Abstract group data - 1458.311

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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': '54.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 6, 'aut_gen_orders': [6, 6, 3, 3, 3, 3, 3, 3], 'aut_gens': [[1, 6, 18, 54, 162], [65, 18, 978, 54, 918], [139, 990, 492, 1080, 1188], [1, 492, 504, 54, 1158], [1, 6, 18, 90, 162], [973, 6, 18, 54, 162], [1, 978, 18, 570, 684], [517, 492, 990, 54, 162], [523, 978, 18, 54, 162]], 'aut_group': None, 'aut_hash': 8367789138210904111, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 26244, 'aut_permdeg': 162, 'aut_perms': [24519824509221056247117728610134320514360850838912471220262457228381406217964754172975271825035244755071734251295651186094890240970229985070993006376313530643729234946669407619808691718351048262982892563403364994236107197814276776792882430857356216992235044093192557038421731561879058569, 10006511975428786487619343858115580848571968958805461095095320711797926521611328039781119465435664468388769116413098504683256316117404100869355152771718040948790355561269571196885457977350487534573383406170909676061828096656440838588459397671011478359176691319727965694089275556084384590113, 7103281020598294522065442535021912708946306614393242669738056311612721675292184519805128293927884639296932767345266816123469820468065521757810325713951758597460164327680254171765978917694009430022156424679180566227420380180904199269801862705788077918740326348503021563536272580565395129589, 8708091372733080440376989524292902004440133314352668061715565547431845531045612828570751830035645069135547154010455247775492245578186488066846021999358833332193485046639952609748066385800378702078665879365820113686205537018230184754534495729548340512956085658308290802361145539281421636002, 43851118513987871405343451934321320377119787074756675650446270647737074397675624354869049572493939454507422122477268294887488232720686187643986332357762654849654385239458734279451916872719358563521777765189983867185328502834159537481833448784181257033767890489752132035462988603707055273, 2673304496549602997101701113435008593542980775635217515733832315478760023557937091556959318500058405040115054452376300113048227596620421659551543002909376216018631178494635790170099532464748489945453448518021828417864420377772117086670289797068492415631747180641840082412046877856528522320, 49037433479801867450035348705578035098397822299529062237439351922040871577271251983088988944597949901818962171797975845637190501590510654470308295744401064331188138261966188122799857499612533430549009637873666458331989301072171813118046742975154524668728793734995497427967515095303701970, 7113652600451097942829442123383356937580501908398037125773769807948305485411131312640435470111364219174359743620940474525315684212338778892821667220627627461003525583507015766555774892646489117251661535298548599598406266522404845715363126341361506832140652720533897152773825905026875057902], 'aut_phi_ratio': 54.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 3, 1, 2], [3, 3, 2, 3], [3, 9, 6, 1], [3, 27, 4, 1], [6, 1, 2, 1], [6, 3, 1, 2], [6, 3, 2, 3], [6, 9, 6, 1], [6, 27, 4, 1], [9, 9, 6, 2], [9, 9, 12, 1], [9, 27, 2, 2], [9, 27, 4, 2], [18, 9, 6, 2], [18, 9, 12, 1], [18, 27, 2, 2], [18, 27, 4, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_3^3.C_3^5.C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 3, 'autcent_group': '27.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 27, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '972.891', 'autcentquo_hash': 891, 'autcentquo_nilpotent': False, 'autcentquo_order': 972, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^3:S_3^2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [3, 3, 8], [3, 9, 6], [3, 27, 4], [6, 1, 2], [6, 3, 8], [6, 9, 6], [6, 27, 4], [9, 9, 24], [9, 27, 12], [18, 9, 24], [18, 27, 12]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '243.37', 'commutator_count': 1, 'commutator_label': '27.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 311, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['729.311', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 3, 2, 4], [3, 9, 2, 3], [3, 27, 2, 2], [6, 1, 2, 1], [6, 3, 2, 4], [6, 9, 2, 3], [6, 27, 2, 2], [9, 9, 2, 9], [9, 9, 6, 1], [9, 27, 2, 6], [18, 9, 2, 9], [18, 9, 6, 1], [18, 27, 2, 6]], 'element_repr_type': 'PC', 'elementary': 3, 'eulerian_function': 58968, 'exponent': 18, 'exponents_of_order': [6, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[9, 0, 6]], 'familial': False, 'frattini_label': '27.5', 'frattini_quotient': '54.15', 'hash': 311, 'hyperelementary': 3, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [3, 3, 3, 3, 3], 'inner_gens': [[1, 492, 18, 96, 1152], [973, 6, 18, 1026, 648], [1, 6, 18, 540, 162], [517, 492, 990, 54, 162], [523, 978, 18, 54, 162]], 'inner_hash': 37, 'inner_nilpotent': True, 'inner_order': 243, 'inner_split': True, 'inner_tex': 'C_3^4:C_3', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': 9, 'irrQ_degree': 54, 'irrQ_dim': 54, 'irrR_degree': 18, 'irrep_stats': [[1, 54], [3, 48], [9, 12]], 'label': '1458.311', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C2*C3^3.C3^3', 'ngens': 7, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 32, 'number_conjugacy_classes': 114, 'number_divisions': 54, 'number_normal_subgroups': 92, 'number_subgroup_autclasses': 172, 'number_subgroup_classes': 414, 'number_subgroups': 1430, 'old_label': None, 'order': 1458, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 1], [3, 188], [6, 188], [9, 540], [18, 540]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [6, 6, 3], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1037, 18, 978, 54, 918], [139, 18, 978, 1080, 726], [487, 492, 504, 72, 1158]], 'outer_group': '108.38', 'outer_hash': 38, 'outer_nilpotent': False, 'outer_order': 108, 'outer_permdeg': 9, 'outer_perms': [173664, 102241, 4], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3\\times S_3^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 83, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 26], [6, 24], [54, 2]], 'representations': {'PC': {'code': '746265348410178058504211695685061025943743', 'gens': [1, 3, 4, 5, 6], 'pres': [7, -2, -3, -3, 3, 3, 3, -3, 14, 10334, 10278, 3364, 9986, 6003, 1075, 48389, 14376, 4555, 166]}, 'Perm': {'d': 83, 'gens': [147069248307040226282864316909429464915210676352207844403707941075615419951104257526737340278503524049611715931680, 4056818722708954112583315078596886447209153947267041424404687952125046484787979958648958217892031599782920192000000000000, 1447699043875900180266540726878022410272275456600228004868334011122486550590196586004116336107320784287962055614136320000, 434852397243121843604700645860177712735617270385645385608408995727763175036305888257830349955373844520580473903971201987, 8549827396823706354984506769470825596107916065371793761249436756679107, 143139204459373239950628350093698015832105109958888976023325072521727612370983734222679461333931456093904926947119248884, 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000]}}, 'schur_multiplier': [3, 3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 6], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_3^3.C_3^3', 'transitive_degree': 162, '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: 108386221
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 311, 'group_order': 1458, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 108386247
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 311, 'group_order': 1458, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 3, 'size': 1}
  • id: 108386258
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 311, 'group_order': 1458, 'label': '3A1', 'order': 3, 'powers': [4, 1], 'representative': 972, 'size': 1}
  • id: 108386269
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 311, 'group_order': 1458, 'label': '3A-1', 'order': 3, 'powers': [3, 1], 'representative': 486, 'size': 1}
  • id: 108386280
    {'aut_label': '3B1', 'centralizer': '3.e1', 'counter': 5, 'group_counter': 311, 'group_order': 1458, 'label': '3B1', 'order': 3, 'powers': [6, 1], 'representative': 36, 'size': 3}
  • id: 108386291
    {'aut_label': '3B-1', 'centralizer': '3.e1', 'counter': 6, 'group_counter': 311, 'group_order': 1458, 'label': '3B-1', 'order': 3, 'powers': [5, 1], 'representative': 18, 'size': 3}
  • id: 108386302
    {'aut_label': '3B1', 'centralizer': '3.e1', 'counter': 7, 'group_counter': 311, 'group_order': 1458, 'label': '3C1', 'order': 3, 'powers': [8, 1], 'representative': 12, 'size': 3}
  • id: 108386313
    {'aut_label': '3B-1', 'centralizer': '3.e1', 'counter': 8, 'group_counter': 311, 'group_order': 1458, 'label': '3C-1', 'order': 3, 'powers': [7, 1], 'representative': 6, 'size': 3}
  • id: 108386324
    {'aut_label': '3D1', 'centralizer': '3.c1', 'counter': 9, 'group_counter': 311, 'group_order': 1458, 'label': '3D1', 'order': 3, 'powers': [10, 1], 'representative': 48, 'size': 3}
  • id: 108386222
    {'aut_label': '3D-1', 'centralizer': '3.c1', 'counter': 10, 'group_counter': 311, 'group_order': 1458, 'label': '3D-1', 'order': 3, 'powers': [9, 1], 'representative': 24, 'size': 3}
  • id: 108386233
    {'aut_label': '3E1', 'centralizer': '3.i1', 'counter': 11, 'group_counter': 311, 'group_order': 1458, 'label': '3E1', 'order': 3, 'powers': [12, 1], 'representative': 30, 'size': 3}
  • id: 108386239
    {'aut_label': '3E1', 'centralizer': '3.i1', 'counter': 12, 'group_counter': 311, 'group_order': 1458, 'label': '3E-1', 'order': 3, 'powers': [11, 1], 'representative': 42, 'size': 3}
  • id: 108386240
    {'aut_label': '3F1', 'centralizer': '9.n1', 'counter': 13, 'group_counter': 311, 'group_order': 1458, 'label': '3F1', 'order': 3, 'powers': [14, 1], 'representative': 108, 'size': 9}
  • id: 108386241
    {'aut_label': '3F1', 'centralizer': '9.n1', 'counter': 14, 'group_counter': 311, 'group_order': 1458, 'label': '3F-1', 'order': 3, 'powers': [13, 1], 'representative': 54, 'size': 9}
  • id: 108386242
    {'aut_label': '3F1', 'centralizer': '9.n1', 'counter': 15, 'group_counter': 311, 'group_order': 1458, 'label': '3G1', 'order': 3, 'powers': [16, 1], 'representative': 630, 'size': 9}
  • id: 108386243
    {'aut_label': '3F1', 'centralizer': '9.n1', 'counter': 16, 'group_counter': 311, 'group_order': 1458, 'label': '3G-1', 'order': 3, 'powers': [15, 1], 'representative': 72, 'size': 9}
  • id: 108386244
    {'aut_label': '3F1', 'centralizer': '9.n1', 'counter': 17, 'group_counter': 311, 'group_order': 1458, 'label': '3H1', 'order': 3, 'powers': [18, 1], 'representative': 1062, 'size': 9}
  • id: 108386245
    {'aut_label': '3F1', 'centralizer': '9.n1', 'counter': 18, 'group_counter': 311, 'group_order': 1458, 'label': '3H-1', 'order': 3, 'powers': [17, 1], 'representative': 126, 'size': 9}
  • id: 108386246
    {'aut_label': '3I1', 'centralizer': '27.f1', 'counter': 19, 'group_counter': 311, 'group_order': 1458, 'label': '3I1', 'order': 3, 'powers': [20, 1], 'representative': 2, 'size': 27}
  • id: 108386248
    {'aut_label': '3I1', 'centralizer': '27.f1', 'counter': 20, 'group_counter': 311, 'group_order': 1458, 'label': '3I-1', 'order': 3, 'powers': [19, 1], 'representative': 4, 'size': 27}
  • id: 108386249
    {'aut_label': '3I1', 'centralizer': '27.f1', 'counter': 21, 'group_counter': 311, 'group_order': 1458, 'label': '3J1', 'order': 3, 'powers': [22, 1], 'representative': 572, 'size': 27}
  • id: 108386250
    {'aut_label': '3I1', 'centralizer': '27.f1', 'counter': 22, 'group_counter': 311, 'group_order': 1458, 'label': '3J-1', 'order': 3, 'powers': [21, 1], 'representative': 112, 'size': 27}
  • id: 108386251
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 311, 'group_order': 1458, 'label': '6A1', 'order': 6, 'powers': [3, 2], 'representative': 489, 'size': 1}
  • id: 108386252
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 311, 'group_order': 1458, 'label': '6A-1', 'order': 6, 'powers': [4, 2], 'representative': 975, 'size': 1}
  • id: 108386253
    {'aut_label': '6B1', 'centralizer': '3.e1', 'counter': 25, 'group_counter': 311, 'group_order': 1458, 'label': '6B1', 'order': 6, 'powers': [5, 2], 'representative': 21, 'size': 3}
  • id: 108386254
    {'aut_label': '6B-1', 'centralizer': '3.e1', 'counter': 26, 'group_counter': 311, 'group_order': 1458, 'label': '6B-1', 'order': 6, 'powers': [6, 2], 'representative': 39, 'size': 3}
  • id: 108386255
    {'aut_label': '6B1', 'centralizer': '3.e1', 'counter': 27, 'group_counter': 311, 'group_order': 1458, 'label': '6C1', 'order': 6, 'powers': [7, 2], 'representative': 9, 'size': 3}
  • id: 108386256
    {'aut_label': '6B-1', 'centralizer': '3.e1', 'counter': 28, 'group_counter': 311, 'group_order': 1458, 'label': '6C-1', 'order': 6, 'powers': [8, 2], 'representative': 15, 'size': 3}
  • id: 108386257
    {'aut_label': '6D1', 'centralizer': '3.c1', 'counter': 29, 'group_counter': 311, 'group_order': 1458, 'label': '6D1', 'order': 6, 'powers': [9, 2], 'representative': 27, 'size': 3}
  • id: 108386259
    {'aut_label': '6D-1', 'centralizer': '3.c1', 'counter': 30, 'group_counter': 311, 'group_order': 1458, 'label': '6D-1', 'order': 6, 'powers': [10, 2], 'representative': 51, 'size': 3}
  • id: 108386260
    {'aut_label': '6E1', 'centralizer': '3.i1', 'counter': 31, 'group_counter': 311, 'group_order': 1458, 'label': '6E1', 'order': 6, 'powers': [11, 2], 'representative': 45, 'size': 3}
  • id: 108386261
    {'aut_label': '6E1', 'centralizer': '3.i1', 'counter': 32, 'group_counter': 311, 'group_order': 1458, 'label': '6E-1', 'order': 6, 'powers': [12, 2], 'representative': 33, 'size': 3}
  • id: 108386262
    {'aut_label': '6F1', 'centralizer': '9.n1', 'counter': 33, 'group_counter': 311, 'group_order': 1458, 'label': '6F1', 'order': 6, 'powers': [13, 2], 'representative': 57, 'size': 9}
  • id: 108386263
    {'aut_label': '6F1', 'centralizer': '9.n1', 'counter': 34, 'group_counter': 311, 'group_order': 1458, 'label': '6F-1', 'order': 6, 'powers': [14, 2], 'representative': 111, 'size': 9}
  • id: 108386264
    {'aut_label': '6F1', 'centralizer': '9.n1', 'counter': 35, 'group_counter': 311, 'group_order': 1458, 'label': '6G1', 'order': 6, 'powers': [15, 2], 'representative': 75, 'size': 9}
  • id: 108386265
    {'aut_label': '6F1', 'centralizer': '9.n1', 'counter': 36, 'group_counter': 311, 'group_order': 1458, 'label': '6G-1', 'order': 6, 'powers': [16, 2], 'representative': 147, 'size': 9}
  • id: 108386266
    {'aut_label': '6F1', 'centralizer': '9.n1', 'counter': 37, 'group_counter': 311, 'group_order': 1458, 'label': '6H1', 'order': 6, 'powers': [17, 2], 'representative': 129, 'size': 9}
  • id: 108386267
    {'aut_label': '6F1', 'centralizer': '9.n1', 'counter': 38, 'group_counter': 311, 'group_order': 1458, 'label': '6H-1', 'order': 6, 'powers': [18, 2], 'representative': 93, 'size': 9}
  • id: 108386268
    {'aut_label': '6I1', 'centralizer': '27.f1', 'counter': 39, 'group_counter': 311, 'group_order': 1458, 'label': '6I1', 'order': 6, 'powers': [19, 2], 'representative': 1, 'size': 27}
  • id: 108386270
    {'aut_label': '6I1', 'centralizer': '27.f1', 'counter': 40, 'group_counter': 311, 'group_order': 1458, 'label': '6I-1', 'order': 6, 'powers': [20, 2], 'representative': 5, 'size': 27}
  • id: 108386271
    {'aut_label': '6I1', 'centralizer': '27.f1', 'counter': 41, 'group_counter': 311, 'group_order': 1458, 'label': '6J1', 'order': 6, 'powers': [21, 2], 'representative': 109, 'size': 27}
  • id: 108386272
    {'aut_label': '6I1', 'centralizer': '27.f1', 'counter': 42, 'group_counter': 311, 'group_order': 1458, 'label': '6J-1', 'order': 6, 'powers': [22, 2], 'representative': 59, 'size': 27}
  • id: 108386273
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 43, 'group_counter': 311, 'group_order': 1458, 'label': '9A1', 'order': 9, 'powers': [44, 3], 'representative': 324, 'size': 9}
  • id: 108386274
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 44, 'group_counter': 311, 'group_order': 1458, 'label': '9A-1', 'order': 9, 'powers': [43, 4], 'representative': 1134, 'size': 9}
  • id: 108386275
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 45, 'group_counter': 311, 'group_order': 1458, 'label': '9B1', 'order': 9, 'powers': [46, 3], 'representative': 432, 'size': 9}
  • id: 108386276
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 46, 'group_counter': 311, 'group_order': 1458, 'label': '9B-1', 'order': 9, 'powers': [45, 4], 'representative': 1188, 'size': 9}
  • id: 108386277
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 47, 'group_counter': 311, 'group_order': 1458, 'label': '9C1', 'order': 9, 'powers': [48, 3], 'representative': 822, 'size': 9}
  • id: 108386278
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 48, 'group_counter': 311, 'group_order': 1458, 'label': '9C-1', 'order': 9, 'powers': [47, 4], 'representative': 1140, 'size': 9}
  • id: 108386279
    {'aut_label': '9D1', 'centralizer': '9.r1', 'counter': 49, 'group_counter': 311, 'group_order': 1458, 'label': '9D1', 'order': 9, 'powers': [50, 4], 'representative': 756, 'size': 9}
  • id: 108386281
    {'aut_label': '9D1', 'centralizer': '9.r1', 'counter': 50, 'group_counter': 311, 'group_order': 1458, 'label': '9D-1', 'order': 9, 'powers': [49, 3], 'representative': 864, 'size': 9}
  • id: 108386282
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 51, 'group_counter': 311, 'group_order': 1458, 'label': '9E1', 'order': 9, 'powers': [52, 4], 'representative': 174, 'size': 9}
  • id: 108386283
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 52, 'group_counter': 311, 'group_order': 1458, 'label': '9E-1', 'order': 9, 'powers': [51, 3], 'representative': 816, 'size': 9}
  • id: 108386284
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 53, 'group_counter': 311, 'group_order': 1458, 'label': '9F1', 'order': 9, 'powers': [54, 3], 'representative': 954, 'size': 9}
  • id: 108386285
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 54, 'group_counter': 311, 'group_order': 1458, 'label': '9F-1', 'order': 9, 'powers': [53, 4], 'representative': 1206, 'size': 9}
  • id: 108386286
    {'aut_label': '9D1', 'centralizer': '9.r1', 'counter': 55, 'group_counter': 311, 'group_order': 1458, 'label': '9G1', 'order': 9, 'powers': [56, 4], 'representative': 1278, 'size': 9}
  • id: 108386287
    {'aut_label': '9D1', 'centralizer': '9.r1', 'counter': 56, 'group_counter': 311, 'group_order': 1458, 'label': '9G-1', 'order': 9, 'powers': [55, 3], 'representative': 882, 'size': 9}
  • id: 108386288
    {'aut_label': '9D1', 'centralizer': '9.r1', 'counter': 57, 'group_counter': 311, 'group_order': 1458, 'label': '9H1', 'order': 9, 'powers': [58, 3], 'representative': 1386, 'size': 9}
  • id: 108386289
    {'aut_label': '9D1', 'centralizer': '9.r1', 'counter': 58, 'group_counter': 311, 'group_order': 1458, 'label': '9H-1', 'order': 9, 'powers': [57, 4], 'representative': 1260, 'size': 9}
  • id: 108386290
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 59, 'group_counter': 311, 'group_order': 1458, 'label': '9I1', 'order': 9, 'powers': [60, 3], 'representative': 1422, 'size': 9}
  • id: 108386292
    {'aut_label': '9A1', 'centralizer': '9.j1', 'counter': 60, 'group_counter': 311, 'group_order': 1458, 'label': '9I-1', 'order': 9, 'powers': [59, 4], 'representative': 1224, 'size': 9}
  • id: 108386293
    {'aut_label': '9J1', 'centralizer': '9.e1', 'counter': 61, 'group_counter': 311, 'group_order': 1458, 'label': '9J1', 'order': 9, 'powers': [63, 3], 'representative': 1316, 'size': 9}
  • id: 108386294
    {'aut_label': '9J1', 'centralizer': '9.e1', 'counter': 62, 'group_counter': 311, 'group_order': 1458, 'label': '9J-1', 'order': 9, 'powers': [64, 4], 'representative': 1138, 'size': 9}
  • id: 108386295
    {'aut_label': '9J1', 'centralizer': '9.e1', 'counter': 63, 'group_counter': 311, 'group_order': 1458, 'label': '9J2', 'order': 9, 'powers': [65, 4], 'representative': 652, 'size': 9}
  • id: 108386296
    {'aut_label': '9J1', 'centralizer': '9.e1', 'counter': 64, 'group_counter': 311, 'group_order': 1458, 'label': '9J-2', 'order': 9, 'powers': [66, 3], 'representative': 344, 'size': 9}
  • id: 108386297
    {'aut_label': '9J1', 'centralizer': '9.e1', 'counter': 65, 'group_counter': 311, 'group_order': 1458, 'label': '9J4', 'order': 9, 'powers': [62, 3], 'representative': 830, 'size': 9}
  • id: 108386298
    {'aut_label': '9J1', 'centralizer': '9.e1', 'counter': 66, 'group_counter': 311, 'group_order': 1458, 'label': '9J-4', 'order': 9, 'powers': [61, 4], 'representative': 166, 'size': 9}
  • id: 108386299
    {'aut_label': '9K1', 'centralizer': '27.z1', 'counter': 67, 'group_counter': 311, 'group_order': 1458, 'label': '9K1', 'order': 9, 'powers': [68, 4], 'representative': 152, 'size': 27}
  • id: 108386300
    {'aut_label': '9K1', 'centralizer': '27.z1', 'counter': 68, 'group_counter': 311, 'group_order': 1458, 'label': '9K-1', 'order': 9, 'powers': [67, 3], 'representative': 544, 'size': 27}
  • id: 108386301
    {'aut_label': '9L1', 'centralizer': '27.k1', 'counter': 69, 'group_counter': 311, 'group_order': 1458, 'label': '9L1', 'order': 9, 'powers': [70, 4], 'representative': 1172, 'size': 27}
  • id: 108386303
    {'aut_label': '9L1', 'centralizer': '27.k1', 'counter': 70, 'group_counter': 311, 'group_order': 1458, 'label': '9L-1', 'order': 9, 'powers': [69, 3], 'representative': 814, 'size': 27}
  • id: 108386304
    {'aut_label': '9M1', 'centralizer': '27.t1', 'counter': 71, 'group_counter': 311, 'group_order': 1458, 'label': '9M1', 'order': 9, 'powers': [72, 4], 'representative': 440, 'size': 27}
  • id: 108386305
    {'aut_label': '9M1', 'centralizer': '27.t1', 'counter': 72, 'group_counter': 311, 'group_order': 1458, 'label': '9M-1', 'order': 9, 'powers': [71, 3], 'representative': 706, 'size': 27}
  • id: 108386306
    {'aut_label': '9L1', 'centralizer': '27.k1', 'counter': 73, 'group_counter': 311, 'group_order': 1458, 'label': '9N1', 'order': 9, 'powers': [74, 4], 'representative': 782, 'size': 27}
  • id: 108386307
    {'aut_label': '9L1', 'centralizer': '27.k1', 'counter': 74, 'group_counter': 311, 'group_order': 1458, 'label': '9N-1', 'order': 9, 'powers': [73, 3], 'representative': 868, 'size': 27}
  • id: 108386308
    {'aut_label': '9M1', 'centralizer': '27.t1', 'counter': 75, 'group_counter': 311, 'group_order': 1458, 'label': '9O1', 'order': 9, 'powers': [76, 4], 'representative': 1400, 'size': 27}
  • id: 108386309
    {'aut_label': '9M1', 'centralizer': '27.t1', 'counter': 76, 'group_counter': 311, 'group_order': 1458, 'label': '9O-1', 'order': 9, 'powers': [75, 3], 'representative': 760, 'size': 27}
  • id: 108386310
    {'aut_label': '9P1', 'centralizer': '27.bc1', 'counter': 77, 'group_counter': 311, 'group_order': 1458, 'label': '9P1', 'order': 9, 'powers': [78, 3], 'representative': 716, 'size': 27}
  • id: 108386311
    {'aut_label': '9P1', 'centralizer': '27.bc1', 'counter': 78, 'group_counter': 311, 'group_order': 1458, 'label': '9P-1', 'order': 9, 'powers': [77, 4], 'representative': 1408, 'size': 27}
  • id: 108386312
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 79, 'group_counter': 311, 'group_order': 1458, 'label': '18A1', 'order': 18, 'powers': [43, 23], 'representative': 165, 'size': 9}
  • id: 108386314
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 80, 'group_counter': 311, 'group_order': 1458, 'label': '18A-1', 'order': 18, 'powers': [44, 24], 'representative': 327, 'size': 9}
  • id: 108386315
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 81, 'group_counter': 311, 'group_order': 1458, 'label': '18B1', 'order': 18, 'powers': [45, 23], 'representative': 219, 'size': 9}
  • id: 108386316
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 82, 'group_counter': 311, 'group_order': 1458, 'label': '18B-1', 'order': 18, 'powers': [46, 24], 'representative': 435, 'size': 9}
  • id: 108386317
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 83, 'group_counter': 311, 'group_order': 1458, 'label': '18C1', 'order': 18, 'powers': [47, 23], 'representative': 171, 'size': 9}
  • id: 108386318
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 84, 'group_counter': 311, 'group_order': 1458, 'label': '18C-1', 'order': 18, 'powers': [48, 24], 'representative': 339, 'size': 9}
  • id: 108386319
    {'aut_label': '18D1', 'centralizer': '9.r1', 'counter': 85, 'group_counter': 311, 'group_order': 1458, 'label': '18D1', 'order': 18, 'powers': [49, 24], 'representative': 381, 'size': 9}
  • id: 108386320
    {'aut_label': '18D1', 'centralizer': '9.r1', 'counter': 86, 'group_counter': 311, 'group_order': 1458, 'label': '18D-1', 'order': 18, 'powers': [50, 23], 'representative': 273, 'size': 9}
  • id: 108386321
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 87, 'group_counter': 311, 'group_order': 1458, 'label': '18E1', 'order': 18, 'powers': [51, 24], 'representative': 333, 'size': 9}
  • id: 108386322
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 88, 'group_counter': 311, 'group_order': 1458, 'label': '18E-1', 'order': 18, 'powers': [52, 23], 'representative': 177, 'size': 9}
  • id: 108386323
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 89, 'group_counter': 311, 'group_order': 1458, 'label': '18F1', 'order': 18, 'powers': [53, 23], 'representative': 237, 'size': 9}
  • id: 108386325
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 90, 'group_counter': 311, 'group_order': 1458, 'label': '18F-1', 'order': 18, 'powers': [54, 24], 'representative': 471, 'size': 9}
  • id: 108386326
    {'aut_label': '18D1', 'centralizer': '9.r1', 'counter': 91, 'group_counter': 311, 'group_order': 1458, 'label': '18G1', 'order': 18, 'powers': [55, 24], 'representative': 399, 'size': 9}
  • id: 108386327
    {'aut_label': '18D1', 'centralizer': '9.r1', 'counter': 92, 'group_counter': 311, 'group_order': 1458, 'label': '18G-1', 'order': 18, 'powers': [56, 23], 'representative': 279, 'size': 9}
  • id: 108386328
    {'aut_label': '18D1', 'centralizer': '9.r1', 'counter': 93, 'group_counter': 311, 'group_order': 1458, 'label': '18H1', 'order': 18, 'powers': [57, 23], 'representative': 291, 'size': 9}
  • id: 108386329
    {'aut_label': '18D1', 'centralizer': '9.r1', 'counter': 94, 'group_counter': 311, 'group_order': 1458, 'label': '18H-1', 'order': 18, 'powers': [58, 24], 'representative': 387, 'size': 9}
  • id: 108386330
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 95, 'group_counter': 311, 'group_order': 1458, 'label': '18I1', 'order': 18, 'powers': [59, 23], 'representative': 255, 'size': 9}
  • id: 108386331
    {'aut_label': '18A1', 'centralizer': '9.j1', 'counter': 96, 'group_counter': 311, 'group_order': 1458, 'label': '18I-1', 'order': 18, 'powers': [60, 24], 'representative': 453, 'size': 9}
  • id: 108386332
    {'aut_label': '18J1', 'centralizer': '9.e1', 'counter': 97, 'group_counter': 311, 'group_order': 1458, 'label': '18J1', 'order': 18, 'powers': [61, 23], 'representative': 163, 'size': 9}
  • id: 108386333
    {'aut_label': '18J1', 'centralizer': '9.e1', 'counter': 98, 'group_counter': 311, 'group_order': 1458, 'label': '18J-1', 'order': 18, 'powers': [62, 24], 'representative': 1301, 'size': 9}
  • id: 108386334
    {'aut_label': '18J1', 'centralizer': '9.e1', 'counter': 99, 'group_counter': 311, 'group_order': 1458, 'label': '18J5', 'order': 18, 'powers': [66, 24], 'representative': 815, 'size': 9}
  • id: 108386223
    {'aut_label': '18J1', 'centralizer': '9.e1', 'counter': 100, 'group_counter': 311, 'group_order': 1458, 'label': '18J-5', 'order': 18, 'powers': [65, 23], 'representative': 649, 'size': 9}
  • id: 108386224
    {'aut_label': '18J1', 'centralizer': '9.e1', 'counter': 101, 'group_counter': 311, 'group_order': 1458, 'label': '18J7', 'order': 18, 'powers': [64, 23], 'representative': 1135, 'size': 9}
  • id: 108386225
    {'aut_label': '18J1', 'centralizer': '9.e1', 'counter': 102, 'group_counter': 311, 'group_order': 1458, 'label': '18J-7', 'order': 18, 'powers': [63, 24], 'representative': 329, 'size': 9}
  • id: 108386226
    {'aut_label': '18K1', 'centralizer': '27.z1', 'counter': 103, 'group_counter': 311, 'group_order': 1458, 'label': '18K1', 'order': 18, 'powers': [67, 24], 'representative': 55, 'size': 27}
  • id: 108386227
    {'aut_label': '18K1', 'centralizer': '27.z1', 'counter': 104, 'group_counter': 311, 'group_order': 1458, 'label': '18K-1', 'order': 18, 'powers': [68, 23], 'representative': 113, 'size': 27}
  • id: 108386228
    {'aut_label': '18L1', 'centralizer': '27.k1', 'counter': 105, 'group_counter': 311, 'group_order': 1458, 'label': '18L1', 'order': 18, 'powers': [69, 24], 'representative': 325, 'size': 27}
  • id: 108386229
    {'aut_label': '18L1', 'centralizer': '27.k1', 'counter': 106, 'group_counter': 311, 'group_order': 1458, 'label': '18L-1', 'order': 18, 'powers': [70, 23], 'representative': 167, 'size': 27}
  • id: 108386230
    {'aut_label': '18M1', 'centralizer': '27.t1', 'counter': 107, 'group_counter': 311, 'group_order': 1458, 'label': '18M1', 'order': 18, 'powers': [71, 24], 'representative': 217, 'size': 27}
  • id: 108386231
    {'aut_label': '18M1', 'centralizer': '27.t1', 'counter': 108, 'group_counter': 311, 'group_order': 1458, 'label': '18M-1', 'order': 18, 'powers': [72, 23], 'representative': 437, 'size': 27}
  • id: 108386232
    {'aut_label': '18L1', 'centralizer': '27.k1', 'counter': 109, 'group_counter': 311, 'group_order': 1458, 'label': '18N1', 'order': 18, 'powers': [73, 24], 'representative': 379, 'size': 27}
  • id: 108386234
    {'aut_label': '18L1', 'centralizer': '27.k1', 'counter': 110, 'group_counter': 311, 'group_order': 1458, 'label': '18N-1', 'order': 18, 'powers': [74, 23], 'representative': 275, 'size': 27}
  • id: 108386235
    {'aut_label': '18M1', 'centralizer': '27.t1', 'counter': 111, 'group_counter': 311, 'group_order': 1458, 'label': '18O1', 'order': 18, 'powers': [75, 24], 'representative': 271, 'size': 27}
  • id: 108386236
    {'aut_label': '18M1', 'centralizer': '27.t1', 'counter': 112, 'group_counter': 311, 'group_order': 1458, 'label': '18O-1', 'order': 18, 'powers': [76, 23], 'representative': 383, 'size': 27}
  • id: 108386237
    {'aut_label': '18P1', 'centralizer': '27.bc1', 'counter': 113, 'group_counter': 311, 'group_order': 1458, 'label': '18P1', 'order': 18, 'powers': [77, 23], 'representative': 433, 'size': 27}
  • id: 108386238
    {'aut_label': '18P1', 'centralizer': '27.bc1', 'counter': 114, 'group_counter': 311, 'group_order': 1458, 'label': '18P-1', 'order': 18, 'powers': [78, 24], 'representative': 221, 'size': 27}
• 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: 3853120
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1a', '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], 'schur_index': 1}
  • id: 3853131
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1b', '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], 'schur_index': 1}
  • id: 3853142
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 3853153
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1d', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, 2, -1, -1, 2, 2, 2, -1, -1], 'schur_index': 1}
  • id: 3853164
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3853170
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1f', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1], 'schur_index': 1}
  • id: 3853171
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1g', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2], 'schur_index': 1}
  • id: 3853172
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1h', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3853173
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3853121
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1j', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3853122
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1k', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2], 'schur_index': 1}
  • id: 3853123
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1l', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2], 'schur_index': 1}
  • id: 3853124
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1m', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1], 'schur_index': 1}
  • id: 3853125
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1n', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, 2, 2, 2, -1, 2, 2, -1, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3853126
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1o', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3853127
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 1, -2, -2, -2, 1, -2, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 3853128
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, 2, -1, 2, -1, -1, -1, 2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, -2, -2, -2, 1, 1, -2, -2, -2, 1, 1], 'schur_index': 1}
  • id: 3853129
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, -1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, -2, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3853130
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1], 'schur_index': 1}
  • id: 3853132
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, -2], 'schur_index': 1}
  • id: 3853133
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1u', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, -2, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3853134
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3853135
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -1, -1, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -2, -2, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3853136
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2], 'schur_index': 1}
  • id: 3853137
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, -2], 'schur_index': 1}
  • id: 3853138
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, 1, -2, -2, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1], 'schur_index': 1}
  • id: 3853139
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 2, 2, 2, 2, -1, 2, 2, 2, 2, -1, 2, 2, -1, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, 1, 1, 1, -2, -2, 1, -2, -2, -2, -2, -2, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3853140
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3853141
    {'cdim': 3, 'counter': 29, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3a', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853143
    {'cdim': 3, 'counter': 30, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3b', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, -3, 0, 6, 0, 0, 0, 0, 0, 6, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853144
    {'cdim': 3, 'counter': 31, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3c', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 6, 0, -3, 0, 0, 0, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853145
    {'cdim': 3, 'counter': 32, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3d', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, -3, -3, -3, 6, 6, -3, 0, 0, 0, 0, 6, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, -3, -3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3853146
    {'cdim': 3, 'counter': 33, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3e', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 6, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853147
    {'cdim': 3, 'counter': 34, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3f', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 6, 6, 6, -3, -3, -3, -3, 6, -3, -3, 6, -3, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853148
    {'cdim': 3, 'counter': 35, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3g', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, -3, 0, 0, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853149
    {'cdim': 3, 'counter': 36, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3h', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -3, 6, 0, 0, -3, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853150
    {'cdim': 3, 'counter': 37, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3i', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, -3, 0, 0, -3, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853151
    {'cdim': 3, 'counter': 38, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3j', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853152
    {'cdim': 3, 'counter': 39, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3k', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853154
    {'cdim': 3, 'counter': 40, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3l', 'multiplicity': 2, 'nt': [9, 7], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853155
    {'cdim': 3, 'counter': 41, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3m', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, -6, 3, 3, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853156
    {'cdim': 3, 'counter': 42, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3n', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, -6, 3, 3, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, -6, 0, 0, 0, 0, 0, -6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853157
    {'cdim': 3, 'counter': 43, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3o', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, -6, 3, 3, 3, 3, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, -6, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853158
    {'cdim': 3, 'counter': 44, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3p', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, -3, -3, -3, 6, 6, -3, 0, 0, 0, 0, -6, -6, -6, 3, 3, 3, 3, -6, 3, 3, 3, 3, 3, 3, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3853159
    {'cdim': 3, 'counter': 45, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3q', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, -3, 6, 6, -3, -3, -3, 0, 0, 0, 0, -6, -6, -6, 3, 3, 3, 3, -6, 3, 3, 3, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853160
    {'cdim': 3, 'counter': 46, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3r', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 6, 6, -3, -3, -3, -3, 6, 0, 0, 0, 0, -6, -6, -6, 3, 3, 3, 3, -6, 3, 3, -6, 3, 3, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853161
    {'cdim': 3, 'counter': 47, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3s', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, -6, 3, 3, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -6, 3, 0, 0, -6, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853162
    {'cdim': 3, 'counter': 48, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3t', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, -6, 3, 3, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 3, -6, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853163
    {'cdim': 3, 'counter': 49, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3u', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, -3, 6, -3, -3, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, -6, 3, 3, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853165
    {'cdim': 3, 'counter': 50, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3v', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, 3, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853166
    {'cdim': 3, 'counter': 51, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3w', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, 3, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, -6, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853167
    {'cdim': 3, 'counter': 52, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.3x', 'multiplicity': 2, 'nt': [18, 15], 'qdim': 6, 'qvalues': [6, -6, 6, 6, 6, -3, -3, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, 3, -6, -6, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3853168
    {'cdim': 9, 'counter': 53, 'faithful': False, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.9a', 'multiplicity': 6, 'nt': [81, 0], 'qdim': 54, 'qvalues': [54, 54, -27, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -27, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3853169
    {'cdim': 9, 'counter': 54, 'faithful': True, 'group': '1458.311', 'group_order': 1458, 'image': None, 'label': '1458.311.9b', 'multiplicity': 6, 'nt': [162, 0], 'qdim': 54, 'qvalues': [54, -54, -27, -27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 5293918
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1458, 'label': '1458.311.1a', '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]]]}
  • id: 5293979
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 51, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 243, 'label': '1458.311.1aa1', 'nt': [6, 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, -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, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293980
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 52, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 243, 'label': '1458.311.1aa2', 'nt': [6, 2], '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, 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, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293981
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 53, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 243, 'label': '1458.311.1ab1', 'nt': [6, 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, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293982
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 54, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 243, 'label': '1458.311.1ab2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293944
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 729, 'label': '1458.311.1b', '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]]]}
  • id: 5293955
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.i1', 'kernel_order': 486, 'label': '1458.311.1c1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]]]}
  • id: 5293966
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 4, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.i1', 'kernel_order': 486, 'label': '1458.311.1c2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]]]}
  • id: 5293977
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.h1', 'kernel_order': 486, 'label': '1458.311.1d1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]]]}
  • id: 5293988
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.h1', 'kernel_order': 486, 'label': '1458.311.1d2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]]]}
  • id: 5293999
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 7, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.h1', 'kernel_order': 486, 'label': '1458.311.1e1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5294010
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 8, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.h1', 'kernel_order': 486, 'label': '1458.311.1e2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5294021
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 9, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.g1', 'kernel_order': 486, 'label': '1458.311.1f1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]]]}
  • id: 5293919
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.g1', 'kernel_order': 486, 'label': '1458.311.1f2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]]]}
  • id: 5293930
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.f1', 'kernel_order': 486, 'label': '1458.311.1g1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]]]}
  • id: 5293936
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.f1', 'kernel_order': 486, 'label': '1458.311.1g2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]]]}
  • id: 5293937
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.e1', 'kernel_order': 486, 'label': '1458.311.1h1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5293938
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.e1', 'kernel_order': 486, 'label': '1458.311.1h2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5293939
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.g1', 'kernel_order': 486, 'label': '1458.311.1i1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 5293940
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.g1', 'kernel_order': 486, 'label': '1458.311.1i2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 5293941
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.e1', 'kernel_order': 486, 'label': '1458.311.1j1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 5293942
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.e1', 'kernel_order': 486, 'label': '1458.311.1j2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 5293943
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.f1', 'kernel_order': 486, 'label': '1458.311.1k1', 'nt': [3, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5293945
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.f1', 'kernel_order': 486, 'label': '1458.311.1k2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5293946
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.d1', 'kernel_order': 486, 'label': '1458.311.1l1', 'nt': [3, 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, -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, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]]]}
  • id: 5293947
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.d1', 'kernel_order': 486, 'label': '1458.311.1l2', 'nt': [3, 2], '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, 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, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]]]}
  • id: 5293948
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 486, 'label': '1458.311.1m1', 'nt': [3, 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, -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, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]]]}
  • id: 5293949
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.c1', 'kernel_order': 486, 'label': '1458.311.1m2', 'nt': [3, 2], '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, 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, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]]]}
  • id: 5293950
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 25, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 486, 'label': '1458.311.1n1', 'nt': [3, 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, -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, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5293951
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 26, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.b1', 'kernel_order': 486, 'label': '1458.311.1n2', 'nt': [3, 2], '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, 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, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5293952
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 27, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 486, 'label': '1458.311.1o1', 'nt': [3, 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, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 5293953
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 28, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 486, 'label': '1458.311.1o2', 'nt': [3, 2], '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, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 5293954
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 29, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.i1', 'kernel_order': 243, 'label': '1458.311.1p1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293956
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 30, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.i1', 'kernel_order': 243, 'label': '1458.311.1p2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293957
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 31, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.h1', 'kernel_order': 243, 'label': '1458.311.1q1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293958
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 32, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.h1', 'kernel_order': 243, 'label': '1458.311.1q2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293959
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 33, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.h1', 'kernel_order': 243, 'label': '1458.311.1r1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293960
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 34, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.h1', 'kernel_order': 243, 'label': '1458.311.1r2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293961
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 35, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.g1', 'kernel_order': 243, 'label': '1458.311.1s1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293962
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 36, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.g1', 'kernel_order': 243, 'label': '1458.311.1s2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293963
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 37, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1', 'kernel_order': 243, 'label': '1458.311.1t1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293964
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 38, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1', 'kernel_order': 243, 'label': '1458.311.1t2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293965
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 39, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 243, 'label': '1458.311.1u1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293967
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 40, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 243, 'label': '1458.311.1u2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293968
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 41, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.g1', 'kernel_order': 243, 'label': '1458.311.1v1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293969
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 42, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.g1', 'kernel_order': 243, 'label': '1458.311.1v2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293970
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 43, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 243, 'label': '1458.311.1w1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293971
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 44, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.e1', 'kernel_order': 243, 'label': '1458.311.1w2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293972
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 45, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1', 'kernel_order': 243, 'label': '1458.311.1x1', 'nt': [6, 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, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293973
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 46, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.f1', 'kernel_order': 243, 'label': '1458.311.1x2', 'nt': [6, 2], '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, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293974
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 47, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 243, 'label': '1458.311.1y1', 'nt': [6, 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, -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, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293975
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 48, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 243, 'label': '1458.311.1y2', 'nt': [6, 2], '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, 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, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]]]}
  • id: 5293976
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 49, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 243, 'label': '1458.311.1z1', 'nt': [6, 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, -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, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]]]}
  • id: 5293978
    {'center': '1.a1', 'center_index': 1, 'center_order': 1458, 'counter': 50, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 243, 'label': '1458.311.1z2', 'nt': [6, 2], '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, 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, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]]]}
  • id: 5293983
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 55, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.a1', 'kernel_order': 54, 'label': '1458.311.3a1', 'nt': [9, 7], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 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]], [[3, -1]], [[3, 1]], [[0, 0]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -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]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293984
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 56, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.a1', 'kernel_order': 54, 'label': '1458.311.3a2', 'nt': [9, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -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]], [[3, 1]], [[3, -1]], [[0, 0]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 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]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293985
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  • id: 5293986
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  • id: 5293987
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  • id: 5293989
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  • id: 5293990
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  • id: 5293991
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  • id: 5293992
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  • id: 5293993
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  • id: 5293994
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  • id: 5293995
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  • id: 5293996
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  • id: 5293997
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  • id: 5293998
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  • id: 5294000
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  • id: 5294001
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  • id: 5294002
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  • id: 5294003
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  • id: 5294004
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  • id: 5294005
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  • id: 5294006
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 76, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 54, 'label': '1458.311.3k2', 'nt': [9, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -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]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -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]]]}
  • id: 5294007
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 77, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 54, 'label': '1458.311.3l1', 'nt': [9, 7], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 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]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -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]], [[3, 1]], [[0, 0]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5294008
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 78, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '27.3', 'image_order': 27, 'indicator': 0, 'kernel': '27.c1', 'kernel_order': 54, 'label': '1458.311.3l2', 'nt': [9, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -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]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 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]], [[3, -1]], [[0, 0]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5294009
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 79, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3m1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, 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]], [[3, -1]], [[3, 1]], [[0, 0]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -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]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5294011
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 80, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3m2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, -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]], [[3, 1]], [[3, -1]], [[0, 0]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 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]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5294012
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 81, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3n1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, 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]], [[3, 1]], [[3, 0]], [[0, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, 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]]]}
  • id: 5294013
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 82, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3n2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, -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]], [[3, -1]], [[3, 0]], [[0, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, -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]]]}
  • id: 5294014
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 83, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3o1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, 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]], [[3, 0]], [[3, -1]], [[0, 0]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 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]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, -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]]]}
  • id: 5294015
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  • id: 5294016
    {'center': '9.a1', 'center_index': 9, 'center_order': 162, 'counter': 85, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.d1', 'kernel_order': 27, 'label': '1458.311.3p1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5294017
    {'center': '9.a1', 'center_index': 9, 'center_order': 162, 'counter': 86, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.d1', 'kernel_order': 27, 'label': '1458.311.3p2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5294018
    {'center': '9.a1', 'center_index': 9, 'center_order': 162, 'counter': 87, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.d1', 'kernel_order': 27, 'label': '1458.311.3q1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5294019
    {'center': '9.a1', 'center_index': 9, 'center_order': 162, 'counter': 88, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.d1', 'kernel_order': 27, 'label': '1458.311.3q2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5294020
    {'center': '9.a1', 'center_index': 9, 'center_order': 162, 'counter': 89, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.d1', 'kernel_order': 27, 'label': '1458.311.3r1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, -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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5294022
    {'center': '9.a1', 'center_index': 9, 'center_order': 162, 'counter': 90, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.d1', 'kernel_order': 27, 'label': '1458.311.3r2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, -1]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5294023
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 91, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3s1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, -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]]]}
  • id: 5294024
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 92, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3s2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 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]]]}
  • id: 5294025
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 93, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3t1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 1]], [[3, -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]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 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]]]}
  • id: 5294026
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 94, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3t2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -1]], [[3, 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]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, -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]]]}
  • id: 5294027
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 95, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3u1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -1]], [[3, 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]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5294028
    {'center': '9.c1', 'center_index': 9, 'center_order': 162, 'counter': 96, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.a1', 'kernel_order': 27, 'label': '1458.311.3u2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 1]], [[3, -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]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5294029
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 97, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 27, 'label': '1458.311.3v1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 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]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 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]], [[-3, 0]], [[0, 0]], [[-3, 1]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, -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]]]}
  • id: 5294030
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 98, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 27, 'label': '1458.311.3v2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -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]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, -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]], [[-3, 0]], [[0, 0]], [[-3, -1]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 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]]]}
  • id: 5294031
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 99, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 27, 'label': '1458.311.3w1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 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]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[-3, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 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]]]}
  • id: 5293920
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 100, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 27, 'label': '1458.311.3w2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -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]], [[3, -1]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[-3, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, -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]]]}
  • id: 5293921
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 101, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 27, 'label': '1458.311.3x1', 'nt': [18, 15], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 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]], [[3, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, -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]], [[-3, 1]], [[0, 0]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293922
    {'center': '9.d1', 'center_index': 9, 'center_order': 162, 'counter': 102, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '54.10', 'image_order': 54, 'indicator': 0, 'kernel': '54.c1', 'kernel_order': 27, 'label': '1458.311.3x2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -1]], [[-3, -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]], [[3, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 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]], [[-3, -1]], [[0, 0]], [[-3, 1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293923
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 103, 'cyclotomic_n': 9, 'dim': 9, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '729.311', 'image_order': 729, 'indicator': 0, 'kernel': '729.a1', 'kernel_order': 2, 'label': '1458.311.9a1', 'nt': [81, 0], 'q_character': None, 'values': [[[9, 0]], [[9, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 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]], [[3, -2]], [[3, -4]], [[3, 2]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -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]]]}
  • id: 5293924
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 104, 'cyclotomic_n': 9, 'dim': 9, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '729.311', 'image_order': 729, 'indicator': 0, 'kernel': '729.a1', 'kernel_order': 2, 'label': '1458.311.9a2', 'nt': [81, 6], 'q_character': None, 'values': [[[9, 0]], [[9, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, -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]], [[3, 2]], [[3, 4]], [[3, -2]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 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]]]}
  • id: 5293925
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 105, 'cyclotomic_n': 9, 'dim': 9, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '729.311', 'image_order': 729, 'indicator': 0, 'kernel': '729.a1', 'kernel_order': 2, 'label': '1458.311.9a3', 'nt': [81, 0], 'q_character': None, 'values': [[[9, 0]], [[9, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, 2]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293926
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 106, 'cyclotomic_n': 9, 'dim': 9, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '729.311', 'image_order': 729, 'indicator': 0, 'kernel': '729.a1', 'kernel_order': 2, 'label': '1458.311.9a4', 'nt': [81, 6], 'q_character': None, 'values': [[[9, 0]], [[9, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, -2]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293927
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 107, 'cyclotomic_n': 9, 'dim': 9, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '729.311', 'image_order': 729, 'indicator': 0, 'kernel': '729.a1', 'kernel_order': 2, 'label': '1458.311.9a5', 'nt': [81, 0], 'q_character': None, 'values': [[[9, 0]], [[9, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[3, -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]], [[3, 4]], [[3, -1]], [[3, -4]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 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]]]}
  • id: 5293928
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 108, 'cyclotomic_n': 9, 'dim': 9, 'faithful': False, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '729.311', 'image_order': 729, 'indicator': 0, 'kernel': '729.a1', 'kernel_order': 2, 'label': '1458.311.9a6', 'nt': [81, 6], 'q_character': None, 'values': [[[9, 0]], [[9, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[3, 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]], [[3, -4]], [[3, 1]], [[3, 4]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -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]]]}
  • id: 5293929
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 109, 'cyclotomic_n': 9, 'dim': 9, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1458.311', 'image_order': 1458, 'indicator': 0, 'kernel': '1458.a1', 'kernel_order': 1, 'label': '1458.311.9b1', 'nt': [162, 0], 'q_character': None, 'values': [[[9, 0]], [[-9, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 3]], [[-9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[3, 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]], [[-3, -2]], [[-3, -4]], [[-3, 2]], [[0, 0]], [[0, 0]], [[-3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -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]]]}
  • id: 5293931
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 110, 'cyclotomic_n': 9, 'dim': 9, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1458.311', 'image_order': 1458, 'indicator': 0, 'kernel': '1458.a1', 'kernel_order': 1, 'label': '1458.311.9b2', 'nt': [162, 6], 'q_character': None, 'values': [[[9, 0]], [[-9, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, -3]], [[-9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[3, -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]], [[-3, 2]], [[-3, 4]], [[-3, -2]], [[0, 0]], [[0, 0]], [[-3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 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]]]}
  • id: 5293932
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 111, 'cyclotomic_n': 9, 'dim': 9, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1458.311', 'image_order': 1458, 'indicator': 0, 'kernel': '1458.a1', 'kernel_order': 1, 'label': '1458.311.9b3', 'nt': [162, 0], 'q_character': None, 'values': [[[9, 0]], [[-9, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 3]], [[-9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[3, -4]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, 2]], [[-3, -1]], [[0, 0]], [[0, 0]], [[-3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293933
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 112, 'cyclotomic_n': 9, 'dim': 9, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1458.311', 'image_order': 1458, 'indicator': 0, 'kernel': '1458.a1', 'kernel_order': 1, 'label': '1458.311.9b4', 'nt': [162, 6], 'q_character': None, 'values': [[[9, 0]], [[-9, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, -3]], [[-9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[0, 0]], [[3, 4]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, -2]], [[-3, 1]], [[0, 0]], [[0, 0]], [[-3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5293934
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 113, 'cyclotomic_n': 9, 'dim': 9, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1458.311', 'image_order': 1458, 'indicator': 0, 'kernel': '1458.a1', 'kernel_order': 1, 'label': '1458.311.9b5', 'nt': [162, 0], 'q_character': None, 'values': [[[9, 0]], [[-9, 0]], [[9, -3]], [[9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 3]], [[-9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[3, 2]], [[0, 0]], [[3, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -4]], [[3, -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]], [[-3, 4]], [[-3, -1]], [[-3, -4]], [[0, 0]], [[0, 0]], [[-3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 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]]]}
  • id: 5293935
    {'center': '243.a1', 'center_index': 243, 'center_order': 6, 'counter': 114, 'cyclotomic_n': 9, 'dim': 9, 'faithful': True, 'field': [1, 0, 0, -1, 0, 0, 1], 'group': '1458.311', 'group_counter': 311, 'group_order': 1458, 'image': None, 'image_isoclass': '1458.311', 'image_order': 1458, 'indicator': 0, 'kernel': '1458.a1', 'kernel_order': 1, 'label': '1458.311.9b6', 'nt': [162, 6], 'q_character': None, 'values': [[[9, 0]], [[-9, 0]], [[9, 3]], [[9, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, -3]], [[-9, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -1]], [[0, 0]], [[0, 0]], [[3, -2]], [[0, 0]], [[3, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 4]], [[3, 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]], [[-3, -4]], [[-3, 1]], [[-3, 4]], [[0, 0]], [[0, 0]], [[-3, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, -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]]]}
• 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: 60559545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 1458, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1458.311.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1458.311', 'subgroup_hash': 311, 'subgroup_order': 1458, 'subgroup_tex': 'C_2\\times C_3^3.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': True, 'centralizer_order': 6, 'characteristic': True, 'core_order': 729, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 3, 'label': '1458.311.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '729.311', 'subgroup_hash': 311, 'subgroup_order': 729, 'subgroup_tex': 'C_3^3.C_3^3', 'supersolvable': True, 'sylow': 3}
  • id: 60559640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 486, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '486.217', 'subgroup_hash': 217, 'subgroup_order': 486, 'subgroup_tex': '(C_3\\times C_{18}):C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 486, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.255', 'subgroup_hash': 255, 'subgroup_order': 486, 'subgroup_tex': 'C_{18}.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 486, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.211', 'subgroup_hash': 211, 'subgroup_order': 486, 'subgroup_tex': '(C_3\\times C_{18}):C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 486, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.216', 'subgroup_hash': 216, 'subgroup_order': 486, 'subgroup_tex': '(C_3\\times C_{18}):C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 486, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.199', 'subgroup_hash': 199, 'subgroup_order': 486, 'subgroup_tex': '(C_3^2\\times C_{18}):C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 486, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.216', 'subgroup_hash': 216, 'subgroup_order': 486, 'subgroup_tex': '(C_3\\times C_{18}):C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 486, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.216', 'subgroup_hash': 216, 'subgroup_order': 486, 'subgroup_tex': '(C_3\\times C_{18}):C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 486, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.h1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.218', 'subgroup_hash': 218, 'subgroup_order': 486, 'subgroup_tex': 'C_2\\times C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 486, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.3.i1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '486.213', 'subgroup_hash': 213, 'subgroup_order': 486, 'subgroup_tex': 'C_3\\times C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 243, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '243.58', 'subgroup_hash': 58, 'subgroup_order': 243, 'subgroup_tex': '\\He_3:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 243, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.66', 'subgroup_hash': 66, 'subgroup_order': 243, 'subgroup_tex': 'C_9.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 243, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.52', 'subgroup_hash': 52, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 243, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.57', 'subgroup_hash': 57, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 243, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.40', 'subgroup_hash': 40, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 243, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.57', 'subgroup_hash': 57, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 243, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.57', 'subgroup_hash': 57, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 243, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.59', 'subgroup_hash': 59, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 243, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.6.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '243.54', 'subgroup_hash': 54, 'subgroup_order': 243, 'subgroup_tex': 'C_3^2.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 162, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.48', 'subgroup_hash': 48, 'subgroup_order': 162, 'subgroup_tex': 'C_6\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 162, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.48', 'subgroup_hash': 48, 'subgroup_order': 162, 'subgroup_tex': 'C_6\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 162, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 162, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559635
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 162, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.47', 'subgroup_hash': 47, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 162, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 162, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 162, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 162, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.9.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '9.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.50', 'subgroup_hash': 50, 'subgroup_order': 162, 'subgroup_tex': 'C_6.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.24', 'subgroup_hash': 24, 'subgroup_order': 162, 'subgroup_tex': 'C_3^2:C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.29', 'subgroup_hash': 29, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.31', 'subgroup_hash': 31, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.49', 'subgroup_hash': 49, 'subgroup_order': 162, 'subgroup_tex': 'C_{18}:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.29', 'subgroup_hash': 29, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.31', 'subgroup_hash': 31, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.30', 'subgroup_hash': 30, 'subgroup_order': 162, 'subgroup_tex': '\\He_3:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.50', 'subgroup_hash': 50, 'subgroup_order': 162, 'subgroup_tex': 'C_6.C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 54, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.29', 'subgroup_hash': 29, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.9.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.29', 'subgroup_hash': 29, 'subgroup_order': 162, 'subgroup_tex': 'C_6.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 81, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.12', 'subgroup_hash': 12, 'subgroup_order': 81, 'subgroup_tex': 'C_3\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 81, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.12', 'subgroup_hash': 12, 'subgroup_order': 81, 'subgroup_tex': 'C_3\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 81, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 81, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559657
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 81, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.11', 'subgroup_hash': 11, 'subgroup_order': 81, 'subgroup_tex': 'C_3^2\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 81, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 81, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 81, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': True, 'core_order': 81, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.18.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.14', 'subgroup_hash': 14, 'subgroup_order': 81, 'subgroup_tex': 'C_9.C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.3', 'subgroup_hash': 3, 'subgroup_order': 81, 'subgroup_tex': 'C_3^2:C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 27, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.8', 'subgroup_hash': 8, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 27, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.10', 'subgroup_hash': 10, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.13', 'subgroup_hash': 13, 'subgroup_order': 81, 'subgroup_tex': 'C_9:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 27, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.8', 'subgroup_hash': 8, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.10', 'subgroup_hash': 10, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 27, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.9', 'subgroup_hash': 9, 'subgroup_order': 81, 'subgroup_tex': '\\He_3:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.14', 'subgroup_hash': 14, 'subgroup_order': 81, 'subgroup_tex': 'C_9.C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 27, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.8', 'subgroup_hash': 8, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 27, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.18.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.8', 'subgroup_hash': 8, 'subgroup_order': 81, 'subgroup_tex': 'C_3.\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559675
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 54, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559676
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 54, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.27.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^3', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 54, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.27.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 54, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.27.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '27.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '27.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.10', 'subgroup_hash': 10, 'subgroup_order': 54, 'subgroup_tex': 'C_2\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.10', 'subgroup_hash': 10, 'subgroup_order': 54, 'subgroup_tex': 'C_2\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559680
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.10', 'subgroup_hash': 10, 'subgroup_order': 54, 'subgroup_tex': 'C_2\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559685
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559687
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.l2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.l2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.10', 'subgroup_hash': 10, 'subgroup_order': 54, 'subgroup_tex': 'C_2\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559696
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.10', 'subgroup_hash': 10, 'subgroup_order': 54, 'subgroup_tex': 'C_2\\times \\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559704
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559705
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 18, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 18, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559710
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.9', 'subgroup_hash': 9, 'subgroup_order': 54, 'subgroup_tex': 'C_3\\times C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.27.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.11', 'subgroup_hash': 11, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559712
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 27, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559713
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': True, 'core_order': 27, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.54.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 27, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.54.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 27, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.54.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': 3, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': 3, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559547
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': 3, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559551
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559553
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.l2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.l2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559559
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 60559560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': 3, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559562
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.3', 'subgroup_hash': 3, 'subgroup_order': 27, 'subgroup_tex': '\\He_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559570
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559571
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559572
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 18, 'characteristic': False, 'core_order': 9, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559575
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 9, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559576
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.2', 'subgroup_hash': 2, 'subgroup_order': 27, 'subgroup_tex': 'C_3\\times C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.54.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 18, 'counter': 129, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.81.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '81.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '81.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 81, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559580
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 18, 'counter': 130, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.81.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '81.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '81.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 81, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559581
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 18, 'counter': 131, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.81.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '81.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '81.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 81, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559582
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.81.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559583
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.81.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559584
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 134, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559585
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 135, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559586
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 136, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559587
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559588
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 138, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559589
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 139, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559591
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 6, 'counter': 140, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.81.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.2', 'subgroup_hash': 2, 'subgroup_order': 18, 'subgroup_tex': 'C_{18}', 'supersolvable': True, 'sylow': 0}
  • id: 60559592
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 2, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.81.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559593
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.81.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559594
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 2, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.81.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559595
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 9, 'counter': 144, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.162.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '162.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '162.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 9, 'counter': 145, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.162.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '162.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '162.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559597
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': True, 'core_order': 9, 'counter': 146, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1458.311.162.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '162.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '162.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559598
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.162.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559599
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.162.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559600
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 149, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559602
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559603
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559604
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 152, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559605
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 153, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559606
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 154, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559607
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 3, 'counter': 155, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.162.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 60559608
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.162.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559609
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.162.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559610
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1458.311.162.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 60559611
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': True, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': True, 'core_order': 6, 'counter': 159, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1458.311.243.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '243.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '243.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 243, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^4:C_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559613
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.243.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '243.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559614
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.243.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '243.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559615
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.243.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '243.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559616
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.243.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '243.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559617
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 2, 'counter': 164, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.243.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '243.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 243, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 60559618
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': True, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': True, 'core_order': 3, 'counter': 165, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1458.311.486.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '486.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '486.196', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 486, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^4:C_6', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C6'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559619
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.486.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '486.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 486, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559620
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.486.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '486.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 486, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559621
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 486, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.486.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '486.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 486, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559622
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.486.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '486.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 486, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559624
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1458.311.486.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '486.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 486, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 60559625
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': True, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': True, 'core_order': 2, 'counter': 171, 'cyclic': True, 'direct': True, 'hall': 2, 'label': '1458.311.729.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '729.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '729.311', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 311, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 729, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^3.C_3^3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 2}
  • id: 60559626
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1458.311', 'ambient_counter': 311, 'ambient_order': 1458, 'ambient_tex': 'C_2\\times C_3^3.C_3^3', 'central': True, 'central_factor': False, 'centralizer_order': 1458, 'characteristic': True, 'core_order': 1, 'counter': 172, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1458.311.1458.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1458.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1458.311', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 311, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1458, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_3^3.C_3^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'L3', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 60559545
    {'ambient': '1458.311', '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': '243.a1', 'complements': ['1458.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '3.a1', '3.b1', '3.c1', '3.d1', '3.e1', '3.f1', '3.g1', '3.h1', '3.i1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6163, 4644, 5216, 6242], 'generators': [3, 990, 528, 2, 486, 54, 162], 'label': '1458.311.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '3.a1', '3.b1', '3.c1', '3.d1', '3.e1', '3.f1', '3.g1', '3.h1', '3.i1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559546
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '3.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '243.a1', 'complements': ['486.e1', '486.f1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['6.h1', '9.c1', '9.f1', '9.g1', '9.h1', '9.m1'], 'core': '3.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [7398, 3007, 4293, 4935], 'generators': [3, 486, 18, 110, 1014, 162], 'label': '1458.311.3.h1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.h1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.h1', '9.c1', '9.f1', '9.g1', '9.h1'], 'normalizer': '1.a1', 'old_label': '3.h1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.h1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559547
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '18.k1', '27.f1'], 'contains': ['162.a1', '162.e1', '162.m1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9826, -1, 2143, -1], 'generators': [2, 990, 486], 'label': '1458.311.54.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '54.f1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.f1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559548
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.f2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '18.l1', '27.f2'], 'contains': ['162.a1', '162.e1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9230, -1, 2392, -1], 'generators': [2, 492], 'label': '1458.311.54.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '54.f2', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.f2', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559549
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.c1', '18.j1', '27.g1'], 'contains': ['162.a1', '162.f1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6048, -1, 6783, -1], 'generators': [492, 162], 'label': '1458.311.54.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.g1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.g1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559550
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.d1', '18.j1', '27.h1'], 'contains': ['162.a1', '162.g1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5650, -1, 8240, -1], 'generators': [492, 864], 'label': '1458.311.54.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.h1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.h1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559551
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '54.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.e1', '18.k1', '27.i1'], 'contains': ['162.a1', '162.h1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7915, -1, 3465, -1], 'generators': [326, 492], 'label': '1458.311.54.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '54.i1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.i1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559552
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.f1', '18.m1', '27.j1'], 'contains': ['162.a1', '162.i1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6864, -1, 3756, -1], 'generators': [110, 492], 'label': '1458.311.54.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '54.j1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.j1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559553
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.g1', '18.k1', '27.k1'], 'contains': ['162.a1', '162.j1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9520, -1, 2886, -1], 'generators': [164, 990], 'label': '1458.311.54.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '54.k1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.k1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559554
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.k2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.g1', '18.m1', '27.k2'], 'contains': ['162.a1', '162.j1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8959, -1, 3019, -1], 'generators': [164, 492], 'label': '1458.311.54.k2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '54.k2', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.k2', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559555
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.h1', '18.l1', '27.l1'], 'contains': ['162.a1', '162.k1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8139, -1, 2487, -1], 'generators': [380, 990], 'label': '1458.311.54.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '54.l1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.l1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559556
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.l2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.h1', '18.m1', '27.l2'], 'contains': ['162.a1', '162.k1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8684, -1, 3229, -1], 'generators': [380, 492], 'label': '1458.311.54.l2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '54.l2', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.l2', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559557
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '3.i1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '81.c1', 'complements': ['486.e1', '486.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.i1', '9.d1', '9.e1', '9.f1', '9.i1', '9.p1'], 'core': '3.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5457, 1235, 5321, 7424], 'generators': [3, 486, 24, 110, 990, 864], 'label': '1458.311.3.i1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.i1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.i1', '9.d1', '9.e1', '9.f1', '9.i1'], 'normalizer': '1.a1', 'old_label': '3.i1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.i1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559558
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.i1', '18.l1', '27.m1'], 'contains': ['162.a1', '162.l1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6306, -1, 2595, -1], 'generators': [218, 492], 'label': '1458.311.54.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '54.m1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.m1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559559
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.17', 'aut_weyl_index': 243, 'centralizer': '27.n1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.n1', '27.n1'], 'contains': ['162.b1', '162.d1', '162.o1'], 'core': '162.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [797, -1, 8952, -1], 'generators': [24, 54, 486], 'label': '1458.311.54.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.n1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.n1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559560
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '18.o1', '27.o1'], 'contains': ['162.b1', '162.e1'], 'core': '162.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5557, -1, 3852, -1], 'generators': [2, 24], 'label': '1458.311.54.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '54.o1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.o1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559561
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.c1', '18.n1', '27.p1'], 'contains': ['162.b1', '162.f1'], 'core': '162.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3445, -1, 6890, -1], 'generators': [24, 162], 'label': '1458.311.54.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.p1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.p1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559562
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '54.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '18.p1', '27.q1'], 'contains': ['162.b1', '162.h1'], 'core': '162.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4165, -1, 5112, -1], 'generators': [326, 24], 'label': '1458.311.54.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '54.q1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.q1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559563
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '54.r1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.f1', '18.p1', '27.r1'], 'contains': ['162.b1', '162.i1'], 'core': '162.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3889, -1, 5244, -1], 'generators': [110, 24], 'label': '1458.311.54.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '54.r1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.r1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559564
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.g1', '18.o1', '27.s1'], 'contains': ['162.b1', '162.j1'], 'core': '162.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5464, -1, 4339, -1], 'generators': [164, 24], 'label': '1458.311.54.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '54.s1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.s1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559565
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.h1', '18.o1', '27.t1'], 'contains': ['162.b1', '162.k1'], 'core': '162.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4731, -1, 4472, -1], 'generators': [380, 24], 'label': '1458.311.54.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '54.t1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.t1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559566
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '54.u1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.i1', '18.p1', '27.u1'], 'contains': ['162.b1', '162.l1'], 'core': '162.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3785, -1, 4605, -1], 'generators': [218, 24], 'label': '1458.311.54.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '54.u1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.u1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559567
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.b1', '18.q1', '27.v1'], 'contains': ['162.c1', '162.e1'], 'core': '162.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [7245, -1, 4244, -1], 'generators': [2, 1014], 'label': '1458.311.54.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '54.v1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.v1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559568
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8748.nx', 'aut_weyl_index': 3, 'centralizer': '243.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['18.a1', '18.b1', '18.f1', '18.q1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5857, 6973, 6440, 159], 'generators': [2, 990, 54], 'label': '1458.311.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['18.a1', '18.b1', '18.f1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559569
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.w1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.c1', '18.r1', '27.w1'], 'contains': ['162.c1', '162.f1'], 'core': '162.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [4036, -1, 6997, -1], 'generators': [1014, 162], 'label': '1458.311.54.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.w1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.w1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559570
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.x1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '27.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.d1', '18.r1', '27.x1'], 'contains': ['162.c1', '162.g1'], 'core': '162.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [3574, -1, 8373, -1], 'generators': [1014, 864], 'label': '1458.311.54.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.x1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.x1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559571
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '54.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '36.12', 'aut_weyl_index': 729, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '18.s1', '27.y1'], 'contains': ['162.c1', '162.h1'], 'core': '162.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5206, -1, 5790, -1], 'generators': [326, 1014], 'label': '1458.311.54.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.y1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.y1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559572
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.z1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '27.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.f1', '18.q1', '27.z1'], 'contains': ['162.c1', '162.i1'], 'core': '162.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5052, -1, 5949, -1], 'generators': [110, 1014], 'label': '1458.311.54.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '54.z1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.z1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559573
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.ba1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.g1', '18.t1', '27.ba1'], 'contains': ['162.c1', '162.j1'], 'core': '162.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [5858, -1, 4871, -1], 'generators': [164, 1014], 'label': '1458.311.54.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.d1', 'old_label': '54.ba1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.ba1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559574
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.bb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.h1', '18.s1', '27.bb1'], 'contains': ['162.c1', '162.k1'], 'core': '162.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [5754, -1, 4979, -1], 'generators': [380, 1014], 'label': '1458.311.54.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '54.bb1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.bb1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559575
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.bc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '27.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.i1', '18.t1', '27.bc1'], 'contains': ['162.c1', '162.l1'], 'core': '162.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [4319, -1, 5473, -1], 'generators': [218, 1014], 'label': '1458.311.54.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.d1', 'old_label': '54.bc1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.bc1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559576
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '54.bd1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '36.12', 'aut_weyl_index': 729, 'centralizer': '27.bd1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['18.j1', '18.n1', '18.r1', '27.bd1'], 'contains': ['162.d1', '162.f1', '162.g1'], 'core': '486.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [3127, -1, 8825, -1], 'generators': [54, 162], 'label': '1458.311.54.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.bd1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.bd1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559577
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '54.bd2', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '27.bd2', 'complements': None, 'conjugacy_class_count': 18, 'contained_in': ['18.j1', '18.n1', '18.r1', '27.bd2'], 'contains': ['162.d1', '162.f1', '162.g1'], 'core': '486.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [2997, -1, 8692, -1], 'generators': [204, 54], 'label': '1458.311.54.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.bd2', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.bd2', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559578
    {'ambient': '1458.311', 'aut_centralizer_order': 2187, 'aut_label': '81.a1', 'aut_quo_index': 432, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['27.a1', '27.b1', '27.e1', '27.f1', '27.f2', '27.g1', '27.h1', '27.i1', '27.j1', '27.k1', '27.k2', '27.l1', '27.l2', '27.m1'], 'contains': ['162.a1', '243.a1', '243.b1'], 'core': '81.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6975, 3916, 2727, 6655], 'generators': [3, 492, 486], 'label': '1458.311.81.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '81.a1', 'normal_contained_in': ['27.a1', '27.b1'], 'normal_contains': ['162.a1', '243.a1'], 'normalizer': '1.a1', 'old_label': '81.a1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '27.5', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559579
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8748.nx', 'aut_weyl_index': 3, 'centralizer': '243.a1', 'complements': ['243.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.b1'], 'contains': ['18.a1', '18.c1', '18.d1', '18.j1', '18.n1', '18.r1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4611, 8010, 7858, 7164], 'generators': [1014, 990, 54, 162], 'label': '1458.311.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1', '3.b1'], 'normal_contains': ['18.a1', '18.c1', '18.d1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559580
    {'ambient': '1458.311', 'aut_centralizer_order': 4374, 'aut_label': '81.b1', 'aut_quo_index': 216, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['27.b1', '27.c1', '27.n1', '27.o1', '27.p1', '27.q1', '27.r1', '27.s1', '27.t1', '27.u1'], 'contains': ['162.b1', '243.a1', '243.c1'], 'core': '81.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2550, 3459, 4738, 7072], 'generators': [3, 24, 486], 'label': '1458.311.81.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '81.b1', 'normal_contained_in': ['27.b1', '27.c1'], 'normal_contains': ['162.b1', '243.a1'], 'normalizer': '1.a1', 'old_label': '81.b1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '27.3', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '81.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559581
    {'ambient': '1458.311', 'aut_centralizer_order': 2187, 'aut_label': '81.c1', 'aut_quo_index': 216, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2187, 'centralizer': '3.i1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['27.b1', '27.d1', '27.v1', '27.w1', '27.x1', '27.y1', '27.z1', '27.ba1', '27.bb1', '27.bc1'], 'contains': ['162.c1', '243.a1', '243.d1'], 'core': '81.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2904, 4880, 5632, 7488], 'generators': [3, 1014, 486], 'label': '1458.311.81.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '81.c1', 'normal_contained_in': ['27.b1', '27.d1'], 'normal_contains': ['162.c1', '243.a1'], 'normalizer': '1.a1', 'old_label': '81.c1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '27.3', 'quotient_action_kernel_order': 27, 'quotient_fusion': None, 'short_label': '81.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559582
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '81.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2187, 'centralizer': '9.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['27.d1', '27.e1', '27.n1', '27.bd1', '27.bd2'], 'contains': ['162.d1', '243.a1', '243.e1'], 'core': '243.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [1977, -1, 9080, -1], 'generators': [3, 54, 486], 'label': '1458.311.81.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '81.d1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.d1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559583
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '81.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['27.f1', '27.f2', '27.o1', '27.v1'], 'contains': ['162.e1', '243.a1', '243.f1'], 'core': '243.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7602, -1, 2270, -1], 'generators': [3, 2, 486], 'label': '1458.311.81.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '81.e1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.e1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559584
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '81.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['27.a1', '27.g1', '27.p1', '27.w1', '27.bd1', '27.bd2'], 'contains': ['162.f1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [2345, -1, 7102, -1], 'generators': [3, 162, 486], 'label': '1458.311.81.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '81.f1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.f1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559585
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '81.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['27.c1', '27.h1', '27.x1', '27.bd1', '27.bd2'], 'contains': ['162.g1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2190, -1, 8588, -1], 'generators': [3, 864, 486], 'label': '1458.311.81.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '81.g1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.g1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559586
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '81.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.i1', '27.q1', '27.y1'], 'contains': ['162.h1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3030, -1, 4048, -1], 'generators': [3, 326, 486], 'label': '1458.311.81.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.e1', 'old_label': '81.h1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559587
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '81.i1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.j1', '27.r1', '27.z1'], 'contains': ['162.i1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2776, -1, 4150, -1], 'generators': [3, 110, 486], 'label': '1458.311.81.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.f1', 'old_label': '81.i1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.i1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559588
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '81.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['27.k1', '27.k2', '27.s1', '27.ba1'], 'contains': ['162.j1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5247, -1, 3124, -1], 'generators': [3, 164, 486], 'label': '1458.311.81.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.g1', 'old_label': '81.j1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.j1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559589
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '81.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['27.l1', '27.l2', '27.t1', '27.bb1'], 'contains': ['162.k1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5087, -1, 3334, -1], 'generators': [3, 380, 486], 'label': '1458.311.81.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.h1', 'old_label': '81.k1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.k1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559590
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '81.b1', 'complements': ['243.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.c1'], 'contains': ['18.a1', '18.e1', '18.h1', '18.s1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6181, 8565, 6238, 6135], 'generators': [326, 990, 54], 'label': '1458.311.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.a1', '3.c1'], 'normal_contains': ['18.a1', '18.e1', '18.h1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559591
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '81.l1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.m1', '27.u1', '27.bc1'], 'contains': ['162.l1', '243.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2677, -1, 3945, -1], 'generators': [3, 218, 486], 'label': '1458.311.81.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.i1', 'old_label': '81.l1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.l1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559592
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '81.m1', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['27.f1'], 'contains': ['162.m1', '243.b1', '243.f1'], 'core': '729.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [7927, -1, 2016, -1], 'generators': [3, 2, 18], 'label': '1458.311.81.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.k1', 'old_label': '81.m1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.m1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559593
    {'ambient': '1458.311', 'aut_centralizer_order': 1458, 'aut_label': '81.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.b1'], 'contains': ['162.n1', '243.b1', '243.c1', '243.d1'], 'core': '729.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5589, -1, 6108, -1], 'generators': [3, 1014, 18], 'label': '1458.311.81.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.e1', 'old_label': '81.n1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559594
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '81.o1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '27.n1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.n1'], 'contains': ['162.o1', '243.c1', '243.e1'], 'core': '729.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [1824, -1, 9238, -1], 'generators': [3, 24, 54], 'label': '1458.311.81.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.n1', 'old_label': '81.o1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.o1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559595
    {'ambient': '1458.311', 'aut_centralizer_order': 2187, 'aut_label': '162.a1', 'aut_quo_index': 432, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['54.a1', '54.b1', '54.e1', '54.f1', '54.f2', '54.g1', '54.h1', '54.i1', '54.j1', '54.k1', '54.k2', '54.l1', '54.l2', '54.m1', '81.a1'], 'contains': ['486.a1', '486.b1'], 'core': '162.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6975, 4202, 3465, 5786], 'generators': [492, 486], 'label': '1458.311.162.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '162.a1', 'normal_contained_in': ['54.a1', '54.b1', '81.a1'], 'normal_contains': ['486.a1'], 'normalizer': '1.a1', 'old_label': '162.a1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '54.15', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '162.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559596
    {'ambient': '1458.311', 'aut_centralizer_order': 4374, 'aut_label': '162.b1', 'aut_quo_index': 216, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '3.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['54.b1', '54.c1', '54.n1', '54.o1', '54.p1', '54.q1', '54.r1', '54.s1', '54.t1', '54.u1', '81.b1'], 'contains': ['486.a1', '486.c1'], 'core': '162.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3817, 4470, 5112, 6086], 'generators': [24, 486], 'label': '1458.311.162.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '162.b1', 'normal_contained_in': ['54.b1', '54.c1', '81.b1'], 'normal_contains': ['486.a1'], 'normalizer': '1.a1', 'old_label': '162.b1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '54.10', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '162.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559597
    {'ambient': '1458.311', 'aut_centralizer_order': 2187, 'aut_label': '162.c1', 'aut_quo_index': 216, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2187, 'centralizer': '3.i1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['54.b1', '54.d1', '54.v1', '54.w1', '54.x1', '54.y1', '54.z1', '54.ba1', '54.bb1', '54.bc1', '81.c1'], 'contains': ['486.a1', '486.d1'], 'core': '162.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4663, 4982, 5396, 6337], 'generators': [1014, 486], 'label': '1458.311.162.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '162.c1', 'normal_contained_in': ['54.b1', '54.d1', '81.c1'], 'normal_contains': ['486.a1'], 'normalizer': '1.a1', 'old_label': '162.c1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '54.10', 'quotient_action_kernel_order': 54, 'quotient_fusion': None, 'short_label': '162.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559598
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '162.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '12.4', 'aut_weyl_index': 2187, 'centralizer': '9.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['54.d1', '54.e1', '54.n1', '54.bd1', '54.bd2', '81.d1'], 'contains': ['486.a1', '486.e1'], 'core': '486.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3144, -1, 8703, -1], 'generators': [54, 486], 'label': '1458.311.162.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '162.d1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.d1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559599
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '162.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['54.f1', '54.f2', '54.o1', '54.v1', '81.e1'], 'contains': ['486.a1', '486.f1'], 'core': '486.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7491, -1, 2392, -1], 'generators': [2, 486], 'label': '1458.311.162.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '162.e1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.e1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559600
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '162.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['54.a1', '54.g1', '54.p1', '54.w1', '54.bd1', '54.bd2', '81.f1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4032, -1, 6944, -1], 'generators': [162], 'label': '1458.311.162.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '162.f1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.f1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559601
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8748.nx', 'aut_weyl_index': 3, 'centralizer': '243.a1', 'complements': ['243.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.d1'], 'contains': ['18.a1', '18.g1', '18.i1', '18.t1'], 'core': '6.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5207, 9756, 5992, 4463], 'generators': [164, 990, 54], 'label': '1458.311.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.a1', '3.d1'], 'normal_contains': ['18.a1', '18.g1', '18.i1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559602
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '162.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['54.c1', '54.h1', '54.x1', '54.bd1', '54.bd2', '81.g1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3341, -1, 8373, -1], 'generators': [864], 'label': '1458.311.162.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '162.g1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.g1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559603
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '162.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.i1', '54.q1', '54.y1', '81.h1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4405, -1, 4879, -1], 'generators': [326], 'label': '1458.311.162.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.e1', 'old_label': '162.h1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559604
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '162.i1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.j1', '54.r1', '54.z1', '81.i1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4323, -1, 4963, -1], 'generators': [110], 'label': '1458.311.162.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.f1', 'old_label': '162.i1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.i1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559605
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '162.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['54.k1', '54.k2', '54.s1', '54.ba1', '81.j1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5687, -1, 3948, -1], 'generators': [164], 'label': '1458.311.162.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.g1', 'old_label': '162.j1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.j1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559606
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '162.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['54.l1', '54.l2', '54.t1', '54.bb1', '81.k1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5209, -1, 4448, -1], 'generators': [380], 'label': '1458.311.162.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.h1', 'old_label': '162.k1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.k1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559607
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '162.l1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '6.2', 'aut_weyl_index': 4374, 'centralizer': '27.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.m1', '54.u1', '54.bc1', '81.l1'], 'contains': ['486.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [4242, -1, 4605, -1], 'generators': [218], 'label': '1458.311.162.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.i1', 'old_label': '162.l1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.l1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559608
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '162.m1', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['54.f1', '81.m1'], 'contains': ['486.b1', '486.f1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [7820, -1, 2162, -1], 'generators': [2, 18], 'label': '1458.311.162.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.k1', 'old_label': '162.m1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.m1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559609
    {'ambient': '1458.311', 'aut_centralizer_order': 1458, 'aut_label': '162.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.b1', '81.n1'], 'contains': ['486.b1', '486.c1', '486.d1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5861, -1, 5492, -1], 'generators': [1014, 18], 'label': '1458.311.162.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.e1', 'old_label': '162.n1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559610
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '162.o1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '6.1', 'aut_weyl_index': 4374, 'centralizer': '27.n1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.n1', '81.o1'], 'contains': ['486.c1', '486.e1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [1877, -1, 8942, -1], 'generators': [24, 54], 'label': '1458.311.162.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.n1', 'old_label': '162.o1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.o1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559611
    {'ambient': '1458.311', 'aut_centralizer_order': 13122, 'aut_label': '243.a1', 'aut_quo_index': 648, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['81.a1', '81.b1', '81.c1', '81.d1', '81.e1', '81.f1', '81.g1', '81.h1', '81.i1', '81.j1', '81.k1', '81.l1'], 'contains': ['486.a1', '729.a1'], 'core': '243.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3030, 4057, 4714, 6655], 'generators': [3, 486], 'label': '1458.311.243.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '243.a1', 'normal_contained_in': ['81.a1', '81.b1', '81.c1'], 'normal_contains': ['486.a1', '729.a1'], 'normalizer': '1.a1', 'old_label': '243.a1', 'projective_image': '243.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '243.37', 'quotient_action_kernel_order': 243, 'quotient_fusion': None, 'short_label': '243.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559612
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '6.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1458.1784', 'aut_weyl_index': 18, 'centralizer': '81.a1', 'complements': ['243.e1', '243.f1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '3.e1'], 'contains': ['18.b1', '18.c1', '18.e1', '18.g1', '18.k1'], 'core': '6.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8026, 7499, 3671, 1972], 'generators': [2, 1014, 162], 'label': '1458.311.6.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': ['2.a1', '3.e1'], 'normal_contains': ['18.b1', '18.c1', '18.e1', '18.g1'], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559613
    {'ambient': '1458.311', 'aut_centralizer_order': 4374, 'aut_label': '243.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['81.a1', '81.m1', '81.n1'], 'contains': ['486.b1', '729.a1'], 'core': '729.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6176, -1, 3375, -1], 'generators': [3, 492], 'label': '1458.311.243.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '81.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '243.b1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559614
    {'ambient': '1458.311', 'aut_centralizer_order': 8748, 'aut_label': '243.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['81.b1', '81.n1', '81.o1'], 'contains': ['486.c1', '729.a1'], 'core': '729.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2949, -1, 5666, -1], 'generators': [3, 24], 'label': '1458.311.243.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '81.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '243.c1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559615
    {'ambient': '1458.311', 'aut_centralizer_order': 4374, 'aut_label': '243.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '3.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['81.c1', '81.n1'], 'contains': ['486.d1', '729.a1'], 'core': '729.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4600, -1, 5582, -1], 'generators': [3, 1014], 'label': '1458.311.243.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '81.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '243.d1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559616
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '243.e1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '9.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['81.d1', '81.o1'], 'contains': ['486.e1', '729.a1'], 'core': '729.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [2214, -1, 8832, -1], 'generators': [3, 54], 'label': '1458.311.243.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '27.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.n1', 'old_label': '243.e1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559617
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '243.f1', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['81.e1', '81.m1'], 'contains': ['486.f1', '729.a1'], 'core': '729.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [7600, -1, 2285, -1], 'generators': [3, 2], 'label': '1458.311.243.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.f1', 'old_label': '243.f1', 'projective_image': '729.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559618
    {'ambient': '1458.311', 'aut_centralizer_order': 13122, 'aut_label': '486.a1', 'aut_quo_index': 648, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['162.a1', '162.b1', '162.c1', '162.d1', '162.e1', '162.f1', '162.g1', '162.h1', '162.i1', '162.j1', '162.k1', '162.l1', '243.a1'], 'contains': ['1458.a1'], 'core': '486.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4345, 4237, 4921, 6337], 'generators': [486], 'label': '1458.311.486.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '486.a1', 'normal_contained_in': ['162.a1', '162.b1', '162.c1', '243.a1'], 'normal_contains': ['1458.a1'], 'normalizer': '1.a1', 'old_label': '486.a1', 'projective_image': '486.196', 'quotient_action_image': '1.1', 'quotient_action_kernel': '486.196', 'quotient_action_kernel_order': 486, 'quotient_fusion': None, 'short_label': '486.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559619
    {'ambient': '1458.311', 'aut_centralizer_order': 4374, 'aut_label': '486.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['162.a1', '162.m1', '162.n1', '243.b1'], 'contains': ['1458.a1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6176, -1, 3465, -1], 'generators': [492], 'label': '1458.311.486.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '162.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '486.b1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559620
    {'ambient': '1458.311', 'aut_centralizer_order': 8748, 'aut_label': '486.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '3.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.b1', '162.n1', '162.o1', '243.c1'], 'contains': ['1458.a1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3817, -1, 5492, -1], 'generators': [24], 'label': '1458.311.486.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '162.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '486.c1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559621
    {'ambient': '1458.311', 'aut_centralizer_order': 4374, 'aut_label': '486.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '3.i1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['162.c1', '162.n1', '243.d1'], 'contains': ['1458.a1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4631, -1, 5402, -1], 'generators': [1014], 'label': '1458.311.486.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '162.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '486.d1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559622
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '486.e1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '9.n1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['162.d1', '162.o1', '243.e1'], 'contains': ['1458.a1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [2538, -1, 8767, -1], 'generators': [54], 'label': '1458.311.486.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.n1', 'old_label': '486.e1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559623
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '6.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '243.a1', 'complements': ['243.e1', '243.f1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '3.f1'], 'contains': ['18.b1', '18.c1', '18.h1', '18.i1', '18.l1'], 'core': '6.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [6721, 3922, 3440, 2578], 'generators': [56, 1014, 162], 'label': '1458.311.6.f1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.f1', 'normal_contained_in': ['2.a1', '3.f1'], 'normal_contains': ['18.b1', '18.c1', '18.h1', '18.i1'], 'normalizer': '1.a1', 'old_label': '6.f1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559624
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '486.f1', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '2.1', 'aut_weyl_index': 13122, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['162.e1', '162.m1', '243.f1'], 'contains': ['1458.a1'], 'core': '1458.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [7546, -1, 2339, -1], 'generators': [2], 'label': '1458.311.486.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.f1', 'old_label': '486.f1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559625
    {'ambient': '1458.311', 'aut_centralizer_order': 26244, 'aut_label': '729.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 26244, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 1, 'contained_in': ['243.a1', '243.b1', '243.c1', '243.d1', '243.e1', '243.f1'], 'contains': ['1458.a1'], 'core': '729.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4342, 4057, 5235, 6606], 'generators': [3], 'label': '1458.311.729.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '729.a1', 'normal_contained_in': ['243.a1'], 'normal_contains': ['1458.a1'], 'normalizer': '1.a1', 'old_label': '729.a1', 'projective_image': '729.311', 'quotient_action_image': '1.1', 'quotient_action_kernel': '729.311', 'quotient_action_kernel_order': 729, 'quotient_fusion': None, 'short_label': '729.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559626
    {'ambient': '1458.311', 'aut_centralizer_order': None, 'aut_label': '1458.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['486.a1', '486.b1', '486.c1', '486.d1', '486.e1', '486.f1', '729.a1'], 'contains': [], 'core': '1458.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4404, 4148, 5235, 6447], 'generators': [], 'label': '1458.311.1458.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1458.a1', 'normal_contained_in': ['486.a1', '729.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1458.a1', 'projective_image': '1458.311', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 60559627
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '6.g1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '243.a1', 'complements': ['243.e1', '243.f1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '3.g1'], 'contains': ['18.b1', '18.d1', '18.g1', '18.h1', '18.o1'], 'core': '6.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [6988, 6448, 4436, 649], 'generators': [2, 990, 864], 'label': '1458.311.6.g1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.g1', 'normal_contained_in': ['2.a1', '3.g1'], 'normal_contains': ['18.b1', '18.d1', '18.g1', '18.h1'], 'normalizer': '1.a1', 'old_label': '6.g1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.g1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559628
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '6.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '243.a1', 'complements': ['243.e1', '243.f1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '3.h1'], 'contains': ['18.c1', '18.f1', '18.g1', '18.h1', '18.m1'], 'core': '6.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [7404, 5005, 4184, 1310], 'generators': [110, 1014, 162], 'label': '1458.311.6.h1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.h1', 'normal_contained_in': ['2.a1', '3.h1'], 'normal_contains': ['18.c1', '18.f1', '18.g1', '18.h1'], 'normalizer': '1.a1', 'old_label': '6.h1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.h1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559629
    {'ambient': '1458.311', 'aut_centralizer_order': 1, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 1, 'centralizer': '243.a1', 'complements': ['729.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '6.g1', '6.h1', '6.i1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6211, 6448, 5113, 2660], 'generators': [2, 54, 162], 'label': '1458.311.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '6.g1', '6.h1', '6.i1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '486.196', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559630
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '6.i1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '81.c1', 'complements': ['243.e1', '243.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.i1'], 'contains': ['18.d1', '18.e1', '18.f1', '18.i1', '18.p1'], 'core': '6.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5575, 5756, 5550, 3817], 'generators': [110, 990, 864], 'label': '1458.311.6.i1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.i1', 'normal_contained_in': ['2.a1', '3.i1'], 'normal_contains': ['18.d1', '18.e1', '18.f1', '18.i1'], 'normalizer': '1.a1', 'old_label': '6.i1', 'projective_image': '486.196', 'quotient_action_image': '3.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '6.i1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559631
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '972.811', 'aut_weyl_index': 27, 'centralizer': '81.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.b1', '3.c1', '3.d1'], 'contains': ['18.a1', '27.b1', '27.d1', '27.e1', '27.n1'], 'core': '9.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3493, 8995, 8037, 9732], 'generators': [3, 486, 1014, 990, 54], 'label': '1458.311.9.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.a1', 'normal_contained_in': ['3.a1', '3.b1', '3.c1', '3.d1'], 'normal_contains': ['18.a1', '27.b1', '27.d1'], 'normalizer': '1.a1', 'old_label': '9.a1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559632
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.b1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['3.a1', '3.e1', '3.f1', '3.g1'], 'contains': ['18.b1', '27.b1', '27.f1', '27.f2', '27.o1', '27.v1'], 'core': '9.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7721, 2478, 2822, 3178], 'generators': [3, 486, 2, 1014, 990], 'label': '1458.311.9.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.b1', 'normal_contained_in': ['3.a1', '3.e1', '3.f1', '3.g1'], 'normal_contains': ['18.b1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.b1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.b1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559633
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.c1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['3.b1', '3.e1', '3.f1', '3.h1'], 'contains': ['18.c1', '27.a1', '27.b1', '27.g1', '27.p1', '27.w1'], 'core': '9.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5733, 3070, 5779, 7592], 'generators': [3, 486, 1014, 990, 162], 'label': '1458.311.9.c1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.c1', 'normal_contained_in': ['3.b1', '3.e1', '3.f1', '3.h1'], 'normal_contains': ['18.c1', '27.a1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.c1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.c1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559634
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.d1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '81.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.b1', '3.g1', '3.i1'], 'contains': ['18.d1', '27.b1', '27.c1', '27.h1', '27.x1'], 'core': '9.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4758, 793, 7513, 9181], 'generators': [3, 486, 1014, 990, 864], 'label': '1458.311.9.d1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.d1', 'normal_contained_in': ['3.b1', '3.g1', '3.i1'], 'normal_contains': ['18.d1', '27.b1', '27.c1'], 'normalizer': '1.a1', 'old_label': '9.d1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.d1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559635
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '9.e1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '108.38', 'aut_weyl_index': 243, 'centralizer': '9.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.c1', '3.e1', '3.i1'], 'contains': ['18.e1', '27.b1', '27.i1', '27.q1', '27.y1'], 'core': '9.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6206, 4690, 4855, 8131], 'generators': [3, 486, 326, 1014, 990], 'label': '1458.311.9.e1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.e1', 'normal_contained_in': ['3.c1', '3.e1', '3.i1'], 'normal_contains': ['18.e1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.e1', 'projective_image': '243.37', 'quotient_action_image': '9.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '9.e1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559636
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.f1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '81.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.h1', '3.i1'], 'contains': ['18.f1', '27.b1', '27.j1', '27.r1', '27.z1'], 'core': '9.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5964, 1888, 5321, 5024], 'generators': [3, 486, 110, 1014, 990], 'label': '1458.311.9.f1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.f1', 'normal_contained_in': ['3.a1', '3.h1', '3.i1'], 'normal_contains': ['18.f1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.f1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.f1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559637
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.g1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['3.d1', '3.e1', '3.g1', '3.h1'], 'contains': ['18.g1', '27.b1', '27.k1', '27.k2', '27.s1', '27.ba1'], 'core': '9.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [8263, 3617, 3032, 5535], 'generators': [3, 486, 164, 1014, 990], 'label': '1458.311.9.g1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.g1', 'normal_contained_in': ['3.d1', '3.e1', '3.g1', '3.h1'], 'normal_contains': ['18.g1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.g1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.g1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559638
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.h1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['3.c1', '3.f1', '3.g1', '3.h1'], 'contains': ['18.h1', '27.b1', '27.l1', '27.l2', '27.t1', '27.bb1'], 'core': '9.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [7130, 1340, 3227, 6735], 'generators': [3, 486, 380, 1014, 990], 'label': '1458.311.9.h1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.h1', 'normal_contained_in': ['3.c1', '3.f1', '3.g1', '3.h1'], 'normal_contains': ['18.h1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.h1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.h1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559639
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '9.i1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '81.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['3.d1', '3.f1', '3.i1'], 'contains': ['18.i1', '27.b1', '27.m1', '27.u1', '27.bc1'], 'core': '9.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5374, 244, 4650, 8670], 'generators': [3, 486, 218, 1014, 990], 'label': '1458.311.9.i1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '9.i1', 'normal_contained_in': ['3.d1', '3.f1', '3.i1'], 'normal_contains': ['18.i1', '27.b1'], 'normalizer': '1.a1', 'old_label': '9.i1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.i1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559640
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8748.nx', 'aut_weyl_index': 3, 'centralizer': '243.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '9.a1', '9.b1', '9.f1', '9.q1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5766, 3916, 6308, 3251], 'generators': [3, 486, 528, 2, 990, 54], 'label': '1458.311.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '9.a1', '9.b1', '9.f1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559641
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '81.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['3.b1'], 'contains': ['18.j1', '27.a1', '27.e1', '27.g1', '27.h1', '27.bd1', '27.bd2'], 'core': '27.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5130, -1, 8472, -1], 'generators': [3, 486, 492, 54, 162], 'label': '1458.311.9.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.j1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.j1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559642
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.52', 'aut_weyl_index': 162, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['3.e1'], 'contains': ['18.k1', '27.a1', '27.f1', '27.i1', '27.k1'], 'core': '27.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [9080, -1, 1622, -1], 'generators': [3, 486, 2, 162, 990], 'label': '1458.311.9.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '9.k1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.k1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559643
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.l1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['3.f1'], 'contains': ['18.l1', '27.a1', '27.f2', '27.l1', '27.m1'], 'core': '27.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6823, -1, 711, -1], 'generators': [3, 486, 56, 162, 504], 'label': '1458.311.9.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '9.l1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.l1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559644
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.m1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['3.h1'], 'contains': ['18.m1', '27.a1', '27.j1', '27.k2', '27.l2'], 'core': '27.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [8000, -1, 2004, -1], 'generators': [3, 486, 110, 162, 18], 'label': '1458.311.9.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '9.m1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.m1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559645
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.122', 'aut_weyl_index': 81, 'centralizer': '81.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.b1'], 'contains': ['18.n1', '27.c1', '27.n1', '27.p1', '27.bd1', '27.bd2'], 'core': '27.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [636, -1, 9345, -1], 'generators': [3, 486, 24, 54, 162], 'label': '1458.311.9.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.n1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.n1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559646
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.o1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['3.g1'], 'contains': ['18.o1', '27.c1', '27.o1', '27.s1', '27.t1'], 'core': '27.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [4322, -1, 3917, -1], 'generators': [3, 486, 2, 864, 24], 'label': '1458.311.9.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '9.o1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.o1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559647
    {'ambient': '1458.311', 'aut_centralizer_order': 18, 'aut_label': '9.p1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.i1'], 'contains': ['18.p1', '27.c1', '27.q1', '27.r1', '27.u1'], 'core': '27.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [1928, -1, 5093, -1], 'generators': [3, 486, 110, 864, 24], 'label': '1458.311.9.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '9.p1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.p1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559648
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.q1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.a1'], 'contains': ['18.q1', '27.d1', '27.v1', '27.z1'], 'core': '27.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [3729, -1, 7164, -1], 'generators': [3, 486, 2, 54, 528], 'label': '1458.311.9.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '9.q1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.q1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559649
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.r1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '81.g1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.b1'], 'contains': ['18.r1', '27.d1', '27.w1', '27.x1', '27.bd1', '27.bd2'], 'core': '27.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [1315, -1, 8691, -1], 'generators': [3, 486, 1014, 54, 162], 'label': '1458.311.9.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.r1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.r1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559650
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.s1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.c1'], 'contains': ['18.s1', '27.d1', '27.y1', '27.bb1'], 'core': '27.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [3983, -1, 6903, -1], 'generators': [3, 486, 326, 54, 1014], 'label': '1458.311.9.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '9.s1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.s1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559651
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '3.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8748.nx', 'aut_weyl_index': 3, 'centralizer': '243.a1', 'complements': ['486.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.b1', '9.a1', '9.c1', '9.d1', '9.j1', '9.n1', '9.r1'], 'core': '3.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4654, 5524, 7947, 9579], 'generators': [3, 486, 162, 1014, 990, 54], 'label': '1458.311.3.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.b1', '9.a1', '9.c1', '9.d1'], 'normalizer': '1.a1', 'old_label': '3.b1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559652
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '9.t1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['3.d1'], 'contains': ['18.t1', '27.d1', '27.ba1', '27.bc1'], 'core': '27.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [3256, -1, 6642, -1], 'generators': [3, 486, 164, 54, 42], 'label': '1458.311.9.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.d1', 'old_label': '9.t1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.t1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559653
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '972.811', 'aut_weyl_index': 27, 'centralizer': '81.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.b1', '6.c1', '6.d1', '9.a1'], 'contains': ['54.b1', '54.d1', '54.e1', '54.n1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4409, 8263, 8037, 6110], 'generators': [1014, 990, 54], 'label': '1458.311.18.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '6.b1', '6.c1', '6.d1', '9.a1'], 'normal_contains': ['54.b1', '54.d1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559654
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.b1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '6.e1', '6.f1', '6.g1', '9.b1'], 'contains': ['54.b1', '54.f1', '54.f2', '54.o1', '54.v1'], 'core': '18.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7793, 6018, 2703, 1972], 'generators': [2, 1014, 990], 'label': '1458.311.18.b1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.b1', 'normal_contained_in': ['6.a1', '6.e1', '6.f1', '6.g1', '9.b1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559655
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.c1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.e1', '6.f1', '6.h1', '9.c1'], 'contains': ['54.a1', '54.b1', '54.g1', '54.p1', '54.w1'], 'core': '18.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5977, 4333, 6499, 4056], 'generators': [1014, 990, 162], 'label': '1458.311.18.c1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.c1', 'normal_contained_in': ['6.b1', '6.e1', '6.f1', '6.h1', '9.c1'], 'normal_contains': ['54.a1', '54.b1'], 'normalizer': '1.a1', 'old_label': '18.c1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559656
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.d1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '81.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.g1', '6.i1', '9.d1'], 'contains': ['54.b1', '54.c1', '54.h1', '54.x1'], 'core': '18.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4771, 6610, 7632, 5559], 'generators': [1014, 990, 864], 'label': '1458.311.18.d1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.d1', 'normal_contained_in': ['6.b1', '6.g1', '6.i1', '9.d1'], 'normal_contains': ['54.b1', '54.c1'], 'normalizer': '1.a1', 'old_label': '18.d1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559657
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '18.e1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '108.38', 'aut_weyl_index': 243, 'centralizer': '9.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '6.e1', '6.i1', '9.e1'], 'contains': ['54.b1', '54.i1', '54.q1', '54.y1'], 'core': '18.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6606, 7688, 5372, 4552], 'generators': [326, 1014, 990], 'label': '1458.311.18.e1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.e1', 'normal_contained_in': ['6.c1', '6.e1', '6.i1', '9.e1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.e1', 'projective_image': '486.196', 'quotient_action_image': '9.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559658
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.f1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '81.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.h1', '6.i1', '9.f1'], 'contains': ['54.b1', '54.j1', '54.r1', '54.z1'], 'core': '18.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [6251, 5428, 5734, 2522], 'generators': [110, 1014, 990], 'label': '1458.311.18.f1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.f1', 'normal_contained_in': ['6.a1', '6.h1', '6.i1', '9.f1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.f1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559659
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.g1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '6.e1', '6.g1', '6.h1', '9.g1'], 'contains': ['54.b1', '54.k1', '54.k2', '54.s1', '54.ba1'], 'core': '18.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [8295, 7157, 3523, 3034], 'generators': [164, 1014, 990], 'label': '1458.311.18.g1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.g1', 'normal_contained_in': ['6.d1', '6.e1', '6.g1', '6.h1', '9.g1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.g1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559660
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.h1', 'aut_quo_index': 24, 'aut_stab_index': 2, 'aut_weyl_group': '486.249', 'aut_weyl_index': 54, 'centralizer': '81.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '6.f1', '6.g1', '6.h1', '9.h1'], 'contains': ['54.b1', '54.l1', '54.l2', '54.t1', '54.bb1'], 'core': '18.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [7366, 4880, 3718, 3545], 'generators': [380, 1014, 990], 'label': '1458.311.18.h1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.h1', 'normal_contained_in': ['6.c1', '6.f1', '6.g1', '6.h1', '9.h1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.h1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.h1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559661
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '18.i1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '972.812', 'aut_weyl_index': 27, 'centralizer': '81.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '6.f1', '6.i1', '9.i1'], 'contains': ['54.b1', '54.m1', '54.u1', '54.bc1'], 'core': '18.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5746, 3784, 4610, 5048], 'generators': [218, 1014, 990], 'label': '1458.311.18.i1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.i1', 'normal_contained_in': ['6.d1', '6.f1', '6.i1', '9.i1'], 'normal_contains': ['54.b1'], 'normalizer': '1.a1', 'old_label': '18.i1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.i1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559662
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '3.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 9, 'centralizer': '81.b1', 'complements': ['486.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.c1', '9.a1', '9.e1', '9.h1', '9.s1'], 'core': '3.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6075, 7190, 6001, 8948], 'generators': [3, 486, 1014, 326, 990, 54], 'label': '1458.311.3.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.c1', '9.a1', '9.e1', '9.h1'], 'normalizer': '1.a1', 'old_label': '3.c1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.c1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559663
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.j1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '81.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.b1', '9.j1'], 'contains': ['54.a1', '54.e1', '54.g1', '54.h1', '54.bd1', '54.bd2'], 'core': '54.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4972, -1, 8825, -1], 'generators': [492, 54, 162], 'label': '1458.311.18.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.j1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.j1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559664
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.52', 'aut_weyl_index': 162, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.e1', '9.k1'], 'contains': ['54.a1', '54.f1', '54.i1', '54.k1'], 'core': '54.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [9461, -1, 1551, -1], 'generators': [2, 162], 'label': '1458.311.18.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '18.k1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.k1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559665
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.l1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.f1', '9.l1'], 'contains': ['54.a1', '54.f2', '54.l1', '54.m1'], 'core': '54.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7097, -1, 457, -1], 'generators': [56, 162], 'label': '1458.311.18.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '18.l1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.l1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559666
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.m1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.h1', '9.m1'], 'contains': ['54.a1', '54.j1', '54.k2', '54.l2'], 'core': '54.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7987, -1, 1703, -1], 'generators': [110, 162], 'label': '1458.311.18.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '18.m1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.m1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559667
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.122', 'aut_weyl_index': 81, 'centralizer': '81.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '9.n1'], 'contains': ['54.c1', '54.n1', '54.p1', '54.bd1', '54.bd2'], 'core': '54.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [3251, -1, 9345, -1], 'generators': [24, 54, 162], 'label': '1458.311.18.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.n1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.n1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559668
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.o1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.g1', '9.o1'], 'contains': ['54.c1', '54.o1', '54.s1', '54.t1'], 'core': '54.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [4576, -1, 3874, -1], 'generators': [2, 864], 'label': '1458.311.18.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '18.o1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.o1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559669
    {'ambient': '1458.311', 'aut_centralizer_order': 18, 'aut_label': '18.p1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '162.41', 'aut_weyl_index': 162, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.i1', '9.p1'], 'contains': ['54.c1', '54.q1', '54.r1', '54.u1'], 'core': '54.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [3730, -1, 5550, -1], 'generators': [110, 864], 'label': '1458.311.18.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '18.p1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.p1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559670
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.q1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.a1', '9.q1'], 'contains': ['54.d1', '54.v1', '54.z1'], 'core': '54.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [5093, -1, 7476, -1], 'generators': [2, 54], 'label': '1458.311.18.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '18.q1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.q1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559671
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.r1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '81.g1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '9.r1'], 'contains': ['54.d1', '54.w1', '54.x1', '54.bd1', '54.bd2'], 'core': '54.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [3451, -1, 8957, -1], 'generators': [1014, 54, 162], 'label': '1458.311.18.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '18.r1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.r1', 'subgroup_fusion': None, 'weyl_group': '27.5'}
  • id: 60559672
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.s1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.c1', '9.s1'], 'contains': ['54.d1', '54.y1', '54.bb1'], 'core': '54.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [5207, -1, 7358, -1], 'generators': [326, 54], 'label': '1458.311.18.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.s1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.s1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559673
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '3.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8748.nx', 'aut_weyl_index': 3, 'centralizer': '243.a1', 'complements': ['486.f1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.d1', '9.a1', '9.g1', '9.i1', '9.t1'], 'core': '3.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5088, 8132, 5646, 8186], 'generators': [3, 486, 42, 164, 990, 54], 'label': '1458.311.3.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.d1', '9.a1', '9.g1', '9.i1'], 'normalizer': '1.a1', 'old_label': '3.d1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.d1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559674
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '18.t1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '324.117', 'aut_weyl_index': 81, 'centralizer': '243.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.d1', '9.t1'], 'contains': ['54.d1', '54.ba1', '54.bc1'], 'core': '54.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [4053, -1, 7240, -1], 'generators': [164, 54], 'label': '1458.311.18.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.d1', 'old_label': '18.t1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.t1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559675
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.a1', 'aut_quo_index': 24, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['9.c1', '9.j1', '9.k1', '9.l1', '9.m1'], 'contains': ['54.a1', '81.a1', '81.f1'], 'core': '27.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6579, 3916, 2075, 6655], 'generators': [3, 990, 162, 486], 'label': '1458.311.27.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27.a1', 'normal_contained_in': ['9.c1'], 'normal_contains': ['54.a1', '81.a1'], 'normalizer': '1.a1', 'old_label': '27.a1', 'projective_image': '243.37', 'quotient_action_image': '27.3', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559676
    {'ambient': '1458.311', 'aut_centralizer_order': 729, 'aut_label': '27.b1', 'aut_quo_index': 2808, 'aut_stab_index': 1, 'aut_weyl_group': '36.10', 'aut_weyl_index': 729, 'centralizer': '9.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.b1', '9.c1', '9.d1', '9.e1', '9.f1', '9.g1', '9.h1', '9.i1'], 'contains': ['54.b1', '81.a1', '81.b1', '81.c1', '81.n1'], 'core': '27.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7207, 3332, 5189, 7145], 'generators': [3, 1014, 990, 486], 'label': '1458.311.27.b1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '27.b1', 'normal_contained_in': ['9.a1', '9.b1', '9.c1', '9.d1', '9.e1', '9.f1', '9.g1', '9.h1', '9.i1'], 'normal_contains': ['54.b1', '81.a1', '81.b1', '81.c1'], 'normalizer': '1.a1', 'old_label': '27.b1', 'projective_image': '243.37', 'quotient_action_image': '9.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '27.b1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559677
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '27.c1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['9.d1', '9.n1', '9.o1', '9.p1'], 'contains': ['54.c1', '81.b1', '81.g1'], 'core': '27.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [636, 2800, 6694, 7641], 'generators': [3, 24, 864, 486], 'label': '1458.311.27.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27.c1', 'normal_contained_in': ['9.d1'], 'normal_contains': ['54.c1', '81.b1'], 'normalizer': '1.a1', 'old_label': '27.c1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.c1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559678
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.d1', 'aut_quo_index': 24, 'aut_stab_index': 3, 'aut_weyl_group': '108.17', 'aut_weyl_index': 243, 'centralizer': '27.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['9.a1', '9.q1', '9.r1', '9.s1', '9.t1'], 'contains': ['54.d1', '81.c1', '81.d1'], 'core': '27.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [1113, 7607, 8262, 8192], 'generators': [3, 1014, 54, 486], 'label': '1458.311.27.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '27.d1', 'normal_contained_in': ['9.a1'], 'normal_contains': ['54.d1', '81.c1'], 'normalizer': '1.a1', 'old_label': '27.d1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.d1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559679
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.p1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.a1', '9.j1'], 'contains': ['54.e1', '81.a1', '81.d1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4544, -1, 9135, -1], 'generators': [3, 492, 54, 486], 'label': '1458.311.27.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.e1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.e1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559680
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.b1', '9.k1'], 'contains': ['54.f1', '81.a1', '81.e1', '81.m1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9921, -1, 81, -1], 'generators': [3, 2, 990, 486], 'label': '1458.311.27.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '27.f1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.f1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559681
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.f2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.b1', '9.l1'], 'contains': ['54.f2', '81.a1', '81.e1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9677, -1, 285, -1], 'generators': [3, 2, 492, 486], 'label': '1458.311.27.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '27.f2', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.f2', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559682
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.c1', '9.j1'], 'contains': ['54.g1', '81.a1', '81.f1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5946, -1, 6889, -1], 'generators': [3, 492, 162, 486], 'label': '1458.311.27.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.g1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.g1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559683
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.d1', '9.j1'], 'contains': ['54.h1', '81.a1', '81.g1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5757, -1, 8472, -1], 'generators': [3, 492, 864, 486], 'label': '1458.311.27.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.h1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.h1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559684
    {'ambient': '1458.311', 'aut_centralizer_order': 9, 'aut_label': '3.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1458.1784', 'aut_weyl_index': 18, 'centralizer': '81.a1', 'complements': ['486.e1', '486.f1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['6.e1', '9.b1', '9.c1', '9.e1', '9.g1', '9.k1'], 'core': '3.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [7727, 4766, 3635, 5826], 'generators': [3, 486, 990, 2, 1014, 162], 'label': '1458.311.3.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.e1', '9.b1', '9.c1', '9.e1', '9.g1'], 'normalizer': '1.a1', 'old_label': '3.e1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.e1', 'subgroup_fusion': None, 'weyl_group': '81.12'}
  • id: 60559685
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '27.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.e1', '9.k1'], 'contains': ['54.i1', '81.a1', '81.h1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7910, -1, 1885, -1], 'generators': [3, 326, 492, 486], 'label': '1458.311.27.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '27.i1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.i1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559686
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.f1', '9.m1'], 'contains': ['54.j1', '81.a1', '81.i1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6980, -1, 2268, -1], 'generators': [3, 110, 492, 486], 'label': '1458.311.27.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '27.j1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.j1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559687
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.g1', '9.k1'], 'contains': ['54.k1', '81.a1', '81.j1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9433, -1, 1000, -1], 'generators': [3, 164, 990, 486], 'label': '1458.311.27.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.e1', 'old_label': '27.k1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.k1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559688
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.k2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.g1', '9.m1'], 'contains': ['54.k2', '81.a1', '81.j1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9118, -1, 1193, -1], 'generators': [3, 164, 492, 486], 'label': '1458.311.27.k2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '27.k2', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.k2', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559689
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.h1', '9.l1'], 'contains': ['54.l1', '81.a1', '81.k1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8139, -1, 613, -1], 'generators': [3, 380, 990, 486], 'label': '1458.311.27.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '27.l1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.l1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559690
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.l2', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.h1', '9.m1'], 'contains': ['54.l2', '81.a1', '81.k1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8842, -1, 1387, -1], 'generators': [3, 380, 492, 486], 'label': '1458.311.27.l2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.h1', 'old_label': '27.l2', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.l2', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559691
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.i1', '9.l1'], 'contains': ['54.m1', '81.a1', '81.l1'], 'core': '81.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6306, -1, 808, -1], 'generators': [3, 218, 492, 486], 'label': '1458.311.27.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.f1', 'old_label': '27.m1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.m1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559692
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.17', 'aut_weyl_index': 243, 'centralizer': '27.n1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.n1'], 'contains': ['54.n1', '81.b1', '81.d1', '81.o1'], 'core': '81.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [79, -1, 9919, -1], 'generators': [3, 24, 54, 486], 'label': '1458.311.27.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.n1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.n1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559693
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.b1', '9.o1'], 'contains': ['54.o1', '81.b1', '81.e1'], 'core': '81.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5381, -1, 2478, -1], 'generators': [3, 2, 24, 486], 'label': '1458.311.27.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '27.o1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.o1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559694
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.c1', '9.n1'], 'contains': ['54.p1', '81.b1', '81.f1'], 'core': '81.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [909, -1, 7084, -1], 'generators': [3, 24, 162, 486], 'label': '1458.311.27.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.p1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.p1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559695
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '3.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '243.a1', 'complements': ['486.e1', '486.f1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['6.f1', '9.b1', '9.c1', '9.h1', '9.i1', '9.l1'], 'core': '3.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [6545, 418, 3317, 6662], 'generators': [3, 486, 504, 56, 1014, 162], 'label': '1458.311.3.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.f1', '9.b1', '9.c1', '9.h1', '9.i1'], 'normalizer': '1.a1', 'old_label': '3.f1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.f1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559696
    {'ambient': '1458.311', 'aut_centralizer_order': 486, 'aut_label': '27.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.e1', '9.p1'], 'contains': ['54.q1', '81.b1', '81.h1'], 'core': '81.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2066, -1, 4223, -1], 'generators': [3, 326, 24, 486], 'label': '1458.311.27.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '27.q1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.q1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559697
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '27.r1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.f1', '9.p1'], 'contains': ['54.r1', '81.b1', '81.i1'], 'core': '81.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1690, -1, 4415, -1], 'generators': [3, 110, 24, 486], 'label': '1458.311.27.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '27.r1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.r1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559698
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.g1', '9.o1'], 'contains': ['54.s1', '81.b1', '81.j1'], 'core': '81.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [4877, -1, 3138, -1], 'generators': [3, 164, 24, 486], 'label': '1458.311.27.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '27.s1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.s1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559699
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.h1', '9.o1'], 'contains': ['54.t1', '81.b1', '81.k1'], 'core': '81.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2993, -1, 3331, -1], 'generators': [3, 380, 24, 486], 'label': '1458.311.27.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.g1', 'old_label': '27.t1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.t1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559700
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '27.u1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.i1', '9.p1'], 'contains': ['54.u1', '81.b1', '81.l1'], 'core': '81.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1502, -1, 4030, -1], 'generators': [3, 218, 24, 486], 'label': '1458.311.27.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.i1', 'old_label': '27.u1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.u1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559701
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.b1', '9.q1'], 'contains': ['54.v1', '81.c1', '81.e1'], 'core': '81.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [7664, -1, 2928, -1], 'generators': [3, 2, 1014, 486], 'label': '1458.311.27.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '27.v1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.v1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559702
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.w1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.c1', '9.r1'], 'contains': ['54.w1', '81.c1', '81.f1'], 'core': '81.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [1879, -1, 7827, -1], 'generators': [3, 1014, 162, 486], 'label': '1458.311.27.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.w1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.w1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559703
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.x1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '27.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.d1', '9.r1'], 'contains': ['54.x1', '81.c1', '81.g1'], 'core': '81.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [1315, -1, 8664, -1], 'generators': [3, 1014, 864, 486], 'label': '1458.311.27.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.x1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.x1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559704
    {'ambient': '1458.311', 'aut_centralizer_order': 243, 'aut_label': '27.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '36.12', 'aut_weyl_index': 729, 'centralizer': '9.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.e1', '9.s1'], 'contains': ['54.y1', '81.c1', '81.h1'], 'core': '81.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [2619, -1, 6117, -1], 'generators': [3, 326, 1014, 486], 'label': '1458.311.27.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '27.y1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.y1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 60559705
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.z1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '27.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.f1', '9.q1'], 'contains': ['54.z1', '81.c1', '81.i1'], 'core': '81.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [2434, -1, 6307, -1], 'generators': [3, 110, 1014, 486], 'label': '1458.311.27.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '27.z1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.z1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559706
    {'ambient': '1458.311', 'aut_centralizer_order': 3, 'aut_label': '3.g1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '243.a1', 'complements': ['486.e1', '486.f1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['6.g1', '9.b1', '9.d1', '9.g1', '9.h1', '9.o1'], 'core': '3.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [6988, 2053, 3953, 4044], 'generators': [3, 486, 24, 2, 990, 864], 'label': '1458.311.3.g1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.g1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.g1', '9.b1', '9.d1', '9.g1', '9.h1'], 'normalizer': '1.a1', 'old_label': '3.g1', 'projective_image': '243.37', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.g1', 'subgroup_fusion': None, 'weyl_group': '243.37'}
  • id: 60559707
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.ba1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.g1', '9.t1'], 'contains': ['54.ba1', '81.c1', '81.j1'], 'core': '81.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [4341, -1, 4805, -1], 'generators': [3, 164, 1014, 486], 'label': '1458.311.27.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.d1', 'old_label': '27.ba1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.ba1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559708
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.bb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '81.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['9.h1', '9.s1'], 'contains': ['54.bb1', '81.c1', '81.k1'], 'core': '81.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [2806, -1, 5000, -1], 'generators': [3, 380, 1014, 486], 'label': '1458.311.27.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '27.bb1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.bb1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559709
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '27.bc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '108.28', 'aut_weyl_index': 243, 'centralizer': '27.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.i1', '9.t1'], 'contains': ['54.bc1', '81.c1', '81.l1'], 'core': '81.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [2250, -1, 5927, -1], 'generators': [3, 218, 1014, 486], 'label': '1458.311.27.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '9.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.d1', 'old_label': '27.bc1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.bc1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559710
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '27.bd1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '36.12', 'aut_weyl_index': 729, 'centralizer': '27.bd1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['9.j1', '9.n1', '9.r1'], 'contains': ['54.bd1', '81.d1', '81.f1', '81.g1'], 'core': '243.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [449, -1, 9733, -1], 'generators': [3, 54, 162, 486], 'label': '1458.311.27.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.bd1', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.bd1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559711
    {'ambient': '1458.311', 'aut_centralizer_order': 27, 'aut_label': '27.bd2', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '18.3', 'aut_weyl_index': 1458, 'centralizer': '27.bd2', 'complements': None, 'conjugacy_class_count': 18, 'contained_in': ['9.j1', '9.n1', '9.r1'], 'contains': ['54.bd2', '81.d1', '81.f1', '81.g1'], 'core': '243.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [262, -1, 9540, -1], 'generators': [3, 204, 54, 486], 'label': '1458.311.27.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '27.bd2', 'projective_image': '243.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.bd2', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559712
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.a1', 'aut_quo_index': 24, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['18.c1', '18.j1', '18.k1', '18.l1', '18.m1', '27.a1'], 'contains': ['162.a1', '162.f1'], 'core': '54.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6607, 4202, 3623, 5737], 'generators': [990, 162], 'label': '1458.311.54.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': ['18.c1', '27.a1'], 'normal_contains': ['162.a1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '486.196', 'quotient_action_image': '27.3', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559713
    {'ambient': '1458.311', 'aut_centralizer_order': 729, 'aut_label': '54.b1', 'aut_quo_index': 2808, 'aut_stab_index': 1, 'aut_weyl_group': '36.10', 'aut_weyl_index': 729, 'centralizer': '9.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.b1', '18.c1', '18.d1', '18.e1', '18.f1', '18.g1', '18.h1', '18.i1', '27.b1'], 'contains': ['162.a1', '162.b1', '162.c1', '162.n1'], 'core': '54.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8319, 5166, 5346, 5048], 'generators': [1014, 990, 486], 'label': '1458.311.54.b1', 'mobius_quo': 0, 'mobius_sub': 27, 'normal_closure': '54.b1', 'normal_contained_in': ['18.a1', '18.b1', '18.c1', '18.d1', '18.e1', '18.f1', '18.g1', '18.h1', '18.i1', '27.b1'], 'normal_contains': ['162.a1', '162.b1', '162.c1'], 'normalizer': '1.a1', 'old_label': '54.b1', 'projective_image': '486.196', 'quotient_action_image': '9.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '54.b1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 60559714
    {'ambient': '1458.311', 'aut_centralizer_order': 162, 'aut_label': '54.c1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['18.d1', '18.n1', '18.o1', '18.p1', '27.c1'], 'contains': ['162.b1', '162.g1'], 'core': '54.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [3341, 4575, 6676, 6086], 'generators': [24, 864], 'label': '1458.311.54.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.c1', 'normal_contained_in': ['18.d1', '27.c1'], 'normal_contains': ['162.b1'], 'normalizer': '1.a1', 'old_label': '54.c1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.c1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559715
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.d1', 'aut_quo_index': 24, 'aut_stab_index': 3, 'aut_weyl_group': '108.17', 'aut_weyl_index': 243, 'centralizer': '27.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['18.a1', '18.q1', '18.r1', '18.s1', '18.t1', '27.d1'], 'contains': ['162.c1', '162.d1'], 'core': '54.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [3691, 7607, 7757, 6337], 'generators': [1014, 54], 'label': '1458.311.54.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '54.d1', 'normal_contained_in': ['18.a1', '27.d1'], 'normal_contains': ['162.c1'], 'normalizer': '1.a1', 'old_label': '54.d1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1', 'subgroup_fusion': None, 'weyl_group': '27.3'}
  • id: 60559716
    {'ambient': '1458.311', 'aut_centralizer_order': 81, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '54.8', 'aut_weyl_index': 486, 'centralizer': '27.p1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['18.a1', '18.j1', '27.e1'], 'contains': ['162.a1', '162.d1'], 'core': '162.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [4934, -1, 8494, -1], 'generators': [492, 54], 'label': '1458.311.54.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '54.e1', 'projective_image': '486.196', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1', 'subgroup_fusion': None, 'weyl_group': '9.2'}