': '1464100.g.1210._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001258
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1210, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 5887521694139811], 'label': '1464100.g.1210._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1210.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001259
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 17044686355525849, 28183269672763796, 21593952641279202, 16299101076387051], 'label': '1464100.g.10._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001260
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384], 'label': '1464100.g.1331._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1331.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001261
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384], 'label': '1464100.g.1331._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1331.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001262
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 12227473867416144, 16916233987183140, 41807263995066384, 7482093217385458], 'label': '1464100.g.1331._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1331.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001263
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384], 'label': '1464100.g.1331._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1331.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001264
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.2420._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001265
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 16299101076387051], 'label': '1464100.g.2420._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001266
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 18243813847063557], 'label': '1464100.g.2420._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001267
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [12506467181141406, 21593952641279202, 18243813847063557], 'label': '1464100.g.2420._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001268
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 7482093217385458], 'label': '1464100.g.2420._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001269
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 25725630772982840, 7482093217385458], 'label': '1464100.g.2420._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001270
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 12227473867416144, 20311986483025715, 16299101076387051], 'label': '1464100.g.10._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001271
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 17757254137339579], 'label': '1464100.g.2420._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001272
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 17757254137339579, 23283906660376810], 'label': '1464100.g.2420._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001273
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140], 'label': '1464100.g.2420._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001274
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 20311986483025715], 'label': '1464100.g.2420._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001275
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 20311986483025715], 'label': '1464100.g.2420._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001276
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18042902764972717], 'label': '1464100.g.2420._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001277
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 21593952641279202, 16299101076387051], 'label': '1464100.g.2420._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001278
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 21593952641279202], 'label': '1464100.g.2420._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001279
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 36908125710050875], 'label': '1464100.g.2420._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001280
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17227068743852060, 17044686355525849, 21593952641279202], 'label': '1464100.g.2420._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001281
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 30119758435204125, 17757254137339579, 16299101076387051], 'label': '1464100.g.10._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001282
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18243813847063557, 16299101076387051], 'label': '1464100.g.2420._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001283
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [42599013456761908, 16916233987183140, 33336001265401819], 'label': '1464100.g.2420._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001284
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 36908125710050875, 18243813847063557], 'label': '1464100.g.2420._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001285
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 16916233987183140, 31999373789816681], 'label': '1464100.g.2420._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001286
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 16299101076387051, 7482093217385458], 'label': '1464100.g.2420._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001287
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 7482093217385458], 'label': '1464100.g.2420._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001288
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 17757254137339579, 16299101076387051], 'label': '1464100.g.2420._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001289
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 17757254137339579], 'label': '1464100.g.2420._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001290
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [16916233987183140, 36153495197810732, 33336001265401819], 'label': '1464100.g.2420._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001291
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [7237241783206007, 16916233987183140, 33336001265401819], 'label': '1464100.g.2420._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001292
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.10._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001293
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1210, 'diagramx': None, 'generators': [17227068743852060, 21593952641279202, 40680060099534298], 'label': '1464100.g.2420._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2420.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001294
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 16916233987183140, 41807263995066384], 'label': '1464100.g.2662._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001295
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 6330289992382357, 16916233987183140, 41807263995066384], 'label': '1464100.g.2662._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001296
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 16916233987183140, 41807263995066384, 7482093217385458], 'label': '1464100.g.2662._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001297
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 6330289992382357, 16916233987183140, 41807263995066384], 'label': '1464100.g.2662._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001298
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [38116342537768667, 21593952641279202, 6330289992382357, 16916233987183140], 'label': '1464100.g.2662._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001299
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [38116342537768667, 36908125710050875, 6330289992382357, 16916233987183140], 'label': '1464100.g.2662._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001300
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 16916233987183140, 7482093217385458], 'label': '1464100.g.2662._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001301
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 38116342537768667, 6330289992382357, 16916233987183140], 'label': '1464100.g.2662._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001302
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140], 'label': '1464100.g.2662._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001303
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 44211248257883552, 16299101076387051, 7482093217385458], 'label': '1464100.g.10._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001304
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 6330289992382357, 12227473867416144, 16916233987183140], 'label': '1464100.g.2662._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001305
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 12227473867416144, 16916233987183140, 7482093217385458], 'label': '1464100.g.2662._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001306
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 6330289992382357, 12227473867416144, 16916233987183140], 'label': '1464100.g.2662._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001307
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 16299101076387051, 41772741070013040], 'label': '1464100.g.3025._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3025.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001308
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 31999373789816681, 41772741070013040], 'label': '1464100.g.3025._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3025.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001309
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [42599013456761908, 30637249820567359, 41807263995066384, 33336001265401819], 'label': '1464100.g.3025._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3025.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001310
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 21593952641279202, 41807263995066384], 'label': '1464100.g.3025._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3025.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001311
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [2117304103168124, 13634846406271921, 41807263995066384, 33336001265401819], 'label': '1464100.g.3025._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3025.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001312
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 41807263995066384, 33336001265401819], 'label': '1464100.g.3025._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3025.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3025._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001313
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 16916233987183140], 'label': '1464100.g.5324._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5324.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5324._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001314
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001315
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 16916233987183140, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.11._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001316
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 6330289992382357, 16916233987183140], 'label': '1464100.g.5324._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5324.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5324._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001317
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 16916233987183140, 7482093217385458], 'label': '1464100.g.5324._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5324.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5324._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001318
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 6330289992382357, 16916233987183140], 'label': '1464100.g.5324._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5324.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5324._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001319
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21593952641279202, 16299101076387051, 41772741070013040], 'label': '1464100.g.6050._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001320
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.6050._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001321
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [4917945352635270, 21593952641279202, 16299101076387051], 'label': '1464100.g.6050._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001322
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 21593952641279202], 'label': '1464100.g.6050._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001323
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [42599013456761908, 30637249820567359, 33336001265401819], 'label': '1464100.g.6050._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001324
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 41772741070013040], 'label': '1464100.g.6050._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001325
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [2117304103168124, 13634846406271921, 33336001265401819], 'label': '1464100.g.6050._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001326
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.11._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001327
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 33336001265401819], 'label': '1464100.g.6050._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001328
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [14602989037939905, 21593952641279202, 41772741070013040], 'label': '1464100.g.6050._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001329
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [4917945352635270, 42599013456761908, 33336001265401819], 'label': '1464100.g.6050._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001330
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [4917945352635270, 40680033090315051, 21593952641279202], 'label': '1464100.g.6050._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001331
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [42599013456761908, 41807263995066384, 33336001265401819], 'label': '1464100.g.6050._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001332
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 31999373789816681], 'label': '1464100.g.6050._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001333
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 41807263995066384], 'label': '1464100.g.6050._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001334
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [4917945352635270, 7237241783206007, 21593952641279202], 'label': '1464100.g.6050._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001335
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [41807263995066384, 36153495197810732, 33336001265401819], 'label': '1464100.g.6050._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001336
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [7237241783206007, 41807263995066384, 33336001265401819], 'label': '1464100.g.6050._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001337
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 18243813847063557, 16299101076387051], 'label': '1464100.g.20._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001338
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [4917945352635270, 7237241783206007, 33336001265401819], 'label': '1464100.g.6050._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001339
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 605, 'diagramx': None, 'generators': [4917945352635270, 36153495197810732, 33336001265401819], 'label': '1464100.g.6050._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6050.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6050._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001340
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 8630731626830364, 16916233987183140, 41807263995066384], 'label': '1464100.g.6655._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001341
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 44211248257883552, 6330289992382357, 41807263995066384], 'label': '1464100.g.6655._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001342
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 16916233987183140, 41807263995066384], 'label': '1464100.g.6655._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001343
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 8630731626830364, 16916233987183140, 41807263995066384], 'label': '1464100.g.6655._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001344
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 30119758435204125, 41807263995066384, 20421779815061784], 'label': '1464100.g.6655._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001345
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 30119758435204125, 41807263995066384, 20421779815061784], 'label': '1464100.g.6655._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001346
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 30119758435204125, 17757254137339579, 41807263995066384], 'label': '1464100.g.6655._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001347
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 30119758435204125, 41807263995066384, 20421779815061784], 'label': '1464100.g.6655._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001348
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.20._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001349
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 12227473867416144, 41807263995066384], 'label': '1464100.g.6655._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001350
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 18042902764972717, 12227473867416144, 41807263995066384], 'label': '1464100.g.6655._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001351
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 12227473867416144, 20311986483025715, 41807263995066384], 'label': '1464100.g.6655._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001352
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 18042902764972717, 12227473867416144, 41807263995066384], 'label': '1464100.g.6655._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001353
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 41807263995066384], 'label': '1464100.g.6655._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001354
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [28183269672763796, 36908125710050875, 19530675154561818, 41807263995066384], 'label': '1464100.g.6655._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001355
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 41807263995066384], 'label': '1464100.g.6655._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001356
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 28183269672763796, 19530675154561818, 41807263995066384], 'label': '1464100.g.6655._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001357
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 21593952641279202, 41807263995066384], 'label': '1464100.g.6655._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001358
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 36908125710050875, 41807263995066384], 'label': '1464100.g.6655._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001359
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 20311986483025715, 16299101076387051], 'label': '1464100.g.20._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001360
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 18243813847063557, 41807263995066384], 'label': '1464100.g.6655._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001361
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 3048623581005576, 19756536319269832, 41807263995066384], 'label': '1464100.g.6655._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001362
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 44211248257883552, 6330289992382357, 41807263995066384], 'label': '1464100.g.6655._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001363
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 44211248257883552, 6330289992382357, 41807263995066384], 'label': '1464100.g.6655._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001364
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 44211248257883552, 41807263995066384, 7482093217385458], 'label': '1464100.g.6655._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001365
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [8630731626830364, 16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.6655._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001366
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [16916233987183140, 41807263995066384, 15266556378899040, 14031153889117078], 'label': '1464100.g.6655._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001367
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [33591401709707975, 16916233987183140, 41807263995066384, 8528325353391536], 'label': '1464100.g.6655._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6655.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6655._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001368
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21593952641279202, 16299101076387051], 'label': '1464100.g.12100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001369
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202], 'label': '1464100.g.12100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001370
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 17757254137339579, 16299101076387051], 'label': '1464100.g.20._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001371
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [42599013456761908, 33336001265401819], 'label': '1464100.g.12100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001372
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202], 'label': '1464100.g.12100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001373
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [7237241783206007, 33336001265401819], 'label': '1464100.g.12100._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001374
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [36153495197810732, 33336001265401819], 'label': '1464100.g.12100._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001375
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [14602989037939905, 21593952641279202], 'label': '1464100.g.12100._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001376
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 16916233987183140, 41807263995066384], 'label': '1464100.g.13310._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001377
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [39487941431716180, 20337120930239239, 21593952641279202], 'label': '1464100.g.13310._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001378
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [10177976830828792, 21593952641279202, 18068037212186241], 'label': '1464100.g.13310._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001379
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 12227473867416144], 'label': '1464100.g.13310._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001380
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36908125710050875, 18042902764972717, 12227473867416144], 'label': '1464100.g.13310._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001381
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.20._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001382
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 21593952641279202], 'label': '1464100.g.13310._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001383
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 18243813847063557], 'label': '1464100.g.13310._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001384
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36908125710050875, 44211248257883552, 6330289992382357], 'label': '1464100.g.13310._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001385
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 44211248257883552, 7482093217385458], 'label': '1464100.g.13310._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001386
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [3048623581005576, 44211248257883552, 6330289992382357], 'label': '1464100.g.13310._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001387
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717, 41807263995066384], 'label': '1464100.g.13310._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001388
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 18042902764972717, 41807263995066384], 'label': '1464100.g.13310._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001389
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 20311986483025715, 41807263995066384], 'label': '1464100.g.13310._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001390
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 18042902764972717, 41807263995066384], 'label': '1464100.g.13310._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001391
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 19530675154561818, 41807263995066384], 'label': '1464100.g.13310._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001392
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 16299101076387051, 7482093217385458], 'label': '1464100.g.20._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001393
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 19530675154561818, 41807263995066384], 'label': '1464100.g.13310._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001394
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 41807263995066384], 'label': '1464100.g.13310._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001395
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 19530675154561818, 41807263995066384], 'label': '1464100.g.13310._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001396
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [19756536319269832, 21593952641279202, 41807263995066384], 'label': '1464100.g.13310._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001397
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [19756536319269832, 36908125710050875, 41807263995066384], 'label': '1464100.g.13310._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001398
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 18243813847063557, 41807263995066384], 'label': '1464100.g.13310._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001399
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 19756536319269832, 41807263995066384], 'label': '1464100.g.13310._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001400
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 41807263995066384], 'label': '1464100.g.13310._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001401
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 6330289992382357, 41807263995066384], 'label': '1464100.g.13310._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001402
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 41807263995066384, 7482093217385458], 'label': '1464100.g.13310._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001403
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.22._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001404
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 6330289992382357, 41807263995066384], 'label': '1464100.g.13310._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001405
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [16916233987183140, 41807263995066384, 33336001265401819], 'label': '1464100.g.13310._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001406
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [39487941431716180, 20337120930239239, 33336001265401819], 'label': '1464100.g.13310._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001407
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [39487941431716180, 7237241783206007, 16916233987183140], 'label': '1464100.g.13310._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001408
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [39487941431716180, 20337120930239239, 34043951341605738], 'label': '1464100.g.13310._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001409
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 20493964952620528, 20421779815061784], 'label': '1464100.g.13310._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001410
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 20493964952620528, 20421779815061784], 'label': '1464100.g.13310._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001411
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 20493964952620528, 17757254137339579], 'label': '1464100.g.13310._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001412
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 20493964952620528, 20421779815061784], 'label': '1464100.g.13310._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001413
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [38116342537768667, 21593952641279202, 18042902764972717], 'label': '1464100.g.13310._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001414
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 6330289992382357, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.22._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001415
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [38116342537768667, 36908125710050875, 18042902764972717], 'label': '1464100.g.13310._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001416
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 20311986483025715], 'label': '1464100.g.13310._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001417
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 38116342537768667, 18042902764972717], 'label': '1464100.g.13310._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001418
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [22304914653456036, 21593952641279202, 19530675154561818], 'label': '1464100.g.13310._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001419
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [22304914653456036, 36908125710050875, 19530675154561818], 'label': '1464100.g.13310._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001420
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 22304914653456036, 7237241783206007], 'label': '1464100.g.13310._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001421
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 22304914653456036, 19530675154561818], 'label': '1464100.g.13310._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001422
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [19756536319269832, 21593952641279202, 14327159406617510], 'label': '1464100.g.13310._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001423
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [19756536319269832, 36908125710050875, 14327159406617510], 'label': '1464100.g.13310._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001424
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 18243813847063557, 14327159406617510], 'label': '1464100.g.13310._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001425
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 12227473867416144, 16916233987183140, 16299101076387051, 7482093217385458], 'label': '1464100.g.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001426
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 21593952641279202, 16916233987183140, 16299101076387051, 7482093217385458], 'label': '1464100.g.22._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001427
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 19756536319269832, 14327159406617510], 'label': '1464100.g.13310._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001428
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 6330289992382357, 6185922073279959], 'label': '1464100.g.13310._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001429
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 6330289992382357, 6185922073279959], 'label': '1464100.g.13310._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001430
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 6185922073279959, 7482093217385458], 'label': '1464100.g.13310._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001431
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 6330289992382357, 6185922073279959], 'label': '1464100.g.13310._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001432
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 16916233987183140, 41807263995066384], 'label': '1464100.g.13310._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001433
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [10177976830828792, 18068037212186241, 33336001265401819], 'label': '1464100.g.13310._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001434
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 16916233987183140], 'label': '1464100.g.13310._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001435
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [10177976830828792, 42759133373735210, 18068037212186241], 'label': '1464100.g.13310._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001436
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 30119758435204125, 20421779815061784], 'label': '1464100.g.13310._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001437
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [38116342537768667, 17044686355525849, 21593952641279202, 6330289992382357, 16916233987183140, 16299101076387051], 'label': '1464100.g.22._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001438
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 30119758435204125, 20421779815061784], 'label': '1464100.g.13310._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001439
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 30119758435204125, 17757254137339579], 'label': '1464100.g.13310._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001440
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 30119758435204125, 20421779815061784], 'label': '1464100.g.13310._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001441
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 12227473867416144, 20311986483025715], 'label': '1464100.g.13310._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001442
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [18042902764972717, 12227473867416144, 34043951341605738], 'label': '1464100.g.13310._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001443
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818], 'label': '1464100.g.13310._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001444
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [28183269672763796, 36908125710050875, 19530675154561818], 'label': '1464100.g.13310._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001445
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796], 'label': '1464100.g.13310._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001446
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 28183269672763796, 19530675154561818], 'label': '1464100.g.13310._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001447
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 16916233987183140, 41807263995066384], 'label': '1464100.g.13310._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001448
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 16916233987183140, 16299101076387051, 7482093217385458], 'label': '1464100.g.22._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001449
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 36908125710050875], 'label': '1464100.g.13310._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001450
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 20421779815061784], 'label': '1464100.g.13310._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001451
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 31999373789816681], 'label': '1464100.g.13310._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001452
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 44211248257883552, 6330289992382357], 'label': '1464100.g.13310._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001453
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 41807263995066384, 20421779815061784], 'label': '1464100.g.13310._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001454
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 17757254137339579, 41807263995066384], 'label': '1464100.g.13310._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001455
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 41807263995066384, 20421779815061784], 'label': '1464100.g.13310._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001456
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [10177976830828792, 10505238674399091, 42599013456761908], 'label': '1464100.g.13310._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001457
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [10177976830828792, 4094243127591846, 36153495197810732], 'label': '1464100.g.13310._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001458
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [39487941431716180, 10505238674399091, 19151091783515294], 'label': '1464100.g.13310._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001459
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 6330289992382357, 12227473867416144, 16916233987183140, 16299101076387051], 'label': '1464100.g.22._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001460
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [16916233987183140, 24619397605178923, 41807263995066384], 'label': '1464100.g.13310._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001461
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [16916233987183140, 41656323731618292, 41807263995066384], 'label': '1464100.g.13310._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001462
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [4094243127591846, 39487941431716180, 31064941587179847], 'label': '1464100.g.13310._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001463
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13310, 'diagramx': None, 'generators': [28183269672763796, 19530675154561818, 29332304938848785], 'label': '1464100.g.13310._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13310.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13310._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001464
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '14641.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [6330289992382357, 12227473867416144, 16916233987183140, 41807263995066384], 'label': '1464100.g.14641.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14641.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14641.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001465
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 16916233987183140], 'label': '1464100.g.26620._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001466
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18042902764972717], 'label': '1464100.g.26620._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001467
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36908125710050875, 18042902764972717], 'label': '1464100.g.26620._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001468
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 18243813847063557], 'label': '1464100.g.26620._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001469
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 18243813847063557], 'label': '1464100.g.26620._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001470
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '25.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 42168183049169418, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.25.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001471
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [36908125710050875, 7482093217385458], 'label': '1464100.g.26620._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001472
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [7237241783206007, 7482093217385458], 'label': '1464100.g.26620._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001473
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [42759133373735210, 7482093217385458], 'label': '1464100.g.26620._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001474
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 17757254137339579], 'label': '1464100.g.26620._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001475
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [40317409046768968, 17757254137339579], 'label': '1464100.g.26620._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001476
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [16916233987183140, 33336001265401819], 'label': '1464100.g.26620._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001477
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 16916233987183140], 'label': '1464100.g.26620._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001478
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 20311986483025715], 'label': '1464100.g.26620._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001479
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [18042902764972717, 34043951341605738], 'label': '1464100.g.26620._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001480
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 21593952641279202], 'label': '1464100.g.26620._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001481
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 16299101076387051, 7482093217385458], 'label': '1464100.g.44._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001482
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 36908125710050875], 'label': '1464100.g.26620._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001483
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007], 'label': '1464100.g.26620._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001484
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [17227068743852060, 34043951341605738], 'label': '1464100.g.26620._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001485
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 18243813847063557], 'label': '1464100.g.26620._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001486
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [12506467181141406, 18243813847063557], 'label': '1464100.g.26620._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001487
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 7482093217385458], 'label': '1464100.g.26620._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001488
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 16916233987183140], 'label': '1464100.g.26620._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001489
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [21593952641279202, 17757254137339579], 'label': '1464100.g.26620._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001490
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36908125710050875, 17757254137339579], 'label': '1464100.g.26620._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001491
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [16916233987183140, 41656323731618292], 'label': '1464100.g.26620._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001492
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 6330289992382357, 16916233987183140, 16299101076387051], 'label': '1464100.g.44._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001493
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [16916233987183140, 24619397605178923], 'label': '1464100.g.26620._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001494
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13310, 'diagramx': None, 'generators': [17227068743852060, 18554863316186964], 'label': '1464100.g.26620._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26620.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26620._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001495
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [6330289992382357, 16916233987183140, 41807263995066384], 'label': '1464100.g.29282._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29282.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29282._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001496
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [38116342537768667, 6330289992382357, 16916233987183140], 'label': '1464100.g.29282._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29282.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29282._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001497
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [6330289992382357, 12227473867416144, 16916233987183140], 'label': '1464100.g.29282._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29282.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29282._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001498
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384, 41772741070013040], 'label': '1464100.g.33275._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33275.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33275._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001499
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 41807263995066384, 41772741070013040], 'label': '1464100.g.33275._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33275.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33275._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001500
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418, 41807263995066384], 'label': '1464100.g.33275._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33275.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33275._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001501
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [41807263995066384, 33336001265401819, 41772741070013040], 'label': '1464100.g.33275._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33275.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33275._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001502
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [12309266061206132, 41807263995066384, 14031153889117078], 'label': '1464100.g.33275._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33275.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33275._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001503
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.50._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001504
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [25134421286598748, 41807263995066384, 8528325353391536], 'label': '1464100.g.33275._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33275.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33275._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001505
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '58564.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [6330289992382357, 16916233987183140], 'label': '1464100.g.58564.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58564.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58564.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001506
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21593952641279202, 41772741070013040], 'label': '1464100.g.66550._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001507
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [33336001265401819, 41772741070013040], 'label': '1464100.g.66550._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001508
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 42168183049169418], 'label': '1464100.g.66550._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001509
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [12309266061206132, 14031153889117078], 'label': '1464100.g.66550._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001510
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [25134421286598748, 8528325353391536], 'label': '1464100.g.66550._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001511
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [21593952641279202, 41807263995066384], 'label': '1464100.g.66550._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001512
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [4917945352635270, 21593952641279202], 'label': '1464100.g.66550._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001513
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17044686355525849, 41772741070013040], 'label': '1464100.g.66550._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001514
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4917945352635270, 7237241783206007, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.50._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001515
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1210, 'diagramx': None, 'generators': [14602989037939905, 41772741070013040], 'label': '1464100.g.66550._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001516
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [4917945352635270, 7237241783206007], 'label': '1464100.g.66550._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001517
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [4917945352635270, 12143843118108152], 'label': '1464100.g.66550._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001518
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7237241783206007, 41807263995066384], 'label': '1464100.g.66550._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001519
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [3048623581005576, 41807263995066384], 'label': '1464100.g.66550._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001520
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [41807263995066384, 33336001265401819], 'label': '1464100.g.66550._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001521
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [4917945352635270, 33336001265401819], 'label': '1464100.g.66550._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001522
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [41656323731618292, 41807263995066384], 'label': '1464100.g.66550._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001523
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [24619397605178923, 41807263995066384], 'label': '1464100.g.66550._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001524
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [4917945352635270, 24619397605178923], 'label': '1464100.g.66550._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001525
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 42168183049169418, 21593952641279202, 16299101076387051], 'label': '1464100.g.50._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001526
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [4917945352635270, 41656323731618292], 'label': '1464100.g.66550._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66550.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66550._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001527
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [8630731626830364, 16916233987183140, 41807263995066384], 'label': '1464100.g.73205._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73205.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001528
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [44211248257883552, 6330289992382357, 41807263995066384], 'label': '1464100.g.73205._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73205.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001529
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [18042902764972717, 12227473867416144, 41807263995066384], 'label': '1464100.g.73205._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73205.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001530
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [28183269672763796, 19530675154561818, 41807263995066384], 'label': '1464100.g.73205._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73205.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001531
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 41807263995066384], 'label': '1464100.g.73205._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73205.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001532
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [30119758435204125, 41807263995066384, 20421779815061784], 'label': '1464100.g.73205._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73205.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73205._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001533
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21593952641279202], 'label': '1464100.g.133100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001534
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [33336001265401819], 'label': '1464100.g.133100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001535
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007], 'label': '1464100.g.133100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001536
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 16916233987183140, 16299101076387051, 7482093217385458], 'label': '1464100.g.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, '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': None}
  • id: 62001537
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001538
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [24619397605178923], 'label': '1464100.g.133100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001539
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [41656323731618292], 'label': '1464100.g.133100._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001540
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [17044686355525849], 'label': '1464100.g.133100._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001541
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1210, 'diagramx': None, 'generators': [14602989037939905], 'label': '1464100.g.133100._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133100.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133100._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001542
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [16916233987183140, 41807263995066384], 'label': '1464100.g.146410._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001543
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [39487941431716180, 20337120930239239], 'label': '1464100.g.146410._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001544
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [10177976830828792, 18068037212186241], 'label': '1464100.g.146410._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001545
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [18042902764972717, 12227473867416144], 'label': '1464100.g.146410._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001546
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832], 'label': '1464100.g.146410._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001547
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [44211248257883552, 6330289992382357], 'label': '1464100.g.146410._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001548
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 44211248257883552, 6330289992382357, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001549
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [41807263995066384, 20421779815061784], 'label': '1464100.g.146410._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001550
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [20493964952620528, 20421779815061784], 'label': '1464100.g.146410._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001551
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [38116342537768667, 18042902764972717], 'label': '1464100.g.146410._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001552
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [22304914653456036, 19530675154561818], 'label': '1464100.g.146410._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001553
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [19756536319269832, 14327159406617510], 'label': '1464100.g.146410._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001554
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [6330289992382357, 6185922073279959], 'label': '1464100.g.146410._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001555
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [18042902764972717, 41807263995066384], 'label': '1464100.g.146410._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001556
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [30119758435204125, 20421779815061784], 'label': '1464100.g.146410._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001557
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [19530675154561818, 41807263995066384], 'label': '1464100.g.146410._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001558
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [28183269672763796, 19530675154561818], 'label': '1464100.g.146410._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001559
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 30119758435204125, 17757254137339579, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001560
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [19756536319269832, 41807263995066384], 'label': '1464100.g.146410._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001561
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [6330289992382357, 41807263995066384], 'label': '1464100.g.146410._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '146410.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '146410._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001562
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [16916233987183140], 'label': '1464100.g.292820._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '292820.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '292820._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001563
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [18042902764972717], 'label': '1464100.g.292820._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '292820.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '292820._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001564
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [18243813847063557], 'label': '1464100.g.292820._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '292820.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '292820._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001565
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [7482093217385458], 'label': '1464100.g.292820._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '292820.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '292820._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001566
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [17757254137339579], 'label': '1464100.g.292820._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '292820.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '292820._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001567
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14641, 'diagramx': None, 'generators': [17227068743852060], 'label': '1464100.g.292820._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '292820.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '292820._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001568
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '366025.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [41807263995066384, 41772741070013040], 'label': '1464100.g.366025.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '366025.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '366025.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001569
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41772741070013040], 'label': '1464100.g.732050._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '732050.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '732050._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001570
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 30119758435204125, 41807263995066384, 16299101076387051, 20421779815061784], 'label': '1464100.g.55._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001571
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [4917945352635270], 'label': '1464100.g.732050._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '732050.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '732050._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001572
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [41807263995066384], 'label': '1464100.g.732050._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '732050.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '732050._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001573
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '1464100.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '1464100.g.1464100.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1464100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1464100.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001574
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 20311986483025715, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001575
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18042902764972717, 12227473867416144, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001576
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001577
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 28183269672763796, 21593952641279202, 19530675154561818, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001578
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 21593952641279202, 18243813847063557, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001579
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001580
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 17044686355525849, 21593952641279202, 18243813847063557, 41807263995066384, 16299101076387051], 'label': '1464100.g.5._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001581
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 44211248257883552, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.55._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001582
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 8630731626830364, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.55._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001583
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': '100.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.100.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001584
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001585
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39487941431716180, 7237241783206007, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.110._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001586
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10177976830828792, 7237241783206007, 21593952641279202, 16916233987183140, 16299101076387051], 'label': '1464100.g.110._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001587
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18042902764972717, 12227473867416144, 16299101076387051], 'label': '1464100.g.110._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001588
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 44211248257883552, 6330289992382357, 16299101076387051], 'label': '1464100.g.110._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001589
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 18042902764972717, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001590
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001591
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 17044686355525849, 28183269672763796, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.5._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001592
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 19530675154561818, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001593
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 18243813847063557, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001594
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [19756536319269832, 17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001595
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 41807263995066384, 16299101076387051, 7482093217385458], 'label': '1464100.g.110._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001596
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 6330289992382357, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001597
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 16916233987183140, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001598
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39487941431716180, 17044686355525849, 20337120930239239, 21593952641279202, 16299101076387051], 'label': '1464100.g.110._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001599
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 20493964952620528, 17757254137339579, 16299101076387051], 'label': '1464100.g.110._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001600
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 20493964952620528, 16299101076387051, 20421779815061784], 'label': '1464100.g.110._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001601
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [38116342537768667, 7237241783206007, 21593952641279202, 20311986483025715, 16299101076387051], 'label': '1464100.g.110._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001602
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 12227473867416144, 20311986483025715, 41807263995066384, 16299101076387051], 'label': '1464100.g.5._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001603
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [38116342537768667, 17044686355525849, 21593952641279202, 18042902764972717, 16299101076387051], 'label': '1464100.g.110._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001604
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17227068743852060, 22304914653456036, 7237241783206007, 21593952641279202, 16299101076387051], 'label': '1464100.g.110._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001605
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [22304914653456036, 17044686355525849, 21593952641279202, 19530675154561818, 16299101076387051], 'label': '1464100.g.110._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001606
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 18243813847063557, 16299101076387051, 14327159406617510], 'label': '1464100.g.110._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001607
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [19756536319269832, 17044686355525849, 21593952641279202, 16299101076387051, 14327159406617510], 'label': '1464100.g.110._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001608
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 6185922073279959, 16299101076387051, 7482093217385458], 'label': '1464100.g.110._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001609
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 6330289992382357, 6185922073279959, 16299101076387051], 'label': '1464100.g.110._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001610
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 17757254137339579, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001611
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [10177976830828792, 17044686355525849, 21593952641279202, 18068037212186241, 16299101076387051], 'label': '1464100.g.110._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001612
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 30119758435204125, 17757254137339579, 16299101076387051], 'label': '1464100.g.110._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001613
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7237241783206007, 17044686355525849, 21593952641279202, 30119758435204125, 17757254137339579, 41807263995066384, 16299101076387051], 'label': '1464100.g.5._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001614
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 30119758435204125, 16299101076387051, 20421779815061784], 'label': '1464100.g.110._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001615
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 12227473867416144, 20311986483025715, 16299101076387051], 'label': '1464100.g.110._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001616
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 21593952641279202, 41807263995066384, 16299101076387051, 20421779815061784], 'label': '1464100.g.110._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001617
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17227068743852060, 7237241783206007, 28183269672763796, 21593952641279202, 16299101076387051], 'label': '1464100.g.110._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001618
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [17044686355525849, 28183269672763796, 21593952641279202, 19530675154561818, 16299101076387051], 'label': '1464100.g.110._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001619
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [36088839780110955, 7237241783206007, 21593952641279202, 18243813847063557, 16299101076387051], 'label': '1464100.g.110._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001620
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [36088839780110955, 19756536319269832, 17044686355525849, 21593952641279202, 16299101076387051], 'label': '1464100.g.110._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001621
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 44211248257883552, 16299101076387051, 7482093217385458], 'label': '1464100.g.110._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001622
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [7237241783206007, 21593952641279202, 20311986483025715, 41807263995066384, 16299101076387051], 'label': '1464100.g.110._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 62001623
    {'ambient': '1464100.g', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [28183269672763796, 21593952641279202, 19530675154561818, 16299101076387051, 42027178307778030], 'label': '1464100.g.110._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BK', 'subgroup_fusion': None, 'weyl_group': None}