Abstract group data - 1344.2716

Formats: - HTML - YAML - JSON - 2025-10-26T04:51:52.478463

• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 84, 'aut_gen_orders': [6, 6, 6, 6, 6, 6, 6, 12, 28, 6], 'aut_gens': [[1, 2, 8], [629, 1014, 828], [1205, 230, 1048], [581, 6, 1144], [917, 114, 1208], [385, 1014, 1308], [1, 338, 524], [917, 1234, 108], [145, 790, 1096], [241, 674, 572], [1057, 902, 1196]], 'aut_group': None, 'aut_hash': 5255589997166976132, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 64512, 'aut_permdeg': 76, 'aut_perms': [1371925242141516793580746341247666218601114641544876713515065913252134099616094560176708300149092481648803540343, 1250827666161109583713345474658474920781807033404276890642731396547534786834830730088743506928820191214880729565, 979984247360773397490926949572660171156257820950419976840585445570919572797730928010522783618933195735692089792, 640309126107309908489693027629109075071624938220251395061180255771034481639069686550924815361335229226060139514, 1809749822949201633207597956347086391564374251975337772242162997243006423705962540101016545279820346696326260053, 10219290358168062990929984351471666207673509968729263567065261686947221286102503446241592283231044382161129, 640327245864878701465646666831006698478180872847449674940128002097910037332513036212123635531279249769327999449, 1715876364497148816910294916839595282463476373052291678159124235359939833314699028208149654683281893553170473372, 415396613665191011767705238029720906292226017376634438093715856706654005600392114840185333880720962791978779356, 1784936015238607448198461359934347681453009526665815268426811926593902771128202278925950757156742567809897444276], 'aut_phi_ratio': 168.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 2, 1, 2], [4, 6, 2, 2], [4, 28, 2, 2], [4, 84, 2, 2], [6, 2, 1, 3], [7, 2, 3, 1], [8, 4, 2, 1], [8, 12, 2, 1], [12, 4, 1, 2], [12, 56, 2, 2], [14, 2, 3, 3], [21, 4, 3, 1], [24, 4, 4, 1], [28, 2, 6, 2], [28, 12, 6, 2], [42, 4, 3, 3], [56, 4, 12, 1], [56, 12, 12, 1], [84, 4, 6, 2], [168, 4, 24, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{42}.(C_2^5\\times C_6).C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '1008.906', 'autcentquo_hash': 906, 'autcentquo_nilpotent': False, 'autcentquo_order': 1008, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 2, 1], [4, 2, 2], [4, 6, 4], [4, 28, 4], [4, 84, 4], [6, 2, 3], [7, 2, 3], [8, 4, 2], [8, 12, 2], [12, 4, 2], [12, 56, 4], [14, 2, 9], [21, 4, 3], [24, 4, 4], [28, 2, 12], [28, 12, 12], [42, 4, 9], [56, 4, 12], [56, 12, 12], [84, 4, 12], [168, 4, 24]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '336.149', 'commutator_count': 1, 'commutator_label': '84.6', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '7.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 2716, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 2, 1, 2], [4, 6, 2, 2], [4, 28, 1, 2], [4, 28, 2, 1], [4, 84, 1, 2], [4, 84, 2, 1], [6, 2, 1, 3], [7, 2, 3, 1], [8, 4, 2, 1], [8, 12, 1, 2], [12, 4, 1, 2], [12, 56, 1, 2], [12, 56, 2, 1], [14, 2, 3, 3], [21, 4, 3, 1], [24, 4, 4, 1], [28, 2, 6, 2], [28, 12, 6, 2], [42, 4, 3, 3], [56, 4, 12, 1], [56, 12, 6, 2], [84, 4, 6, 2], [168, 4, 24, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 10752, 'exponent': 168, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '168.50', 'hash': 2716, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 84, 'inner_gen_orders': [2, 4, 84], 'inner_gens': [[1, 678, 780], [5, 2, 232], [1253, 1122, 8]], 'inner_hash': 149, 'inner_nilpotent': False, 'inner_order': 336, 'inner_split': None, 'inner_tex': 'S_3\\times D_{28}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 60], [4, 68]], 'label': '1344.2716', 'linC_count': 192, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 152, 'linQ_dim': 16, 'linQ_dim_count': 16, 'linR_count': 72, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C6.(C4*D28)', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 40, 'number_characteristic_subgroups': 60, 'number_conjugacy_classes': 144, 'number_divisions': 45, 'number_normal_subgroups': 74, 'number_subgroup_autclasses': 184, 'number_subgroup_classes': 216, 'number_subgroups': 1588, 'old_label': None, 'order': 1344, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 476], [6, 6], [7, 6], [8, 32], [12, 232], [14, 18], [21, 12], [24, 16], [28, 168], [42, 36], [56, 192], [84, 48], [168, 96]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 2, 2, 2, 6], 'outer_gen_pows': [0, 912, 0, 512, 1152, 0], 'outer_gens': [[1205, 1014, 444], [241, 674, 572], [389, 6, 1336], [1301, 562, 1016], [1153, 1014, 348], [1, 338, 524]], 'outer_group': '192.1543', 'outer_hash': 1543, 'outer_nilpotent': True, 'outer_order': 192, 'outer_permdeg': 192, 'outer_perms': [170442631972567820409474121584110168361480324103518494115779734776646134295950167065124572080972484180306961106520738641787277862018663995645181393144037252596629213711176385520636101522901178919606954863299864362048884453238303062997950082682952889598290466549788795298395308927680583895317370329642177669650057855688002819521221002244635331109196414245900, 16855134760526282204548595078584580423994062409134339326329989698168303528230106603071989140193509817151369618972640129989689461688890388446294251990595207204764414129482189809305649765354197330487005321833160693783486992240891621535548139720549826740450758267888863706155732601604599823393682804299969477785435826022193703490781155946668336368984911808013, 235560415682281643999854102460983861013424778946243435218066300950020445545068040542238314441623655243267114671012869240971335182469404083116549697431657966375802829719699598471219433271797405633038438101916716289785898766782998344595875318749327636436729314652019249538068917740231212503723431251000162821977308490300721454535158692136761413992920926993459, 263940028353310144980870683021382314437904982986844318855370086421971383403631108341143018976686019894394187483992620271564348749958213418726823019756777037488327456786413575697891259723195443390667462371673199125045611286543252532619055963250035885957443295186056285752901675345954047624059694259313842537891615728891270186780715977858676394247712921041939, 176998097373790704008945462156071573133113620924617921648424393349487432881101916071414008889030539541008320530083417741551260669856200775822455804094728230537494021143701832683047026834357508251018563063130638005233791383054047000520092323539602557268364870247467131365024684713669020543020229608745839736784782718544499776124728031408619126388858106361700, 11279115237680986864334149239244643242595541564496334927963150102778168667679424873159160903575299285309258988603281124640573035369132872628658065164443711538477763786423704514037196171111480496565674721892621175127956248872977533278677558853910566526654349592083604594775313006162956385542754883580662035882419247224112092522587377720457579762922599820989], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5\\times C_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 30, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [4, 7], [6, 4], [8, 2], [12, 6], [24, 6], [48, 2]], 'representations': {'PC': {'code': 79238447993863849739566662197694298823625540237545469567371374584291083, 'gens': [1, 2, 4], 'pres': [8, -2, -2, -2, 2, -2, -2, -3, -7, 5376, 10849, 41, 16226, 4050, 24963, 3723, 91, 35204, 9292, 116, 19973, 22285, 141, 46598, 14350, 222, 73735]}, 'Perm': {'d': 30, 'gens': [305292256521398230336080117967, 51373800639369815040, 409805665629298577, 539080928542276567, 669445860923048280, 798023019859233840, 1175091669949317120000, 9452345886333784620057231360000]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6.(C_4\\times D_{28})', 'transitive_degree': 1344, '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: 115831187
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 2716, 'group_order': 1344, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 115831243
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 2716, 'group_order': 1344, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 1012, 'size': 1}
  • id: 115831254
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 2716, 'group_order': 1344, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 340, 'size': 1}
  • id: 115831265
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 2716, 'group_order': 1344, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 672, 'size': 1}
  • id: 115831276
    {'aut_label': '3A', 'centralizer': '2.d1.a1', 'counter': 5, 'group_counter': 2716, 'group_order': 1344, 'label': '3A', 'order': 3, 'powers': [5, 1, 5], 'representative': 896, 'size': 2}
  • id: 115831287
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 6, 'group_counter': 2716, 'group_order': 1344, 'label': '4A', 'order': 4, 'powers': [4, 6, 6], 'representative': 676, 'size': 2}
  • id: 115831298
    {'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 7, 'group_counter': 2716, 'group_order': 1344, 'label': '4B', 'order': 4, 'powers': [4, 7, 7], 'representative': 336, 'size': 2}
  • id: 115831309
    {'aut_label': '4C1', 'centralizer': '6.b1.a1', 'counter': 8, 'group_counter': 2716, 'group_order': 1344, 'label': '4C1', 'order': 4, 'powers': [2, 9, 9], 'representative': 62, 'size': 6}
  • id: 115831320
    {'aut_label': '4C1', 'centralizer': '6.b1.a1', 'counter': 9, 'group_counter': 2716, 'group_order': 1344, 'label': '4C-1', 'order': 4, 'powers': [2, 8, 8], 'representative': 394, 'size': 6}
  • id: 115831188
    {'aut_label': '4D1', 'centralizer': '6.c1.a1', 'counter': 10, 'group_counter': 2716, 'group_order': 1344, 'label': '4D1', 'order': 4, 'powers': [3, 11, 11], 'representative': 174, 'size': 6}
  • id: 115831199
    {'aut_label': '4D1', 'centralizer': '6.c1.a1', 'counter': 11, 'group_counter': 2716, 'group_order': 1344, 'label': '4D-1', 'order': 4, 'powers': [3, 10, 10], 'representative': 1178, 'size': 6}
  • id: 115831210
    {'aut_label': '4E', 'centralizer': '28.h1.a1', 'counter': 12, 'group_counter': 2716, 'group_order': 1344, 'label': '4E', 'order': 4, 'powers': [4, 12, 12], 'representative': 1105, 'size': 28}
  • id: 115831221
    {'aut_label': '4E', 'centralizer': '28.h1.a1', 'counter': 13, 'group_counter': 2716, 'group_order': 1344, 'label': '4F', 'order': 4, 'powers': [4, 13, 13], 'representative': 577, 'size': 28}
  • id: 115831232
    {'aut_label': '4G1', 'centralizer': '28.k1.a1', 'counter': 14, 'group_counter': 2716, 'group_order': 1344, 'label': '4G1', 'order': 4, 'powers': [2, 15, 15], 'representative': 217, 'size': 28}
  • id: 115831238
    {'aut_label': '4G1', 'centralizer': '28.k1.a1', 'counter': 15, 'group_counter': 2716, 'group_order': 1344, 'label': '4G-1', 'order': 4, 'powers': [2, 14, 14], 'representative': 1229, 'size': 28}
  • id: 115831239
    {'aut_label': '4H', 'centralizer': '84.k1.a1', 'counter': 16, 'group_counter': 2716, 'group_order': 1344, 'label': '4H', 'order': 4, 'powers': [4, 16, 16], 'representative': 707, 'size': 84}
  • id: 115831240
    {'aut_label': '4H', 'centralizer': '84.k1.a1', 'counter': 17, 'group_counter': 2716, 'group_order': 1344, 'label': '4I', 'order': 4, 'powers': [4, 17, 17], 'representative': 823, 'size': 84}
  • id: 115831241
    {'aut_label': '4J1', 'centralizer': '84.h1.a1', 'counter': 18, 'group_counter': 2716, 'group_order': 1344, 'label': '4J1', 'order': 4, 'powers': [3, 19, 19], 'representative': 511, 'size': 84}
  • id: 115831242
    {'aut_label': '4J1', 'centralizer': '84.h1.a1', 'counter': 19, 'group_counter': 2716, 'group_order': 1344, 'label': '4J-1', 'order': 4, 'powers': [3, 18, 18], 'representative': 171, 'size': 84}
  • id: 115831244
    {'aut_label': '6A', 'centralizer': '2.d1.a1', 'counter': 20, 'group_counter': 2716, 'group_order': 1344, 'label': '6A', 'order': 6, 'powers': [5, 3, 20], 'representative': 788, 'size': 2}
  • id: 115831245
    {'aut_label': '6B', 'centralizer': '2.d1.a1', 'counter': 21, 'group_counter': 2716, 'group_order': 1344, 'label': '6B', 'order': 6, 'powers': [5, 2, 21], 'representative': 564, 'size': 2}
  • id: 115831246
    {'aut_label': '6C', 'centralizer': '2.d1.a1', 'counter': 22, 'group_counter': 2716, 'group_order': 1344, 'label': '6C', 'order': 6, 'powers': [5, 4, 22], 'representative': 224, 'size': 2}
  • id: 115831247
    {'aut_label': '7A1', 'centralizer': '2.c1.a1', 'counter': 23, 'group_counter': 2716, 'group_order': 1344, 'label': '7A1', 'order': 7, 'powers': [24, 25, 1], 'representative': 1152, 'size': 2}
  • id: 115831248
    {'aut_label': '7A1', 'centralizer': '2.c1.a1', 'counter': 24, 'group_counter': 2716, 'group_order': 1344, 'label': '7A2', 'order': 7, 'powers': [25, 23, 1], 'representative': 960, 'size': 2}
  • id: 115831249
    {'aut_label': '7A1', 'centralizer': '2.c1.a1', 'counter': 25, 'group_counter': 2716, 'group_order': 1344, 'label': '7A3', 'order': 7, 'powers': [23, 24, 1], 'representative': 768, 'size': 2}
  • id: 115831250
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 26, 'group_counter': 2716, 'group_order': 1344, 'label': '8A1', 'order': 8, 'powers': [7, 27, 27], 'representative': 168, 'size': 4}
  • id: 115831251
    {'aut_label': '8A1', 'centralizer': '4.f1.a1', 'counter': 27, 'group_counter': 2716, 'group_order': 1344, 'label': '8A-1', 'order': 8, 'powers': [7, 26, 26], 'representative': 1176, 'size': 4}
  • id: 115831252
    {'aut_label': '8B', 'centralizer': '12.g1.a1', 'counter': 28, 'group_counter': 2716, 'group_order': 1344, 'label': '8B', 'order': 8, 'powers': [6, 28, 28], 'representative': 678, 'size': 12}
  • id: 115831253
    {'aut_label': '8B', 'centralizer': '12.g1.a1', 'counter': 29, 'group_counter': 2716, 'group_order': 1344, 'label': '8C', 'order': 8, 'powers': [6, 29, 29], 'representative': 790, 'size': 12}
  • id: 115831255
    {'aut_label': '12A', 'centralizer': '4.f1.a1', 'counter': 30, 'group_counter': 2716, 'group_order': 1344, 'label': '12A', 'order': 12, 'powers': [22, 6, 30], 'representative': 1124, 'size': 4}
  • id: 115831256
    {'aut_label': '12B', 'centralizer': '4.f1.a1', 'counter': 31, 'group_counter': 2716, 'group_order': 1344, 'label': '12B', 'order': 12, 'powers': [22, 7, 31], 'representative': 112, 'size': 4}
  • id: 115831257
    {'aut_label': '12C', 'centralizer': '56.e1.a1', 'counter': 32, 'group_counter': 2716, 'group_order': 1344, 'label': '12C', 'order': 12, 'powers': [22, 12, 32], 'representative': 881, 'size': 56}
  • id: 115831258
    {'aut_label': '12C', 'centralizer': '56.e1.a1', 'counter': 33, 'group_counter': 2716, 'group_order': 1344, 'label': '12D', 'order': 12, 'powers': [22, 13, 33], 'representative': 801, 'size': 56}
  • id: 115831259
    {'aut_label': '12E1', 'centralizer': '56.f1.a1', 'counter': 34, 'group_counter': 2716, 'group_order': 1344, 'label': '12E1', 'order': 12, 'powers': [21, 14, 35], 'representative': 333, 'size': 56}
  • id: 115831260
    {'aut_label': '12E1', 'centralizer': '56.f1.a1', 'counter': 35, 'group_counter': 2716, 'group_order': 1344, 'label': '12E-1', 'order': 12, 'powers': [21, 15, 34], 'representative': 1113, 'size': 56}
  • id: 115831261
    {'aut_label': '14A1', 'centralizer': '2.c1.a1', 'counter': 36, 'group_counter': 2716, 'group_order': 1344, 'label': '14A1', 'order': 14, 'powers': [23, 37, 2], 'representative': 244, 'size': 2}
  • id: 115831262
    {'aut_label': '14A1', 'centralizer': '2.c1.a1', 'counter': 37, 'group_counter': 2716, 'group_order': 1344, 'label': '14A3', 'order': 14, 'powers': [25, 38, 2], 'representative': 52, 'size': 2}
  • id: 115831263
    {'aut_label': '14A1', 'centralizer': '2.c1.a1', 'counter': 38, 'group_counter': 2716, 'group_order': 1344, 'label': '14A5', 'order': 14, 'powers': [24, 36, 2], 'representative': 1204, 'size': 2}
  • id: 115831264
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 39, 'group_counter': 2716, 'group_order': 1344, 'label': '14B1', 'order': 14, 'powers': [25, 40, 3], 'representative': 724, 'size': 2}
  • id: 115831266
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 40, 'group_counter': 2716, 'group_order': 1344, 'label': '14B3', 'order': 14, 'powers': [24, 41, 3], 'representative': 148, 'size': 2}
  • id: 115831267
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 41, 'group_counter': 2716, 'group_order': 1344, 'label': '14B5', 'order': 14, 'powers': [23, 39, 3], 'representative': 916, 'size': 2}
  • id: 115831268
    {'aut_label': '14C1', 'centralizer': '2.c1.a1', 'counter': 42, 'group_counter': 2716, 'group_order': 1344, 'label': '14C1', 'order': 14, 'powers': [23, 43, 4], 'representative': 96, 'size': 2}
  • id: 115831269
    {'aut_label': '14C1', 'centralizer': '2.c1.a1', 'counter': 43, 'group_counter': 2716, 'group_order': 1344, 'label': '14C3', 'order': 14, 'powers': [25, 44, 4], 'representative': 288, 'size': 2}
  • id: 115831270
    {'aut_label': '14C1', 'centralizer': '2.c1.a1', 'counter': 44, 'group_counter': 2716, 'group_order': 1344, 'label': '14C5', 'order': 14, 'powers': [24, 42, 4], 'representative': 480, 'size': 2}
  • id: 115831271
    {'aut_label': '21A1', 'centralizer': '4.f1.a1', 'counter': 45, 'group_counter': 2716, 'group_order': 1344, 'label': '21A1', 'order': 21, 'powers': [46, 25, 5], 'representative': 704, 'size': 4}
  • id: 115831272
    {'aut_label': '21A1', 'centralizer': '4.f1.a1', 'counter': 46, 'group_counter': 2716, 'group_order': 1344, 'label': '21A2', 'order': 21, 'powers': [47, 23, 5], 'representative': 64, 'size': 4}
  • id: 115831273
    {'aut_label': '21A1', 'centralizer': '4.f1.a1', 'counter': 47, 'group_counter': 2716, 'group_order': 1344, 'label': '21A4', 'order': 21, 'powers': [45, 24, 5], 'representative': 128, 'size': 4}
  • id: 115831274
    {'aut_label': '24A1', 'centralizer': '4.f1.a1', 'counter': 48, 'group_counter': 2716, 'group_order': 1344, 'label': '24A1', 'order': 24, 'powers': [31, 26, 50], 'representative': 56, 'size': 4}
  • id: 115831275
    {'aut_label': '24A1', 'centralizer': '4.f1.a1', 'counter': 49, 'group_counter': 2716, 'group_order': 1344, 'label': '24A-1', 'order': 24, 'powers': [31, 27, 51], 'representative': 1288, 'size': 4}
  • id: 115831277
    {'aut_label': '24A1', 'centralizer': '4.f1.a1', 'counter': 50, 'group_counter': 2716, 'group_order': 1344, 'label': '24A7', 'order': 24, 'powers': [31, 27, 48], 'representative': 392, 'size': 4}
  • id: 115831278
    {'aut_label': '24A1', 'centralizer': '4.f1.a1', 'counter': 51, 'group_counter': 2716, 'group_order': 1344, 'label': '24A-7', 'order': 24, 'powers': [31, 26, 49], 'representative': 952, 'size': 4}
  • id: 115831279
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 52, 'group_counter': 2716, 'group_order': 1344, 'label': '28A1', 'order': 28, 'powers': [42, 53, 6], 'representative': 388, 'size': 2}
  • id: 115831280
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 53, 'group_counter': 2716, 'group_order': 1344, 'label': '28A3', 'order': 28, 'powers': [43, 55, 6], 'representative': 484, 'size': 2}
  • id: 115831281
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 54, 'group_counter': 2716, 'group_order': 1344, 'label': '28A5', 'order': 28, 'powers': [44, 57, 6], 'representative': 580, 'size': 2}
  • id: 115831282
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 55, 'group_counter': 2716, 'group_order': 1344, 'label': '28A9', 'order': 28, 'powers': [44, 52, 6], 'representative': 772, 'size': 2}
  • id: 115831283
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 56, 'group_counter': 2716, 'group_order': 1344, 'label': '28A11', 'order': 28, 'powers': [43, 54, 6], 'representative': 868, 'size': 2}
  • id: 115831284
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 57, 'group_counter': 2716, 'group_order': 1344, 'label': '28A13', 'order': 28, 'powers': [42, 56, 6], 'representative': 964, 'size': 2}
  • id: 115831285
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 58, 'group_counter': 2716, 'group_order': 1344, 'label': '28B1', 'order': 28, 'powers': [42, 59, 7], 'representative': 48, 'size': 2}
  • id: 115831286
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 59, 'group_counter': 2716, 'group_order': 1344, 'label': '28B3', 'order': 28, 'powers': [43, 61, 7], 'representative': 144, 'size': 2}
  • id: 115831288
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 60, 'group_counter': 2716, 'group_order': 1344, 'label': '28B5', 'order': 28, 'powers': [44, 63, 7], 'representative': 240, 'size': 2}
  • id: 115831289
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 61, 'group_counter': 2716, 'group_order': 1344, 'label': '28B9', 'order': 28, 'powers': [44, 58, 7], 'representative': 432, 'size': 2}
  • id: 115831290
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 62, 'group_counter': 2716, 'group_order': 1344, 'label': '28B11', 'order': 28, 'powers': [43, 60, 7], 'representative': 528, 'size': 2}
  • id: 115831291
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 63, 'group_counter': 2716, 'group_order': 1344, 'label': '28B13', 'order': 28, 'powers': [42, 62, 7], 'representative': 624, 'size': 2}
  • id: 115831292
    {'aut_label': '28C1', 'centralizer': '12.d1.a1', 'counter': 64, 'group_counter': 2716, 'group_order': 1344, 'label': '28C1', 'order': 28, 'powers': [36, 66, 8], 'representative': 10, 'size': 12}
  • id: 115831293
    {'aut_label': '28C1', 'centralizer': '12.d1.a1', 'counter': 65, 'group_counter': 2716, 'group_order': 1344, 'label': '28C-1', 'order': 28, 'powers': [36, 67, 9], 'representative': 222, 'size': 12}
  • id: 115831294
    {'aut_label': '28C1', 'centralizer': '12.d1.a1', 'counter': 66, 'group_counter': 2716, 'group_order': 1344, 'label': '28C3', 'order': 28, 'powers': [37, 68, 9], 'representative': 30, 'size': 12}
  • id: 115831295
    {'aut_label': '28C1', 'centralizer': '12.d1.a1', 'counter': 67, 'group_counter': 2716, 'group_order': 1344, 'label': '28C-3', 'order': 28, 'powers': [37, 69, 8], 'representative': 202, 'size': 12}
  • id: 115831296
    {'aut_label': '28C1', 'centralizer': '12.d1.a1', 'counter': 68, 'group_counter': 2716, 'group_order': 1344, 'label': '28C5', 'order': 28, 'powers': [38, 65, 8], 'representative': 74, 'size': 12}
  • id: 115831297
    {'aut_label': '28C1', 'centralizer': '12.d1.a1', 'counter': 69, 'group_counter': 2716, 'group_order': 1344, 'label': '28C-5', 'order': 28, 'powers': [38, 64, 9], 'representative': 414, 'size': 12}
  • id: 115831299
    {'aut_label': '28D1', 'centralizer': '12.d1.a1', 'counter': 70, 'group_counter': 2716, 'group_order': 1344, 'label': '28D1', 'order': 28, 'powers': [39, 72, 10], 'representative': 26, 'size': 12}
  • id: 115831300
    {'aut_label': '28D1', 'centralizer': '12.d1.a1', 'counter': 71, 'group_counter': 2716, 'group_order': 1344, 'label': '28D-1', 'order': 28, 'powers': [39, 73, 11], 'representative': 206, 'size': 12}
  • id: 115831301
    {'aut_label': '28D1', 'centralizer': '12.d1.a1', 'counter': 72, 'group_counter': 2716, 'group_order': 1344, 'label': '28D3', 'order': 28, 'powers': [40, 74, 11], 'representative': 78, 'size': 12}
  • id: 115831302
    {'aut_label': '28D1', 'centralizer': '12.d1.a1', 'counter': 73, 'group_counter': 2716, 'group_order': 1344, 'label': '28D-3', 'order': 28, 'powers': [40, 75, 10], 'representative': 410, 'size': 12}
  • id: 115831303
    {'aut_label': '28D1', 'centralizer': '12.d1.a1', 'counter': 74, 'group_counter': 2716, 'group_order': 1344, 'label': '28D5', 'order': 28, 'powers': [41, 71, 10], 'representative': 218, 'size': 12}
  • id: 115831304
    {'aut_label': '28D1', 'centralizer': '12.d1.a1', 'counter': 75, 'group_counter': 2716, 'group_order': 1344, 'label': '28D-5', 'order': 28, 'powers': [41, 70, 11], 'representative': 14, 'size': 12}
  • id: 115831305
    {'aut_label': '42A1', 'centralizer': '4.f1.a1', 'counter': 76, 'group_counter': 2716, 'group_order': 1344, 'label': '42A1', 'order': 42, 'powers': [45, 39, 20], 'representative': 20, 'size': 4}
  • id: 115831306
    {'aut_label': '42A1', 'centralizer': '4.f1.a1', 'counter': 77, 'group_counter': 2716, 'group_order': 1344, 'label': '42A5', 'order': 42, 'powers': [46, 41, 20], 'representative': 84, 'size': 4}
  • id: 115831307
    {'aut_label': '42A1', 'centralizer': '4.f1.a1', 'counter': 78, 'group_counter': 2716, 'group_order': 1344, 'label': '42A11', 'order': 42, 'powers': [47, 40, 20], 'representative': 404, 'size': 4}
  • id: 115831308
    {'aut_label': '42B1', 'centralizer': '4.f1.a1', 'counter': 79, 'group_counter': 2716, 'group_order': 1344, 'label': '42B1', 'order': 42, 'powers': [47, 38, 21], 'representative': 180, 'size': 4}
  • id: 115831310
    {'aut_label': '42B1', 'centralizer': '4.f1.a1', 'counter': 80, 'group_counter': 2716, 'group_order': 1344, 'label': '42B5', 'order': 42, 'powers': [45, 37, 21], 'representative': 692, 'size': 4}
  • id: 115831311
    {'aut_label': '42B1', 'centralizer': '4.f1.a1', 'counter': 81, 'group_counter': 2716, 'group_order': 1344, 'label': '42B11', 'order': 42, 'powers': [46, 36, 21], 'representative': 308, 'size': 4}
  • id: 115831312
    {'aut_label': '42C1', 'centralizer': '4.f1.a1', 'counter': 82, 'group_counter': 2716, 'group_order': 1344, 'label': '42C1', 'order': 42, 'powers': [45, 43, 22], 'representative': 800, 'size': 4}
  • id: 115831313
    {'aut_label': '42C1', 'centralizer': '4.f1.a1', 'counter': 83, 'group_counter': 2716, 'group_order': 1344, 'label': '42C5', 'order': 42, 'powers': [46, 42, 22], 'representative': 1312, 'size': 4}
  • id: 115831314
    {'aut_label': '42C1', 'centralizer': '4.f1.a1', 'counter': 84, 'group_counter': 2716, 'group_order': 1344, 'label': '42C11', 'order': 42, 'powers': [47, 44, 22], 'representative': 736, 'size': 4}
  • id: 115831315
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 85, 'group_counter': 2716, 'group_order': 1344, 'label': '56A1', 'order': 56, 'powers': [58, 87, 26], 'representative': 24, 'size': 4}
  • id: 115831316
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 86, 'group_counter': 2716, 'group_order': 1344, 'label': '56A-1', 'order': 56, 'powers': [58, 88, 27], 'representative': 1320, 'size': 4}
  • id: 115831317
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 87, 'group_counter': 2716, 'group_order': 1344, 'label': '56A3', 'order': 56, 'powers': [59, 91, 27], 'representative': 72, 'size': 4}
  • id: 115831318
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 88, 'group_counter': 2716, 'group_order': 1344, 'label': '56A-3', 'order': 56, 'powers': [59, 92, 26], 'representative': 1272, 'size': 4}
  • id: 115831319
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 89, 'group_counter': 2716, 'group_order': 1344, 'label': '56A5', 'order': 56, 'powers': [60, 96, 26], 'representative': 120, 'size': 4}
  • id: 115831321
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 90, 'group_counter': 2716, 'group_order': 1344, 'label': '56A-5', 'order': 56, 'powers': [60, 95, 27], 'representative': 1224, 'size': 4}
  • id: 115831322
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 91, 'group_counter': 2716, 'group_order': 1344, 'label': '56A9', 'order': 56, 'powers': [61, 86, 26], 'representative': 216, 'size': 4}
  • id: 115831323
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 92, 'group_counter': 2716, 'group_order': 1344, 'label': '56A-9', 'order': 56, 'powers': [61, 85, 27], 'representative': 1128, 'size': 4}
  • id: 115831324
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 93, 'group_counter': 2716, 'group_order': 1344, 'label': '56A11', 'order': 56, 'powers': [62, 89, 27], 'representative': 264, 'size': 4}
  • id: 115831325
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 94, 'group_counter': 2716, 'group_order': 1344, 'label': '56A-11', 'order': 56, 'powers': [62, 90, 26], 'representative': 1080, 'size': 4}
  • id: 115831326
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 95, 'group_counter': 2716, 'group_order': 1344, 'label': '56A13', 'order': 56, 'powers': [63, 93, 26], 'representative': 312, 'size': 4}
  • id: 115831327
    {'aut_label': '56A1', 'centralizer': '4.f1.a1', 'counter': 96, 'group_counter': 2716, 'group_order': 1344, 'label': '56A-13', 'order': 56, 'powers': [63, 94, 27], 'representative': 1032, 'size': 4}
  • id: 115831328
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 97, 'group_counter': 2716, 'group_order': 1344, 'label': '56B1', 'order': 56, 'powers': [52, 98, 28], 'representative': 194, 'size': 12}
  • id: 115831329
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 98, 'group_counter': 2716, 'group_order': 1344, 'label': '56B3', 'order': 56, 'powers': [53, 100, 28], 'representative': 770, 'size': 12}
  • id: 115831330
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 99, 'group_counter': 2716, 'group_order': 1344, 'label': '56B5', 'order': 56, 'powers': [54, 102, 28], 'representative': 66, 'size': 12}
  • id: 115831189
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 100, 'group_counter': 2716, 'group_order': 1344, 'label': '56B9', 'order': 56, 'powers': [55, 97, 28], 'representative': 386, 'size': 12}
  • id: 115831190
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 101, 'group_counter': 2716, 'group_order': 1344, 'label': '56B11', 'order': 56, 'powers': [56, 99, 28], 'representative': 130, 'size': 12}
  • id: 115831191
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 102, 'group_counter': 2716, 'group_order': 1344, 'label': '56B13', 'order': 56, 'powers': [57, 101, 28], 'representative': 34, 'size': 12}
  • id: 115831192
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 103, 'group_counter': 2716, 'group_order': 1344, 'label': '56C1', 'order': 56, 'powers': [53, 104, 29], 'representative': 18, 'size': 12}
  • id: 115831193
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 104, 'group_counter': 2716, 'group_order': 1344, 'label': '56C3', 'order': 56, 'powers': [55, 106, 29], 'representative': 402, 'size': 12}
  • id: 115831194
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 105, 'group_counter': 2716, 'group_order': 1344, 'label': '56C5', 'order': 56, 'powers': [57, 108, 29], 'representative': 82, 'size': 12}
  • id: 115831195
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 106, 'group_counter': 2716, 'group_order': 1344, 'label': '56C9', 'order': 56, 'powers': [52, 103, 29], 'representative': 146, 'size': 12}
  • id: 115831196
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 107, 'group_counter': 2716, 'group_order': 1344, 'label': '56C11', 'order': 56, 'powers': [54, 105, 29], 'representative': 50, 'size': 12}
  • id: 115831197
    {'aut_label': '56B1', 'centralizer': '12.g1.a1', 'counter': 108, 'group_counter': 2716, 'group_order': 1344, 'label': '56C13', 'order': 56, 'powers': [56, 107, 29], 'representative': 210, 'size': 12}
  • id: 115831198
    {'aut_label': '84A1', 'centralizer': '4.f1.a1', 'counter': 109, 'group_counter': 2716, 'group_order': 1344, 'label': '84A1', 'order': 84, 'powers': [82, 56, 30], 'representative': 68, 'size': 4}
  • id: 115831200
    {'aut_label': '84A1', 'centralizer': '4.f1.a1', 'counter': 110, 'group_counter': 2716, 'group_order': 1344, 'label': '84A5', 'order': 84, 'powers': [83, 52, 30], 'representative': 324, 'size': 4}
  • id: 115831201
    {'aut_label': '84A1', 'centralizer': '4.f1.a1', 'counter': 111, 'group_counter': 2716, 'group_order': 1344, 'label': '84A11', 'order': 84, 'powers': [84, 55, 30], 'representative': 36, 'size': 4}
  • id: 115831202
    {'aut_label': '84A1', 'centralizer': '4.f1.a1', 'counter': 112, 'group_counter': 2716, 'group_order': 1344, 'label': '84A13', 'order': 84, 'powers': [82, 53, 30], 'representative': 836, 'size': 4}
  • id: 115831203
    {'aut_label': '84A1', 'centralizer': '4.f1.a1', 'counter': 113, 'group_counter': 2716, 'group_order': 1344, 'label': '84A19', 'order': 84, 'powers': [83, 57, 30], 'representative': 132, 'size': 4}
  • id: 115831204
    {'aut_label': '84A1', 'centralizer': '4.f1.a1', 'counter': 114, 'group_counter': 2716, 'group_order': 1344, 'label': '84A25', 'order': 84, 'powers': [84, 54, 30], 'representative': 260, 'size': 4}
  • id: 115831205
    {'aut_label': '84B1', 'centralizer': '4.f1.a1', 'counter': 115, 'group_counter': 2716, 'group_order': 1344, 'label': '84B1', 'order': 84, 'powers': [83, 58, 31], 'representative': 16, 'size': 4}
  • id: 115831206
    {'aut_label': '84B1', 'centralizer': '4.f1.a1', 'counter': 116, 'group_counter': 2716, 'group_order': 1344, 'label': '84B5', 'order': 84, 'powers': [84, 60, 31], 'representative': 80, 'size': 4}
  • id: 115831207
    {'aut_label': '84B1', 'centralizer': '4.f1.a1', 'counter': 117, 'group_counter': 2716, 'group_order': 1344, 'label': '84B11', 'order': 84, 'powers': [82, 62, 31], 'representative': 176, 'size': 4}
  • id: 115831208
    {'aut_label': '84B1', 'centralizer': '4.f1.a1', 'counter': 118, 'group_counter': 2716, 'group_order': 1344, 'label': '84B13', 'order': 84, 'powers': [83, 63, 31], 'representative': 208, 'size': 4}
  • id: 115831209
    {'aut_label': '84B1', 'centralizer': '4.f1.a1', 'counter': 119, 'group_counter': 2716, 'group_order': 1344, 'label': '84B19', 'order': 84, 'powers': [84, 61, 31], 'representative': 304, 'size': 4}
  • id: 115831211
    {'aut_label': '84B1', 'centralizer': '4.f1.a1', 'counter': 120, 'group_counter': 2716, 'group_order': 1344, 'label': '84B25', 'order': 84, 'powers': [82, 59, 31], 'representative': 400, 'size': 4}
  • id: 115831212
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 121, 'group_counter': 2716, 'group_order': 1344, 'label': '168A1', 'order': 168, 'powers': [115, 85, 48], 'representative': 8, 'size': 4}
  • id: 115831213
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 122, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-1', 'order': 168, 'powers': [115, 86, 49], 'representative': 1112, 'size': 4}
  • id: 115831214
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 123, 'group_counter': 2716, 'group_order': 1344, 'label': '168A5', 'order': 168, 'powers': [116, 89, 48], 'representative': 40, 'size': 4}
  • id: 115831215
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 124, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-5', 'order': 168, 'powers': [116, 90, 49], 'representative': 184, 'size': 4}
  • id: 115831216
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 125, 'group_counter': 2716, 'group_order': 1344, 'label': '168A11', 'order': 168, 'powers': [117, 93, 50], 'representative': 88, 'size': 4}
  • id: 115831217
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 126, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-11', 'order': 168, 'powers': [117, 94, 51], 'representative': 136, 'size': 4}
  • id: 115831218
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 127, 'group_counter': 2716, 'group_order': 1344, 'label': '168A13', 'order': 168, 'powers': [118, 95, 51], 'representative': 104, 'size': 4}
  • id: 115831219
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 128, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-13', 'order': 168, 'powers': [118, 96, 50], 'representative': 1016, 'size': 4}
  • id: 115831220
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 129, 'group_counter': 2716, 'group_order': 1344, 'label': '168A19', 'order': 168, 'powers': [119, 92, 49], 'representative': 152, 'size': 4}
  • id: 115831222
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 130, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-19', 'order': 168, 'powers': [119, 91, 48], 'representative': 968, 'size': 4}
  • id: 115831223
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 131, 'group_counter': 2716, 'group_order': 1344, 'label': '168A25', 'order': 168, 'powers': [120, 88, 48], 'representative': 200, 'size': 4}
  • id: 115831224
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 132, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-25', 'order': 168, 'powers': [120, 87, 49], 'representative': 92, 'size': 4}
  • id: 115831225
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 133, 'group_counter': 2716, 'group_order': 1344, 'label': '168A31', 'order': 168, 'powers': [120, 87, 50], 'representative': 248, 'size': 4}
  • id: 115831226
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 134, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-31', 'order': 168, 'powers': [120, 88, 51], 'representative': 140, 'size': 4}
  • id: 115831227
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 135, 'group_counter': 2716, 'group_order': 1344, 'label': '168A37', 'order': 168, 'powers': [119, 91, 51], 'representative': 520, 'size': 4}
  • id: 115831228
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 136, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-37', 'order': 168, 'powers': [119, 92, 50], 'representative': 824, 'size': 4}
  • id: 115831229
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 137, 'group_counter': 2716, 'group_order': 1344, 'label': '168A43', 'order': 168, 'powers': [118, 96, 49], 'representative': 344, 'size': 4}
  • id: 115831230
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 138, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-43', 'order': 168, 'powers': [118, 95, 48], 'representative': 12, 'size': 4}
  • id: 115831231
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 139, 'group_counter': 2716, 'group_order': 1344, 'label': '168A55', 'order': 168, 'powers': [115, 86, 50], 'representative': 440, 'size': 4}
  • id: 115831233
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 140, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-55', 'order': 168, 'powers': [115, 85, 51], 'representative': 904, 'size': 4}
  • id: 115831234
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 141, 'group_counter': 2716, 'group_order': 1344, 'label': '168A61', 'order': 168, 'powers': [116, 89, 51], 'representative': 712, 'size': 4}
  • id: 115831235
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 142, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-61', 'order': 168, 'powers': [116, 90, 50], 'representative': 156, 'size': 4}
  • id: 115831236
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 143, 'group_counter': 2716, 'group_order': 1344, 'label': '168A67', 'order': 168, 'powers': [117, 93, 49], 'representative': 536, 'size': 4}
  • id: 115831237
    {'aut_label': '168A1', 'centralizer': '4.f1.a1', 'counter': 144, 'group_counter': 2716, 'group_order': 1344, 'label': '168A-67', 'order': 168, 'powers': [117, 94, 48], 'representative': 584, 'size': 4}
• gps_qchar •

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

  
  
  • id: 5723564
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5723575
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5723586
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5723597
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5723604
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 5723605
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 5723606
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 5723607
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 5723608
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 2, 0, -2, 2, -2, 2, 2, 2, 0, 0, 2, -2, 2, -2, 2, 0, 0, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 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: 5723565
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, -2, 0, -2, 2, -2, 2, 2, 2, 0, 0, -2, 2, 2, -2, 2, 0, 0, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 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: 5723566
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 2, 0, -2, 2, -2, 2, 2, 2, 0, 0, -2, 2, 2, -2, -2, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 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: 5723567
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, -2, 0, -2, 2, -2, 2, 2, 2, 0, 0, 2, -2, 2, -2, -2, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 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: 5723568
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5723569
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723570
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723571
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 0, 0, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5723572
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, -2, -2, 0, 0, -1, -1, 1, -1, -1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5723573
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, -2, -2, 0, 0, -1, -1, -1, 1, 1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5723574
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2g', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, 4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723576
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2h', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, 4, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 2, -2, 2, 4, 4, 4, 0, 0, 0, 0, -2, 2, -2, 0, 0, 2, 4, -4, -4, -4, -4, 4, -4, -4, 4, -2, -2, -2, 0, 0, 0, 0, -4, 4, -4, 4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723577
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2i', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, 4, -4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 2, -2, 2, 4, 4, 4, 0, 0, 0, 0, -2, 2, 2, 0, 0, -2, 4, -4, -4, -4, -4, 4, -4, -4, 4, -2, -2, -2, 0, 0, 0, 0, -4, 4, -4, 4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723588
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4a', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723589
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4b', 'multiplicity': 1, 'nt': [16, 32], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5723590
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4c', 'multiplicity': 1, 'nt': [16, 32], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5723591
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4d', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 4, 4, 4, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 4, -4, -4, -4, -4, 4, -4, -4, 4, -2, -2, -2, 0, 0, 0, 0, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5723578
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2j', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 5723579
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2k', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, -6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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: 5723580
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2l', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 5723581
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2m', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, -6, -6, -6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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: 5723592
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4e', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, -8, 8, -8, 8, -8, -8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723593
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4f', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, 8, -8, -8, -8, 8, -8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5723582
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2n', 'multiplicity': 6, 'nt': [28, 8], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, -12, -2, -2, -2, 0, 0, -12, 12, 12, -12, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 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: 5723583
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2o', 'multiplicity': 6, 'nt': [28, 8], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, -12, -2, -2, -2, 0, 0, 12, -12, 12, -12, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 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: 5723584
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2p', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, -12, -12, -12, 12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, -2, -2, -2, 0, 0, 0, 0, -12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723585
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2q', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, -12, -12, 12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, -2, -2, -2, 0, 0, 0, 0, -12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723594
    {'cdim': 4, 'counter': 37, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4g', 'multiplicity': 3, 'nt': [21, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -6, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -2, -2, -2, 12, 12, 0, 0, -6, -6, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -6, -6, -6, -6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5723595
    {'cdim': 4, 'counter': 38, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4h', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -6, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -2, -2, -2, -12, -12, 0, 0, -6, -6, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5723587
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.2r', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 24, -24, -4, -4, -4, 0, 0, 0, 0, -24, 24, 0, 0, 0, 0, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, -4, 4, -4, 4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723596
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4i', 'multiplicity': 6, 'nt': [84, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, -12, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 12, -4, -4, -4, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, -4, 4, 4, 4, 4, -4, 4, 4, -4, 2, 2, 2, 0, 0, 0, 0, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723598
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4j', 'multiplicity': 6, 'nt': [84, 0], 'qdim': 24, 'qvalues': [24, 24, 24, 24, -12, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, -4, -4, -4, 0, 0, 0, 0, 12, 12, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, 2, 2, 2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723599
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4k', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, 24, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5723600
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4l', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, -24, -24, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5723601
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4m', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, -12, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 12, -4, -4, -4, 0, 0, 0, 0, 12, -12, 0, 0, 0, 0, -4, 4, 4, 4, 4, -4, 4, 4, -4, 2, 2, 2, 0, 0, 0, 0, -4, 4, -4, 4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723602
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4n', 'multiplicity': 12, 'nt': [336, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, -24, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 8, -8, 8, -8, 8, 8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5723603
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1344.2716', 'group_order': 1344, 'image': None, 'label': '1344.2716.4o', 'multiplicity': 12, 'nt': [336, 0], 'qdim': 48, 'qvalues': [48, 48, -48, -48, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 24, 24, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, -8, 8, 8, 8, -8, 8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• 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: 11491843
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1344, 'label': '1344.2716.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11491899
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 672, 'label': '1344.2716.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11491910
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 672, 'label': '1344.2716.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11491921
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 672, 'label': '1344.2716.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11491932
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 672, 'label': '1344.2716.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 11491943
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 672, 'label': '1344.2716.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 11491954
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 672, 'label': '1344.2716.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 11491965
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 672, 'label': '1344.2716.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 11491976
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.c1', 'kernel_order': 336, 'label': '1344.2716.1i1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491844
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.c1', 'kernel_order': 336, 'label': '1344.2716.1i2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491855
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.d1', 'kernel_order': 336, 'label': '1344.2716.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491866
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.d1', 'kernel_order': 336, 'label': '1344.2716.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491877
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.a1', 'kernel_order': 336, 'label': '1344.2716.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491888
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.a1', 'kernel_order': 336, 'label': '1344.2716.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491894
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.b1', 'kernel_order': 336, 'label': '1344.2716.1l1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491895
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.b1', 'kernel_order': 336, 'label': '1344.2716.1l2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[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, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-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]]]}
  • id: 11491896
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 224, 'label': '1344.2716.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 11491897
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 168, 'label': '1344.2716.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491898
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 168, 'label': '1344.2716.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491900
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 20, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.a1', 'kernel_order': 112, 'label': '1344.2716.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 11491901
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 21, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 112, 'label': '1344.2716.2e', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 11491902
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 22, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 112, 'label': '1344.2716.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 11491903
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 23, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 84, 'label': '1344.2716.2g1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491904
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 24, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1.a1', 'kernel_order': 84, 'label': '1344.2716.2g2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491905
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 25, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 56, 'label': '1344.2716.2h1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 11491906
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 26, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 56, 'label': '1344.2716.2h2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 11491907
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 27, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 56, 'label': '1344.2716.2i1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 11491908
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 28, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 56, 'label': '1344.2716.2i2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 11491909
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 29, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 96, 'label': '1344.2716.2j1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 11491911
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 30, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 96, 'label': '1344.2716.2j2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]]]}
  • id: 11491912
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 31, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 96, 'label': '1344.2716.2j3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 11491913
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 32, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 48, 'label': '1344.2716.2k1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 11491914
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 33, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 48, 'label': '1344.2716.2k2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]]]}
  • id: 11491915
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 34, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 48, 'label': '1344.2716.2k3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 11491916
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 35, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 48, 'label': '1344.2716.2l1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 11491917
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 36, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 48, 'label': '1344.2716.2l2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]]]}
  • id: 11491918
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 37, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 48, 'label': '1344.2716.2l3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 11491919
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 38, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 48, 'label': '1344.2716.2m1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 11491920
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 39, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 48, 'label': '1344.2716.2m2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]]]}
  • id: 11491922
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 40, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 48, 'label': '1344.2716.2m3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 11491923
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 41, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.2716.2n1', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]]]}
  • id: 11491924
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 42, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.2716.2n2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]]]}
  • id: 11491925
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 43, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.2716.2n3', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]]]}
  • id: 11491926
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 44, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.2716.2n4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]]]}
  • id: 11491927
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 45, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.2716.2n5', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]]]}
  • id: 11491928
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 46, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.2716.2n6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]]]}
  • id: 11491929
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 47, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.2716.2o1', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]]]}
  • id: 11491930
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 48, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.2716.2o2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]]]}
  • id: 11491931
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 49, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.2716.2o3', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]]]}
  • id: 11491933
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 50, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.2716.2o4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]]]}
  • id: 11491934
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 51, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.2716.2o5', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]]]}
  • id: 11491935
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 52, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.2716.2o6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]]]}
  • id: 11491936
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 53, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.2716.2p1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]]]}
  • id: 11491937
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 54, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.2716.2p2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]]]}
  • id: 11491938
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 55, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.2716.2p3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]]]}
  • id: 11491939
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 56, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.2716.2p4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]]]}
  • id: 11491940
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 57, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.2716.2p5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 11491941
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 58, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.2716.2p6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 11491942
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 59, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.2716.2q1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]]]}
  • id: 11491944
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 60, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.2716.2q2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]]]}
  • id: 11491945
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 61, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.2716.2q3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]]]}
  • id: 11491946
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 62, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.2716.2q4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]]]}
  • id: 11491947
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 63, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.2716.2q5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 11491948
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 64, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.2716.2q6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 11491949
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 65, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r1', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]]]}
  • id: 11491959
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 74, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]]]}
  • id: 11491960
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 75, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]]]}
  • id: 11491961
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 76, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]]]}
  • id: 11491950
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 66, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]]]}
  • id: 11491951
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 67, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]]]}
  • id: 11491952
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 68, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]]]}
  • id: 11491953
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 69, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]]]}
  • id: 11491955
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 70, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]]]}
  • id: 11491956
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 71, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r7', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]]]}
  • id: 11491957
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 72, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]]]}
  • id: 11491958
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 73, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.c1.a1', 'kernel_order': 12, 'label': '1344.2716.2r9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 6], [1, 8]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]]]}
  • id: 11491962
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 56, 'counter': 77, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 28, 'label': '1344.2716.4a', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491963
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 84, 'counter': 78, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '32.44', 'image_order': 32, 'indicator': -1, 'kernel': '32.b1.a1', 'kernel_order': 42, 'label': '1344.2716.4b', 'nt': [16, 32], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491964
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 84, 'counter': 79, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '32.44', 'image_order': 32, 'indicator': -1, 'kernel': '32.a1.a1', 'kernel_order': 42, 'label': '1344.2716.4c', 'nt': [16, 32], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491966
    {'center': '24.a1.a1', 'center_index': 24, 'center_order': 56, 'counter': 80, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.c1.a1', 'kernel_order': 28, 'label': '1344.2716.4d', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491967
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 81, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [6, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '96.125', 'image_order': 96, 'indicator': 0, 'kernel': '96.b1.a1', 'kernel_order': 14, 'label': '1344.2716.4e1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]]]}
  • id: 11491968
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 82, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [6, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '96.125', 'image_order': 96, 'indicator': 0, 'kernel': '96.b1.a1', 'kernel_order': 14, 'label': '1344.2716.4e2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]]]}
  • id: 11491969
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 83, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [-6, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '96.122', 'image_order': 96, 'indicator': -1, 'kernel': '96.a1.a1', 'kernel_order': 14, 'label': '1344.2716.4f1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]]]}
  • id: 11491970
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 84, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [-6, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '96.122', 'image_order': 96, 'indicator': -1, 'kernel': '96.a1.a1', 'kernel_order': 14, 'label': '1344.2716.4f2', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[-1, 1], [-1, 3], [-1, 5], [2, 7]], [[1, 1], [1, 3], [1, 5], [-2, 7]]]}
  • id: 11491971
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 85, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 16, 'label': '1344.2716.4g1', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 11491972
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 86, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 16, 'label': '1344.2716.4g2', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]]]}
  • id: 11491973
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 87, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 16, 'label': '1344.2716.4g3', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]]]}
  • id: 11491974
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 88, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 8, 'label': '1344.2716.4h1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 11491975
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 89, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 8, 'label': '1344.2716.4h2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]]]}
  • id: 11491977
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 90, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 8, 'label': '1344.2716.4h3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]]]}
  • id: 11491978
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 91, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.2716.4i1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[2, 3], [2, 11]], [[2, 5], [2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]]]}
  • id: 11491979
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 92, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.2716.4i2', 'nt': [84, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 5], [-2, 9]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]]]}
  • id: 11491980
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 93, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.2716.4i3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[-2, 5], [-2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]]]}
  • id: 11491981
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 94, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.2716.4i4', 'nt': [84, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[2, 5], [2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]]]}
  • id: 11491982
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 95, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.2716.4i5', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 5], [2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [-2, 11]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]]]}
  • id: 11491983
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 96, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.2716.4i6', 'nt': [84, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 5], [-2, 9]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [2, 11]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]]]}
  • id: 11491984
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 97, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 4, 'label': '1344.2716.4j1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]]]}
  • id: 11491985
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 98, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 4, 'label': '1344.2716.4j2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]]]}
  • id: 11491986
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 99, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 4, 'label': '1344.2716.4j3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]]]}
  • id: 11491845
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 100, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 4, 'label': '1344.2716.4j4', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]]]}
  • id: 11491846
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 101, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 4, 'label': '1344.2716.4j5', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -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]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]]]}
  • id: 11491847
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 102, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.149', 'image_order': 336, 'indicator': 1, 'kernel': '336.a1.a1', 'kernel_order': 4, 'label': '1344.2716.4j6', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -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]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]]]}
  • id: 11491848
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 103, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.2716.4k1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491849
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 104, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.2716.4k2', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491850
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 105, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.2716.4k3', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491851
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 106, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.2716.4k4', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491852
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 107, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.2716.4k5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -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]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491853
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 108, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.2716.4k6', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -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]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491854
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 109, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1.a1', 'kernel_order': 6, 'label': '1344.2716.4l1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491856
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 110, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1.a1', 'kernel_order': 6, 'label': '1344.2716.4l2', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491857
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 111, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1.a1', 'kernel_order': 6, 'label': '1344.2716.4l3', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491858
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 112, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1.a1', 'kernel_order': 6, 'label': '1344.2716.4l4', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491859
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 113, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1.a1', 'kernel_order': 6, 'label': '1344.2716.4l5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -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]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491860
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 114, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '224.104', 'image_order': 224, 'indicator': -1, 'kernel': '224.a1.a1', 'kernel_order': 6, 'label': '1344.2716.4l6', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -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]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11491861
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 115, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.2716.4m1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]]]}
  • id: 11491862
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 116, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.2716.4m2', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]]]}
  • id: 11491863
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 117, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.2716.4m3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 2], [2, -2]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]]]}
  • id: 11491864
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 118, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.2716.4m4', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[-2, 2], [2, -2]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]]]}
  • id: 11491865
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 119, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.2716.4m5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 1], [2, -1]], [[2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[-2, 3], [2, -3]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[2, 3], [-2, -3]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]]]}
  • id: 11491867
    {'center': '168.a1.a1', 'center_index': 168, 'center_order': 8, 'counter': 120, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '336.152', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.2716.4m6', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[2, 3], [-2, -3]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[-2, 3], [2, -3]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]]]}
  • id: 11491868
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 121, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n1', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]]]}
  • id: 11491878
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 130, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n10', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 6], [-2, -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]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]]]}
  • id: 11491879
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 131, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n11', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 6], [2, -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]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]]]}
  • id: 11491880
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 132, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n12', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 6], [2, -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]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]]]}
  • id: 11491869
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 122, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n2', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]]]}
  • id: 11491870
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 123, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n3', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]]]}
  • id: 11491871
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 124, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n4', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]]]}
  • id: 11491872
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 125, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n5', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 30], [1, -30]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]]]}
  • id: 11491873
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 126, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n6', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 30], [1, -30]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]]]}
  • id: 11491874
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 127, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n7', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 30], [-1, -30]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]]]}
  • id: 11491875
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 128, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n8', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 30], [-1, -30]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]]]}
  • id: 11491876
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 129, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, 5832, 0, 6966, 0, 2808, 0, 477, 0, 36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.407', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.2716.4n9', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 24], [2, -24]], [[-2, 24], [-2, -24]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [-1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [-1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [1, 35], [2, 37], [-2, 45]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 6], [-2, -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]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 12], [-1, -12]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[1, 36], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 3], [-2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [-1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 9], [1, 19], [2, 37], [1, 47]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[1, 13], [-1, 15], [1, 41], [2, 43]], [[-1, 1], [1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [-2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [-1, 19], [-2, 37], [-1, 47]], [[2, 11], [-2, 17], [-1, 39], [1, 45]], [[-1, 3], [2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [-1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [-1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-2, 11], [2, 17], [1, 39], [-1, 45]], [[-1, 13], [1, 15], [-1, 41], [-2, 43]]]}
  • id: 11491881
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 133, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o1', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[-2, 24], [-2, -24]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 36], [-1, -36]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]]]}
  • id: 11491891
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 142, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o10', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[2, 36], [2, -36]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -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]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]]]}
  • id: 11491892
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 143, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o11', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[2, 36], [2, -36]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[2, 6], [2, -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]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]]]}
  • id: 11491893
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 144, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o12', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[2, 36], [2, -36]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -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]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[-1, 6], [-1, -6]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]]]}
  • id: 11491882
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 134, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o2', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[-2, 24], [-2, -24]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 36], [-1, -36]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]]]}
  • id: 11491883
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 135, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o3', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[-2, 24], [-2, -24]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 36], [-1, -36]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 18], [1, -18]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]]]}
  • id: 11491884
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 136, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o4', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[2, 12], [2, -12]], [[-2, 24], [-2, -24]], [[-2, 12], [-2, -12]], [[2, 36], [2, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 36], [-1, -36]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]]]}
  • id: 11491885
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 137, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o5', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[2, 12], [2, -12]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 30], [1, -30]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]]]}
  • id: 11491886
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 138, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o6', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[2, 12], [2, -12]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 30], [-1, -30]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]]]}
  • id: 11491887
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 139, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o7', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[2, 12], [2, -12]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 30], [-2, -30]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 30], [2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 30], [-1, -30]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 30], [1, -30]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]]]}
  • id: 11491889
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 140, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o8', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[2, 24], [2, -24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[2, 24], [2, -24]], [[2, 36], [2, -36]], [[2, 36], [2, -36]], [[2, 12], [2, -12]], [[-2, 36], [-2, -36]], [[-2, 24], [-2, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-1, 24], [-1, -24]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 24], [1, -24]], [[1, 36], [1, -36]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 30], [1, -30]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[1, 18], [1, -18]], [[-1, 30], [-1, -30]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]]]}
  • id: 11491890
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 141, 'cyclotomic_n': 168, 'dim': 4, 'faithful': False, 'field': [729, 0, -5832, 0, 6966, 0, -2808, 0, 477, 0, -36, 0, 1], 'group': '1344.2716', 'group_counter': 2716, 'group_order': 1344, 'image': None, 'image_isoclass': '672.418', 'image_order': 672, 'indicator': -1, 'kernel': '672.a1.a1', 'kernel_order': 2, 'label': '1344.2716.4o9', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 24], [2, -24]], [[-2, 36], [-2, -36]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 36], [2, -36]], [[-2, 36], [-2, -36]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 24], [-2, -24]], [[-2, 24], [-2, -24]], [[2, 36], [2, -36]], [[2, 24], [2, -24]], [[2, 12], [2, -12]], [[-1, 24], [-1, -24]], [[1, 36], [1, -36]], [[1, 12], [1, -12]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[-2, 1], [-2, 5], [-1, 7], [2, 13], [2, 17], [-1, 21], [-2, 25], [2, 33], [-1, 35], [2, 37], [-2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[2, 1], [2, 5], [1, 7], [-2, 13], [-2, 17], [1, 21], [2, 25], [-2, 33], [1, 35], [-2, 37], [2, 45]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 30], [-2, -30]], [[-2, 18], [-2, -18]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 30], [-2, -30]], [[2, 30], [2, -30]], [[2, 30], [2, -30]], [[2, 18], [2, -18]], [[2, 6], [2, -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]], [[-1, 12], [-1, -12]], [[-1, 24], [-1, -24]], [[1, 12], [1, -12]], [[1, 36], [1, -36]], [[-1, 12], [-1, -12]], [[1, 24], [1, -24]], [[1, 24], [1, -24]], [[-1, 36], [-1, -36]], [[-1, 36], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 30], [1, -30]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 30], [-1, -30]], [[-1, 30], [-1, -30]], [[1, 6], [1, -6]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-2, 11], [-2, 17], [1, 39], [1, 45]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 3], [2, 5], [1, 7], [-1, 15], [-1, 19], [2, 23], [1, 27], [-1, 33], [-1, 35], [-1, 39], [1, 47]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[1, 1], [1, 3], [-1, 9], [-1, 13], [1, 21], [2, 25], [-1, 29], [-2, 31], [-1, 33], [1, 41], [1, 45]], [[-1, 9], [-1, 19], [2, 37], [-1, 47]], [[1, 1], [-2, 3], [2, 11], [2, 15], [-2, 23], [-1, 27], [1, 29], [2, 31], [2, 35], [-2, 43], [-2, 47]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[1, 13], [1, 15], [1, 41], [-2, 43]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]], [[-1, 1], [-1, 3], [1, 9], [1, 13], [-1, 21], [-2, 25], [1, 29], [2, 31], [1, 33], [-1, 41], [-1, 45]], [[1, 9], [1, 19], [-2, 37], [1, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 3], [-2, 5], [-1, 7], [1, 15], [1, 19], [-2, 23], [-1, 27], [1, 33], [1, 35], [1, 39], [-1, 47]], [[-1, 1], [2, 3], [-2, 11], [-2, 15], [2, 23], [1, 27], [-1, 29], [-2, 31], [-2, 35], [2, 43], [2, 47]], [[2, 11], [2, 17], [-1, 39], [-1, 45]], [[-1, 13], [-1, 15], [-1, 41], [2, 43]]]}
• 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: 72144290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1344, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '1344.2716.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1344.2716', 'subgroup_hash': 2716, 'subgroup_order': 1344, 'subgroup_tex': 'C_6.(C_4\\times D_{28})', 'supersolvable': True, 'sylow': 0}
  • id: 72144401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.474', 'subgroup_hash': 474, 'subgroup_order': 672, 'subgroup_tex': 'C_{21}:(C_4\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 72144429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.484', 'subgroup_hash': 484, 'subgroup_order': 672, 'subgroup_tex': 'C_{21}:(C_4\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 72144440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 672, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.195', 'subgroup_hash': 195, 'subgroup_order': 672, 'subgroup_tex': 'C_{24}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 672, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.155', 'subgroup_hash': 155, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.463', 'subgroup_hash': 463, 'subgroup_order': 672, 'subgroup_tex': 'C_{42}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.104', 'subgroup_hash': 104, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.237', 'subgroup_hash': 237, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 224, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1344.2716.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '448.250', 'subgroup_hash': 250, 'subgroup_order': 448, 'subgroup_tex': 'C_4^2.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 72144291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 336, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.81', 'subgroup_hash': 81, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 336, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.174', 'subgroup_hash': 174, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 336, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.67', 'subgroup_hash': 67, 'subgroup_order': 336, 'subgroup_tex': 'C_{28}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.194', 'subgroup_hash': 194, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 336, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.99', 'subgroup_hash': 99, 'subgroup_order': 336, 'subgroup_tex': 'C_{84}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144346
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 336, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.109', 'subgroup_hash': 109, 'subgroup_order': 336, 'subgroup_tex': 'C_2\\times C_{168}', 'supersolvable': True, 'sylow': 0}
  • id: 72144357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 336, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.79', 'subgroup_hash': 79, 'subgroup_order': 336, 'subgroup_tex': 'C_6:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.39', 'subgroup_hash': 39, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.39', 'subgroup_hash': 39, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.39', 'subgroup_hash': 39, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.4.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.39', 'subgroup_hash': 39, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.41', 'subgroup_hash': 41, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 72144421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.46', 'subgroup_hash': 46, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.45', 'subgroup_hash': 45, 'subgroup_order': 336, 'subgroup_tex': 'C_{14}.D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.41', 'subgroup_hash': 41, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 72144424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 224, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '224.22', 'subgroup_hash': 22, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 112, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.63', 'subgroup_hash': 63, 'subgroup_order': 224, 'subgroup_tex': 'C_{28}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 112, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.63', 'subgroup_hash': 63, 'subgroup_order': 224, 'subgroup_tex': 'C_{28}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 112, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.46', 'subgroup_hash': 46, 'subgroup_order': 224, 'subgroup_tex': 'C_8:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.100', 'subgroup_hash': 100, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.23', 'subgroup_hash': 23, 'subgroup_order': 224, 'subgroup_tex': 'C_{56}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.22', 'subgroup_hash': 22, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1344.2716.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.348', 'subgroup_hash': 348, 'subgroup_order': 192, 'subgroup_tex': 'C_4.(C_4\\times D_6)', 'supersolvable': True, 'sylow': 0}
  • id: 72144433
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 72144434
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 168, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144435
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 168, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.34', 'subgroup_hash': 34, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.34', 'subgroup_hash': 34, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144441
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.3', 'subgroup_hash': 3, 'subgroup_order': 168, 'subgroup_tex': 'C_3:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144442
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.3', 'subgroup_hash': 3, 'subgroup_order': 168, 'subgroup_tex': 'C_3:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144443
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 84, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 84, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.37', 'subgroup_hash': 37, 'subgroup_order': 168, 'subgroup_tex': 'C_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 84, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 84, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.34', 'subgroup_hash': 34, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144449
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 84, 'counter': 48, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.6', 'subgroup_hash': 6, 'subgroup_order': 168, 'subgroup_tex': 'C_{168}', 'supersolvable': True, 'sylow': 0}
  • id: 72144450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 112, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 112, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.12', 'subgroup_hash': 12, 'subgroup_order': 112, 'subgroup_tex': 'C_{28}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144453
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 112, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.22', 'subgroup_hash': 22, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144454
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.19', 'subgroup_hash': 19, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.12', 'subgroup_hash': 12, 'subgroup_order': 112, 'subgroup_tex': 'C_{28}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.22', 'subgroup_hash': 22, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.10', 'subgroup_hash': 10, 'subgroup_order': 112, 'subgroup_tex': 'C_{28}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.11', 'subgroup_hash': 11, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.11', 'subgroup_hash': 11, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.10', 'subgroup_hash': 10, 'subgroup_order': 112, 'subgroup_tex': 'C_{28}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.12.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 96, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.22', 'subgroup_hash': 22, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.152', 'subgroup_hash': 152, 'subgroup_order': 96, 'subgroup_tex': 'C_3:C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.94', 'subgroup_hash': 94, 'subgroup_order': 96, 'subgroup_tex': 'C_3:(C_4\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 72144470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 48, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.53', 'subgroup_hash': 53, 'subgroup_order': 96, 'subgroup_tex': 'Q_8:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.150', 'subgroup_hash': 150, 'subgroup_order': 96, 'subgroup_tex': 'C_6:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.14.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.15', 'subgroup_hash': 15, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.14.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.23', 'subgroup_hash': 23, 'subgroup_order': 96, 'subgroup_tex': 'C_6.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144475
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 72144476
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 72144477
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 72144478
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 42, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144479
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144480
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 42, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144481
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144482
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144483
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 42, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144485
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144486
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 42, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.16.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1344.2716.21.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.122', 'subgroup_hash': 122, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 72144488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 56, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144496
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144497
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144500
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144501
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 95, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.24.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144504
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 28, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 72144505
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 48, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144292
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 48, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 72144293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 48, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.12', 'subgroup_hash': 12, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.28.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144307
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 114, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 72144308
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 72144309
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 72144310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 16, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.41', 'subgroup_hash': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.42.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144318
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 124, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 72144319
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 125, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144320
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 126, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144321
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144322
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144323
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 129, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 72144325
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144326
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144327
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.48.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144328
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144329
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.48.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144330
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 24, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 24, 'counter': 136, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 24, 'counter': 137, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144333
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 138, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144334
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 139, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.56.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144336
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144337
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 12, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 12, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.56.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144347
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 12, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.56.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 72144348
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 21, 'counter': 151, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '1344.2716.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.122', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 122, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 72144349
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 16, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.84.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144350
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 72144351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144355
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144356
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 72144358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 72144361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.84.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 72144365
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 167, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.122', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 122, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 72144366
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 168, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.125', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 125, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 72144367
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 169, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.88', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 88, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 72144369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 12, 'counter': 170, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 72144370
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 171, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.112.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144371
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 172, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.112.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144372
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 6, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.112.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144373
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 174, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.112.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144374
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 6, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.112.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144375
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.112.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144376
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 177, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.112.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144377
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 178, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.112.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 72144378
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.112.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144380
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.112.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144381
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 181, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.168.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144382
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 4, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144383
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 4, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144384
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144385
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144386
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144387
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144393
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 192, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.168.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144394
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 193, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.168.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.2716.168.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144397
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 4, 'counter': 196, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.168.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 72144398
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 7, 'counter': 197, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1344.2716.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.348', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 348, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.(C_4\\times D_6)', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 72144399
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 198, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.104', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 104, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 72144400
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 199, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.224.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.104', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 104, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 72144403
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 200, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.224.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.68', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 68, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 72144404
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 4, 'counter': 201, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.2716.336.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.149', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 149, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{28}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 72144405
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 202, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.336.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.147', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 147, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144406
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 203, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.336.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.152', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 152, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144407
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 2, 'counter': 204, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144408
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144409
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144410
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 207, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144411
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144412
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144414
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144415
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.2716.336.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 72144416
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 3, 'counter': 212, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1344.2716.448.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '448.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '448.250', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 250, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 448, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 72144417
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 213, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.672.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '672.418', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 418, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 72144418
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 214, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.672.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '672.407', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 407, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 72144419
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 215, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.2716.672.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '672.539', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 539, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:(C_4\\times D_{28})', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 72144420
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.2716', 'ambient_counter': 2716, 'ambient_order': 1344, 'ambient_tex': 'C_6.(C_4\\times D_{28})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 1, 'counter': 216, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1344.2716.1344.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1344.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1344.2716', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2716, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.(C_4\\times D_{28})', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U3', 'D2', 'C8'], '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: 72144290
    {'ambient': '1344.2716', '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': '336.a1.a1', 'complements': ['1344.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3363, 4566, 5362, 4472, 3771, 5504, 5183, 4773], 'generators': [1, 336, 448, 168, 672, 192, 2, 676], 'label': '1344.2716.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144291
    {'ambient': '1344.2716', 'aut_centralizer_order': 224, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '288.1043', 'aut_weyl_index': 224, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.d1.a1', '28.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6023, 7322, 2435, 2051, 6378, 1765, 2935, 1422], 'generators': [62, 448, 192, 1012, 336, 672], 'label': '1344.2716.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.b1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144292
    {'ambient': '1344.2716', 'aut_centralizer_order': 4032, 'aut_label': '28.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.a1.a1', '14.d1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.m1.a1', '84.a1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2403, 542, 6192, 5182, 2559, 4111, 5759, 3330], 'generators': [676, 672, 168, 448, 336], 'label': '1344.2716.28.b1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.f1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144293
    {'ambient': '1344.2716', 'aut_centralizer_order': 1344, 'aut_label': '28.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.51', 'aut_weyl_index': 1344, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '14.a1.a1', '14.e1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.d1.a1', '56.d1.b1', '84.g1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [368, 1452, 6877, 4270, 1397, 3257, 7110, 2638], 'generators': [2, 448, 336, 4, 672], 'label': '1344.2716.28.c1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.g1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '56.d1.a1', '56.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144294
    {'ambient': '1344.2716', 'aut_centralizer_order': 288, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2016, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.b1.a1', '14.d1.a1', '14.e1.a1'], 'contains': ['56.a1.a1', '56.e1.a1', '56.i1.a1', '56.i1.b1', '56.k1.a1', '84.c1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4235, -1, 5113, -1, 4772, -1, 5117, -1], 'generators': [1, 672, 676, 336, 448], 'label': '1344.2716.28.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144295
    {'ambient': '1344.2716', 'aut_centralizer_order': 288, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2016, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.c1.a1', '14.d1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.f1.a1', '84.d1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3933, -1, 4188, -1, 5253, -1, 3501, -1], 'generators': [701, 672, 336, 448, 1012], 'label': '1344.2716.28.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144296
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.c1.a1', '14.e1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.g1.a1', '56.j1.a1', '56.j1.b1', '56.l1.a1', '84.e1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1295, -1, 7307, -1, 3340, -1, 6683, -1], 'generators': [3, 448, 676, 336, 672], 'label': '1344.2716.28.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144297
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.b1.a1', '14.f1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.h1.a1', '84.f1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5454, -1, 3627, -1, 6101, -1, 4260, -1], 'generators': [971, 448, 336, 340, 672], 'label': '1344.2716.28.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144298
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '96.230', 'aut_weyl_index': 672, 'centralizer': '168.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '14.b1.a1'], 'contains': ['56.b1.a1', '56.e1.a1', '56.h1.a1', '84.h1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7823, -1, 1113, -1, 8618, -1, 2111, -1], 'generators': [1, 448, 62, 1012, 672], 'label': '1344.2716.28.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144299
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '96.230', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '14.c1.a1'], 'contains': ['56.b1.a1', '56.f1.a1', '56.g1.a1', '84.i1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6248, -1, 2694, -1, 7236, -1, 718, -1], 'generators': [701, 448, 62, 1012, 672], 'label': '1344.2716.28.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '28.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144300
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '96.230', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '14.b1.a1'], 'contains': ['56.c1.a1', '56.e1.a1', '56.h1.a1', '84.j1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8111, -1, 1409, -1, 8834, -1, 1928, -1], 'generators': [1, 448, 174, 340, 672], 'label': '1344.2716.28.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.j1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144301
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '28.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '96.230', 'aut_weyl_index': 672, 'centralizer': '168.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '14.c1.a1'], 'contains': ['56.c1.a1', '56.f1.a1', '56.g1.a1', '84.k1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6625, -1, 2467, -1, 7432, -1, 1284, -1], 'generators': [701, 448, 174, 1012, 672], 'label': '1344.2716.28.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '28.k1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144302
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 48, 'centralizer': '112.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.g1.a1', '8.k1.a1', '12.a1.a1', '28.d1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4339, 3313, 5128, 9665, 4611, 8672, 4862, 9029], 'generators': [1, 192, 336, 448, 676, 672], 'label': '1344.2716.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144303
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.e1.a1'], 'contains': ['56.d1.b1', '56.i1.a1', '56.j1.a1', '84.l1.a1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 9384, -1, 507, -1, 7658, -1], 'generators': [49, 448, 790, 676, 672], 'label': '1344.2716.28.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144304
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '14.e1.a1'], 'contains': ['56.d1.a1', '56.i1.a1', '56.j1.b1', '84.l1.b1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 9619, -1, 507, -1, 8900, -1], 'generators': [49, 448, 2, 676, 672], 'label': '1344.2716.28.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144305
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.c1', '14.e1.a1'], 'contains': ['56.d1.a1', '56.i1.b1', '56.j1.a1', '84.l1.c1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 9846, -1, 507, -1, 8024, -1], 'generators': [1, 448, 2, 676, 672], 'label': '1344.2716.28.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.c1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.c1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144306
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.d1', '14.e1.a1'], 'contains': ['56.d1.b1', '56.i1.b1', '56.j1.b1', '84.l1.d1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 8417, -1, 507, -1, 8328, -1], 'generators': [1, 448, 790, 676, 672], 'label': '1344.2716.28.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.d1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.d1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144307
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '96.a1.a1', '224.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8861, 9608, 604, 977, 8329, 1460, 1062, 1996], 'generators': [1012, 192, 448], 'label': '1344.2716.32.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.a1', '224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '672.418', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144325
    {'ambient': '1344.2716', 'aut_centralizer_order': 64, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.h1.a1'], 'contains': ['96.b1.a1', '336.g1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9761, -1, 234, -1, 8924, -1, 2196, -1], 'generators': [971, 192, 340], 'label': '1344.2716.48.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.g1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 72144308
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.f1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '96.b1.a1', '224.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9687, 8946, 317, 1390, 8733, 1916, 1733, 2365], 'generators': [340, 192, 448], 'label': '1344.2716.32.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.b1.a1', '224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '672.407', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144309
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '32.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.h1.a1', '16.h1.b1', '16.i1.a1', '16.i1.b1'], 'contains': ['64.a1.a1', '96.c1.a1', '224.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5168, 5748, 5380, 3146, 4269, 3075, 5497, 3305], 'generators': [672, 192, 448], 'label': '1344.2716.32.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '96.c1.a1', '224.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144310
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '42.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '14.b1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.c1.a1', '84.f1.a1', '84.h1.a1', '84.j1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5751, -1, 3493, -1, 5662, -1, 3847, -1], 'generators': [1, 62, 336], 'label': '1344.2716.42.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144311
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '14.c1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.d1.a1', '84.e1.a1', '84.i1.a1', '84.k1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [4203, -1, 3833, -1, 4386, -1, 3307, -1], 'generators': [701, 62, 336], 'label': '1344.2716.42.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144312
    {'ambient': '1344.2716', 'aut_centralizer_order': 672, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.51', 'aut_weyl_index': 2016, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '14.a1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.b1.a1', '84.g1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2049, -1, 6044, -1, 1909, -1, 6186, -1], 'generators': [2, 168], 'label': '1344.2716.42.c1.a1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '42.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 72144313
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 48, 'centralizer': '112.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '12.b1.a1', '28.e1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5000, 5588, 4419, 4333, 5404, 6907, 3624, 5586], 'generators': [701, 192, 448, 1012, 336, 672], 'label': '1344.2716.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144314
    {'ambient': '1344.2716', 'aut_centralizer_order': 144, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '14.d1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.c1.a1', '84.d1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3150, -1, 5758, -1, 3144, -1, 5477, -1], 'generators': [1, 168], 'label': '1344.2716.42.d1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '42.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144315
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '14.e1.a1', '21.a1.a1'], 'contains': ['84.c1.a1', '84.e1.a1', '84.g1.a1', '84.l1.a1', '84.l1.b1', '84.l1.c1', '84.l1.d1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1415, -1, 7941, -1, 1146, -1, 8510, -1], 'generators': [1, 2, 336], 'label': '1344.2716.42.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144316
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '42.f1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '14.f1.a1', '21.a1.a1'], 'contains': ['84.d1.a1', '84.f1.a1', '84.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3300, -1, 4555, -1, 3715, -1, 4548, -1], 'generators': [701, 2], 'label': '1344.2716.42.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144317
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '42.g1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '14.g1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.e1.a1', '84.f1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2505, -1, 6534, -1, 2752, -1, 5595, -1], 'generators': [3, 168], 'label': '1344.2716.42.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.g1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144318
    {'ambient': '1344.2716', 'aut_centralizer_order': 10752, 'aut_label': '48.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.c1.a1', '24.d1.a1', '24.e1.a1', '24.f1.a1', '24.g1.a1', '24.h1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '336.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8559, 6090, 1951, 2846, 7186, 3728, 2533, 3833], 'generators': [1012, 192, 672], 'label': '1344.2716.48.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.c1.a1', '96.b1.a1', '96.a1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144319
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '48.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1', '24.i1.a1', '24.i1.b1', '24.j1.a1', '24.j1.b1'], 'contains': ['96.c1.a1', '336.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [992, 3021, 8824, 6664, 1983, 6451, 7951, 6165], 'generators': [676, 672, 192], 'label': '1344.2716.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1'], 'normal_contains': ['96.c1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144320
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '48.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.k1.a1', '24.l1.a1', '24.m1.a1'], 'contains': ['96.c1.a1', '336.c1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4588, 4632, 5756, 5811, 3789, 5291, 5722, 5670], 'generators': [336, 672, 192], 'label': '1344.2716.48.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1'], 'normal_contains': ['96.c1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.7', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144321
    {'ambient': '1344.2716', 'aut_centralizer_order': 896, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '12.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.c1.a1'], 'contains': ['96.a1.a1', '336.d1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7501, -1, 976, -1, 8057, -1, 1174, -1], 'generators': [62, 1012, 192], 'label': '1344.2716.48.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.d1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144322
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.f1.a1'], 'contains': ['96.a1.a1', '336.e1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8174, -1, 2330, -1, 7379, -1, 779, -1], 'generators': [701, 192, 1012], 'label': '1344.2716.48.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '48.e1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 72144323
    {'ambient': '1344.2716', 'aut_centralizer_order': 896, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '12.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.d1.a1'], 'contains': ['96.b1.a1', '336.f1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9438, -1, 562, -1, 8461, -1, 1963, -1], 'generators': [174, 340, 192], 'label': '1344.2716.48.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '48.f1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144324
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '8.e1.b1', '8.i1.a1', '8.l1.a1', '12.e1.a1', '28.f1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2305, 4516, 7341, 5978, 3581, 5902, 6683, 4773], 'generators': [3, 192, 336, 672, 676, 448], 'label': '1344.2716.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '8.e1.b1', '8.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144326
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.b1.a1', '24.e1.a1', '24.k1.a1'], 'contains': ['96.c1.a1', '336.h1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5277, -1, 4971, -1, 4519, -1, 4956, -1], 'generators': [49, 192, 672], 'label': '1344.2716.48.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.h1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144327
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '24.b1.b1', '24.e1.a1', '24.k1.a1'], 'contains': ['96.c1.a1', '336.h1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5277, -1, 4641, -1, 4519, -1, 5073, -1], 'generators': [1, 192, 672], 'label': '1344.2716.48.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.h1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144328
    {'ambient': '1344.2716', 'aut_centralizer_order': 64, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.g1.a1', '24.i1.a1', '24.l1.a1'], 'contains': ['96.c1.a1', '336.i1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2337, -1, 7288, -1, 3369, -1, 6264, -1], 'generators': [3, 192, 672], 'label': '1344.2716.48.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '48.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144329
    {'ambient': '1344.2716', 'aut_centralizer_order': 64, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '24.g1.a1', '24.i1.b1', '24.l1.a1'], 'contains': ['96.c1.a1', '336.i1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2337, -1, 7464, -1, 3369, -1, 6381, -1], 'generators': [1171, 192, 672], 'label': '1344.2716.48.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '48.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144330
    {'ambient': '1344.2716', 'aut_centralizer_order': 16128, 'aut_label': '56.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1', '28.d1.a1', '28.e1.a1', '28.f1.a1', '28.g1.a1'], 'contains': ['112.a1.a1', '112.b1.a1', '112.c1.a1', '168.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4052, 3926, 5020, 4230, 4326, 3723, 5145, 3485], 'generators': [676, 336, 448, 672], 'label': '1344.2716.56.a1.a1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normal_contains': ['112.a1.a1', '112.c1.a1', '112.b1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144331
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '56.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '12.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.a1.a1', '28.h1.a1', '28.i1.a1'], 'contains': ['112.a1.a1', '112.d1.a1', '168.b1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7058, 8068, 1456, 335, 7952, 2630, 944, 2793], 'generators': [62, 672, 1012, 448], 'label': '1344.2716.56.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.b1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144332
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '56.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '12.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.a1.a1', '28.j1.a1', '28.k1.a1'], 'contains': ['112.a1.a1', '112.f1.a1', '168.c1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7946, 7145, 2005, 1934, 8204, 922, 2059, 1409], 'generators': [174, 672, 340, 448], 'label': '1344.2716.56.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': ['8.c1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144333
    {'ambient': '1344.2716', 'aut_centralizer_order': 1344, 'aut_label': '56.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '28.c1.a1', '28.l1.b1', '28.l1.c1'], 'contains': ['112.b1.a1', '168.j1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [228, 1452, 9858, 4805, 1113, 4841, 8147, 4391], 'generators': [2, 4, 672, 448], 'label': '1344.2716.56.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': ['8.f1.a1', '28.c1.a1'], 'normal_contains': ['112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144334
    {'ambient': '1344.2716', 'aut_centralizer_order': 1344, 'aut_label': '56.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '28.c1.a1', '28.l1.a1', '28.l1.d1'], 'contains': ['112.b1.a1', '168.j1.b1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [228, 1452, 8855, 5218, 1113, 4841, 7794, 4777], 'generators': [790, 4, 672, 448], 'label': '1344.2716.56.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': ['8.f1.b1', '28.c1.a1'], 'normal_contains': ['112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144335
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.j1.a1', '12.f1.a1', '28.g1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5508, 6455, 3893, 2756, 5891, 3194, 4250, 2579], 'generators': [971, 192, 340, 672, 336, 448], 'label': '1344.2716.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144336
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '56.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '28.d1.a1', '28.h1.a1', '28.j1.a1'], 'contains': ['112.a1.a1', '112.h1.a1', '112.h1.b1', '168.d1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7684, -1, 1679, -1, 6948, -1, 3234, -1], 'generators': [1, 1012, 448, 672], 'label': '1344.2716.56.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144337
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '56.f1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '56.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '28.e1.a1', '28.i1.a1', '28.k1.a1'], 'contains': ['112.a1.a1', '112.e1.a1', '168.e1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6434, -1, 2588, -1, 6450, -1, 520, -1], 'generators': [701, 672, 448, 1012], 'label': '1344.2716.56.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144338
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '168.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '28.f1.a1', '28.i1.a1', '28.k1.a1'], 'contains': ['112.a1.a1', '112.i1.a1', '112.i1.b1', '168.f1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6052, -1, 3223, -1, 5687, -1, 3881, -1], 'generators': [3, 1012, 672, 448], 'label': '1344.2716.56.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144339
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '168.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '28.g1.a1', '28.h1.a1', '28.j1.a1'], 'contains': ['112.a1.a1', '112.g1.a1', '168.g1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8451, -1, 718, -1, 9205, -1, 2586, -1], 'generators': [971, 672, 340, 448], 'label': '1344.2716.56.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144340
    {'ambient': '1344.2716', 'aut_centralizer_order': 288, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.d1.a1', '28.l1.a1', '28.l1.b1'], 'contains': ['112.b1.a1', '112.h1.a1', '168.h1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2827, -1, 9146, -1, 2237, -1, 6949, -1], 'generators': [49, 676, 448, 672], 'label': '1344.2716.56.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144341
    {'ambient': '1344.2716', 'aut_centralizer_order': 288, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.d1.a1', '28.l1.c1', '28.l1.d1'], 'contains': ['112.b1.a1', '112.h1.b1', '168.h1.b1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2827, -1, 8299, -1, 2237, -1, 7243, -1], 'generators': [1, 676, 448, 672], 'label': '1344.2716.56.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144342
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.38', 'aut_weyl_index': 1344, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.f1.a1', '28.l1.a1', '28.l1.c1'], 'contains': ['112.b1.a1', '112.i1.a1', '168.i1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [873, -1, 9723, -1, 1587, -1, 7096, -1], 'generators': [3, 676, 672, 448], 'label': '1344.2716.56.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.j1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144361
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '28.l1.a1', '42.e1.a1'], 'contains': ['168.h1.a1', '168.i1.a1', '168.j1.b1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [344, -1, 8666, -1, 1251, -1, 8263, -1], 'generators': [49, 790], 'label': '1344.2716.84.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144343
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.38', 'aut_weyl_index': 1344, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.f1.a1', '28.l1.b1', '28.l1.d1'], 'contains': ['112.b1.a1', '112.i1.b1', '168.i1.b1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [873, -1, 8456, -1, 1587, -1, 7676, -1], 'generators': [1171, 676, 672, 448], 'label': '1344.2716.56.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.j1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.b1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144344
    {'ambient': '1344.2716', 'aut_centralizer_order': 288, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '28.d1.a1'], 'contains': ['112.c1.a1', '112.h1.a1', '112.h1.b1', '168.k1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4414, -1, 4559, -1, 4692, -1, 4621, -1], 'generators': [1, 336, 448, 672], 'label': '1344.2716.56.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.k1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 72144345
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.38', 'aut_weyl_index': 1344, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '28.f1.a1'], 'contains': ['112.c1.a1', '112.i1.a1', '112.i1.b1', '168.l1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [1213, -1, 7173, -1, 3227, -1, 6509, -1], 'generators': [3, 336, 672, 448], 'label': '1344.2716.56.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144346
    {'ambient': '1344.2716', 'aut_centralizer_order': 672, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '96.231', 'aut_weyl_index': 672, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.m1.a1', '12.c1.a1', '28.b1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2833, 1309, 6114, 5155, 2503, 4955, 5972, 4005], 'generators': [676, 672, 448, 192, 168, 336], 'label': '1344.2716.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144347
    {'ambient': '1344.2716', 'aut_centralizer_order': 4032, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '28.b1.a1'], 'contains': ['112.c1.a1', '168.m1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3007, -1, 6621, -1, 2745, -1, 5976, -1], 'generators': [168, 448, 336, 672], 'label': '1344.2716.56.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '56.m1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144348
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.f1.a1', 'complements': ['21.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['192.a1.a1', '448.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9196, 8913, 441, 1363, 8038, 1895, 1767, 2382], 'generators': [448, 192], 'label': '1344.2716.64.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.c1.a1', '32.b1.a1', '32.a1.a1'], 'normal_contains': ['192.a1.a1', '448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '1344.2716', 'quotient_action_image': '4.2', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144349
    {'ambient': '1344.2716', 'aut_centralizer_order': 8064, 'aut_label': '84.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '28.b1.a1', '42.c1.a1', '42.d1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.m1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2667, 2076, 6242, 6314, 2576, 5431, 5720, 5255], 'generators': [676, 168], 'label': '1344.2716.84.a1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.a1.a1', 'normal_contained_in': ['12.c1.a1', '28.b1.a1'], 'normal_contains': ['168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '84.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144350
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '84.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '12.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '28.a1.a1', '42.a1.a1', '42.b1.a1', '42.c1.a1'], 'contains': ['168.a1.a1', '168.b1.a1', '168.c1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5661, -1, 3614, -1, 5249, -1, 3603, -1], 'generators': [62, 336], 'label': '1344.2716.84.b1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144351
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '84.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '28.d1.a1', '42.a1.a1', '42.d1.a1', '42.e1.a1'], 'contains': ['168.a1.a1', '168.d1.a1', '168.h1.a1', '168.h1.b1', '168.k1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3813, -1, 5772, -1, 3960, -1, 5545, -1], 'generators': [1, 676, 336], 'label': '1344.2716.84.c1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144352
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '84.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '28.e1.a1', '42.b1.a1', '42.d1.a1', '42.f1.a1'], 'contains': ['168.a1.a1', '168.e1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3530, -1, 4183, -1, 4133, -1, 3714, -1], 'generators': [701, 336], 'label': '1344.2716.84.d1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144353
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '28.f1.a1', '42.b1.a1', '42.e1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.f1.a1', '168.i1.a1', '168.i1.b1', '168.l1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2329, -1, 7433, -1, 2915, -1, 6774, -1], 'generators': [3, 676, 336], 'label': '1344.2716.84.e1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144354
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '28.g1.a1', '42.a1.a1', '42.f1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [5419, -1, 3874, -1, 5118, -1, 4260, -1], 'generators': [971, 336], 'label': '1344.2716.84.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144355
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '28.c1.a1', '42.c1.a1', '42.e1.a1', '42.f1.a1'], 'contains': ['168.a1.a1', '168.j1.a1', '168.j1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1696, -1, 6888, -1, 1891, -1, 7418, -1], 'generators': [2, 336], 'label': '1344.2716.84.g1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144356
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '84.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '28.h1.a1', '42.a1.a1'], 'contains': ['168.b1.a1', '168.d1.a1', '168.g1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [7498, -1, 1406, -1, 7133, -1, 3077, -1], 'generators': [1, 62], 'label': '1344.2716.84.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.a1.a1', 'old_label': '84.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144357
    {'ambient': '1344.2716', 'aut_centralizer_order': 224, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '288.1043', 'aut_weyl_index': 224, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '8.f1.b1', '12.g1.a1', '28.c1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1870, 2319, 6937, 3462, 1080, 4007, 7472, 3238], 'generators': [2, 448, 192, 4, 336, 672], 'label': '1344.2716.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '8.f1.a1', '8.f1.b1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144358
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '28.i1.a1', '42.b1.a1'], 'contains': ['168.b1.a1', '168.e1.a1', '168.f1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6237, -1, 3153, -1, 5883, -1, 1319, -1], 'generators': [701, 62], 'label': '1344.2716.84.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1.a1', 'old_label': '84.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144359
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '84.j1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '28.j1.a1', '42.a1.a1'], 'contains': ['168.c1.a1', '168.d1.a1', '168.g1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [8633, -1, 1850, -1, 7264, -1, 2965, -1], 'generators': [1, 174], 'label': '1344.2716.84.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.a1.a1', 'old_label': '84.j1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144360
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '84.k1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '84.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '28.k1.a1', '42.b1.a1'], 'contains': ['168.c1.a1', '168.e1.a1', '168.f1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6436, -1, 2828, -1, 6015, -1, 2427, -1], 'generators': [701, 174], 'label': '1344.2716.84.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1.a1', 'old_label': '84.k1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144362
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.b1', '28.l1.b1', '42.e1.a1'], 'contains': ['168.h1.a1', '168.i1.b1', '168.j1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [344, -1, 9290, -1, 1251, -1, 8842, -1], 'generators': [49, 2], 'label': '1344.2716.84.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144363
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.c1', '28.l1.c1', '42.e1.a1'], 'contains': ['168.h1.b1', '168.i1.a1', '168.j1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [344, -1, 9887, -1, 1251, -1, 8496, -1], 'generators': [1, 2], 'label': '1344.2716.84.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.c1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.c1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144364
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.d1', '28.l1.d1', '42.e1.a1'], 'contains': ['168.h1.b1', '168.i1.b1', '168.j1.b1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [344, -1, 8034, -1, 1251, -1, 8728, -1], 'generators': [1, 790], 'label': '1344.2716.84.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.d1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144365
    {'ambient': '1344.2716', 'aut_centralizer_order': 10752, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.d1.a1', '48.e1.a1'], 'contains': ['192.a1.a1', '672.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8417, 8846, 1173, 2442, 7797, 2351, 1266, 3053], 'generators': [1012, 192], 'label': '1344.2716.96.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '672.418', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.5', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144366
    {'ambient': '1344.2716', 'aut_centralizer_order': 10752, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.f1.a1', '48.g1.a1'], 'contains': ['192.a1.a1', '672.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9618, 6881, 582, 2837, 8464, 3179, 1972, 3422], 'generators': [340, 192], 'label': '1344.2716.96.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '672.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '672.407', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.5', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144367
    {'ambient': '1344.2716', 'aut_centralizer_order': 10752, 'aut_label': '96.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.h1.a1', '48.h1.b1', '48.i1.a1', '48.i1.b1'], 'contains': ['192.a1.a1', '672.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4896, 5323, 5293, 3646, 4213, 4432, 5502, 4437], 'generators': [672, 192], 'label': '1344.2716.96.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.a1.a1', '48.c1.a1', '48.b1.a1'], 'normal_contains': ['192.a1.a1', '672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.11', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144368
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.f1.a1', '336.d1.a1', '336.e1.a1', '336.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['8.d1.a1', '8.e1.a1', '8.f1.b1', '12.l1.a1', '28.l1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [879, 392, 8987, 8210, 596, 7823, 7698, 8341], 'generators': [49, 192, 676, 672, 790, 448], 'label': '1344.2716.4.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.e1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.a1', '8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144369
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '112.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1', '56.e1.a1', '56.f1.a1', '56.g1.a1', '56.h1.a1'], 'contains': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '336.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7550, 8007, 1708, 1669, 7551, 2495, 2341, 2835], 'generators': [1012, 672, 448], 'label': '1344.2716.112.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1', '56.c1.a1', '56.b1.a1'], 'normal_contains': ['224.c1.a1', '224.b1.a1', '224.a1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.5', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144370
    {'ambient': '1344.2716', 'aut_centralizer_order': 16128, 'aut_label': '112.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.a1.a1', '56.d1.a1', '56.d1.b1', '56.i1.a1', '56.i1.b1', '56.j1.a1', '56.j1.b1'], 'contains': ['224.c1.a1', '336.b1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1267, 3855, 9033, 4984, 2116, 4836, 7382, 4731], 'generators': [676, 448, 672], 'label': '1344.2716.112.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.b1.a1', 'normal_contained_in': ['16.b1.a1', '56.a1.a1', '56.d1.a1', '56.d1.b1'], 'normal_contains': ['224.c1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.a1', 'projective_image': '672.539', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.2', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144371
    {'ambient': '1344.2716', 'aut_centralizer_order': 16128, 'aut_label': '112.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '56.a1.a1', '56.k1.a1', '56.l1.a1', '56.m1.a1'], 'contains': ['224.c1.a1', '336.c1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4292, 4622, 5566, 4198, 4129, 4380, 5609, 4361], 'generators': [336, 448, 672], 'label': '1344.2716.112.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.c1.a1', 'normal_contained_in': ['16.c1.a1', '56.a1.a1'], 'normal_contains': ['224.c1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144372
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '12.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '56.b1.a1'], 'contains': ['224.a1.a1', '336.d1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7325, -1, 902, -1, 8193, -1, 945, -1], 'generators': [62, 1012, 448], 'label': '1344.2716.112.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.d1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 72144373
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '56.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '56.f1.a1'], 'contains': ['224.a1.a1', '336.e1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [8459, -1, 1971, -1, 7720, -1, 567, -1], 'generators': [701, 448, 1012], 'label': '1344.2716.112.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.k1.a1', 'old_label': '112.e1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144374
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '12.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '56.c1.a1'], 'contains': ['224.b1.a1', '336.f1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9422, -1, 306, -1, 8597, -1, 1848, -1], 'generators': [174, 340, 448], 'label': '1344.2716.112.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.f1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 72144375
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '112.g1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '168.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '56.h1.a1'], 'contains': ['224.b1.a1', '336.g1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [9636, -1, 130, -1, 9147, -1, 2078, -1], 'generators': [971, 340, 448], 'label': '1344.2716.112.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.h1.a1', 'old_label': '112.g1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.g1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 72144376
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '112.h1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '56.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '56.e1.a1', '56.i1.a1', '56.k1.a1'], 'contains': ['224.c1.a1', '336.h1.a1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4896, -1, 4458, -1, 4674, -1, 4668, -1], 'generators': [49, 448, 672], 'label': '1344.2716.112.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '112.h1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144377
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '112.h1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '56.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '56.e1.a1', '56.i1.b1', '56.k1.a1'], 'contains': ['224.c1.a1', '336.h1.b1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4896, -1, 4338, -1, 4674, -1, 4828, -1], 'generators': [1, 448, 672], 'label': '1344.2716.112.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '112.h1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.h1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144378
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '112.i1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '168.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '56.g1.a1', '56.j1.a1', '56.l1.a1'], 'contains': ['224.c1.a1', '336.i1.a1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2086, -1, 7064, -1, 3507, -1, 6028, -1], 'generators': [3, 672, 448], 'label': '1344.2716.112.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '112.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144379
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.d1.a1', '336.f1.a1', '336.e1.a1', '336.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['8.d1.a1', '8.e1.b1', '8.f1.a1', '12.l1.b1', '28.l1.b1'], 'core': '4.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [879, 392, 9592, 6773, 596, 7823, 8859, 7000], 'generators': [49, 192, 676, 672, 2, 448], 'label': '1344.2716.4.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': ['2.e1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.b1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.b1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.b1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144380
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '112.i1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '168.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '56.g1.a1', '56.j1.b1', '56.l1.a1'], 'contains': ['224.c1.a1', '336.i1.b1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2086, -1, 7359, -1, 3507, -1, 6146, -1], 'generators': [1171, 672, 448], 'label': '1344.2716.112.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '112.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.i1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144381
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '168.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1', '84.b1.a1', '84.c1.a1', '84.d1.a1', '84.e1.a1', '84.f1.a1', '84.g1.a1'], 'contains': ['336.a1.a1', '336.b1.a1', '336.c1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3288, 3330, 5267, 6143, 3960, 5871, 5353, 5200], 'generators': [676, 336], 'label': '1344.2716.168.a1.a1', 'mobius_quo': 0, 'mobius_sub': -168, 'normal_closure': '168.a1.a1', 'normal_contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1'], 'normal_contains': ['336.a1.a1', '336.c1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.13', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144382
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '168.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '56.b1.a1', '84.b1.a1', '84.h1.a1', '84.i1.a1'], 'contains': ['336.a1.a1', '336.d1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6961, -1, 2503, -1, 6755, -1, 1493, -1], 'generators': [62, 672], 'label': '1344.2716.168.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144383
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '168.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '56.c1.a1', '84.b1.a1', '84.j1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '336.f1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7790, -1, 2318, -1, 6960, -1, 2725, -1], 'generators': [174, 672], 'label': '1344.2716.168.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144384
    {'ambient': '1344.2716', 'aut_centralizer_order': 1152, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '56.e1.a1', '84.c1.a1', '84.h1.a1', '84.j1.a1'], 'contains': ['336.a1.a1', '336.h1.a1', '336.h1.b1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8066, -1, 1981, -1, 6550, -1, 3340, -1], 'generators': [1, 1012], 'label': '1344.2716.168.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '168.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144385
    {'ambient': '1344.2716', 'aut_centralizer_order': 1152, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '56.f1.a1', '84.d1.a1', '84.i1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '336.e1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6496, -1, 2776, -1, 6202, -1, 1319, -1], 'generators': [701, 672], 'label': '1344.2716.168.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '168.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144386
    {'ambient': '1344.2716', 'aut_centralizer_order': 384, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '84.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '56.g1.a1', '84.e1.a1', '84.i1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '336.i1.a1', '336.i1.b1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6194, -1, 3351, -1, 5687, -1, 3988, -1], 'generators': [3, 1012], 'label': '1344.2716.168.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1.a1', 'old_label': '168.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144387
    {'ambient': '1344.2716', 'aut_centralizer_order': 384, 'aut_label': '168.g1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '84.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '56.h1.a1', '84.f1.a1', '84.h1.a1', '84.j1.a1'], 'contains': ['336.a1.a1', '336.g1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [8697, -1, 1190, -1, 7889, -1, 2899, -1], 'generators': [971, 672], 'label': '1344.2716.168.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.a1.a1', 'old_label': '168.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144388
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '56.i1.a1', '84.c1.a1', '84.l1.a1', '84.l1.b1'], 'contains': ['336.b1.a1', '336.h1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2953, -1, 8617, -1, 2237, -1, 7665, -1], 'generators': [49, 676], 'label': '1344.2716.168.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '168.h1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144389
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '56.i1.b1', '84.c1.a1', '84.l1.c1', '84.l1.d1'], 'contains': ['336.b1.a1', '336.h1.b1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2953, -1, 7963, -1, 2237, -1, 7849, -1], 'generators': [1, 676], 'label': '1344.2716.168.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '168.h1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144390
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.d1.a1', '336.f1.a1', '336.e1.a1', '336.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['8.d1.b1', '8.e1.a1', '8.f1.a1', '12.l1.c1', '28.l1.c1'], 'core': '4.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [879, 392, 9927, 7492, 596, 7823, 7983, 6328], 'generators': [1, 192, 676, 672, 2, 448], 'label': '1344.2716.4.h1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': ['2.e1.a1'], 'normal_contains': ['8.d1.b1', '8.e1.a1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.c1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.c1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144391
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '56.j1.a1', '84.e1.a1', '84.l1.a1', '84.l1.c1'], 'contains': ['336.b1.a1', '336.i1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [865, -1, 8939, -1, 1725, -1, 7757, -1], 'generators': [3, 676], 'label': '1344.2716.168.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '168.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144392
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.b1', '56.j1.b1', '84.e1.a1', '84.l1.b1', '84.l1.d1'], 'contains': ['336.b1.a1', '336.i1.b1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [865, -1, 8220, -1, 1725, -1, 8053, -1], 'generators': [1171, 676], 'label': '1344.2716.168.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '168.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 72144393
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '56.d1.a1', '84.g1.a1', '84.l1.b1', '84.l1.c1'], 'contains': ['336.b1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [446, -1, 9931, -1, 1251, -1, 8426, -1], 'generators': [2], 'label': '1344.2716.168.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.j1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144394
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.b1', '56.d1.b1', '84.g1.a1', '84.l1.a1', '84.l1.d1'], 'contains': ['336.b1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [446, -1, 8439, -1, 1251, -1, 8223, -1], 'generators': [790], 'label': '1344.2716.168.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.j1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144395
    {'ambient': '1344.2716', 'aut_centralizer_order': 576, 'aut_label': '168.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '56.k1.a1', '84.c1.a1'], 'contains': ['336.c1.a1', '336.h1.a1', '336.h1.b1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4676, -1, 4760, -1, 4395, -1, 5178, -1], 'generators': [1, 336], 'label': '1344.2716.168.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '168.k1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144396
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '168.l1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.a1', '56.l1.a1', '84.e1.a1'], 'contains': ['336.c1.a1', '336.i1.a1', '336.i1.b1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [2503, -1, 7449, -1, 3227, -1, 6501, -1], 'generators': [3, 336], 'label': '1344.2716.168.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1.a1', 'old_label': '168.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.l1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144397
    {'ambient': '1344.2716', 'aut_centralizer_order': 8064, 'aut_label': '168.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1.a1', '56.m1.a1', '84.a1.a1'], 'contains': ['336.c1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2839, -1, 6735, -1, 2660, -1, 5874, -1], 'generators': [168], 'label': '1344.2716.168.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '84.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '168.m1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144398
    {'ambient': '1344.2716', 'aut_centralizer_order': 10752, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.c1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'contains': ['1344.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8957, 7725, 741, 2613, 7803, 2806, 1967, 3338], 'generators': [192], 'label': '1344.2716.192.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.c1.a1', '96.b1.a1', '96.a1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '1344.2716', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.22', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144399
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '224.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.a1.a1', '112.d1.a1', '112.e1.a1'], 'contains': ['448.a1.a1', '672.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8473, 8819, 1310, 1323, 7917, 1481, 1067, 2047], 'generators': [1012, 448], 'label': '1344.2716.224.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '224.a1.a1', 'normal_contained_in': ['32.a1.a1', '112.a1.a1'], 'normal_contains': ['448.a1.a1', '672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.a1.a1', 'projective_image': '672.418', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.5', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144400
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '224.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '112.a1.a1', '112.f1.a1', '112.g1.a1'], 'contains': ['448.a1.a1', '672.b1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9428, 8354, 159, 1646, 8593, 2765, 1870, 2718], 'generators': [340, 448], 'label': '1344.2716.224.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '224.b1.a1', 'normal_contained_in': ['32.b1.a1', '112.a1.a1'], 'normal_contains': ['448.a1.a1', '672.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.b1.a1', 'projective_image': '672.407', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.7', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144401
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.e1.a1', '4.i1.a1', '4.k1.a1', '6.b1.a1', '14.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5895, 7582, 3384, 2846, 5998, 3624, 3961, 3250], 'generators': [1, 448, 336, 1012, 62, 192, 672], 'label': '1344.2716.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144402
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.f1.a1', '336.d1.a1', '336.e1.a1', '336.g1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['8.d1.b1', '8.e1.b1', '8.f1.b1', '12.l1.d1', '28.l1.d1'], 'core': '4.h1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [879, 392, 8521, 8928, 596, 7823, 8230, 7670], 'generators': [1, 192, 676, 672, 790, 448], 'label': '1344.2716.4.h1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': ['2.e1.a1'], 'normal_contains': ['8.d1.b1', '8.e1.b1', '8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.d1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.d1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144403
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '224.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1', '112.h1.a1', '112.h1.b1', '112.i1.a1', '112.i1.b1'], 'contains': ['448.a1.a1', '672.c1.a1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4887, 5638, 4954, 3542, 4334, 3593, 5399, 3757], 'generators': [672, 448], 'label': '1344.2716.224.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '224.c1.a1', 'normal_contained_in': ['32.c1.a1', '112.a1.a1', '112.c1.a1', '112.b1.a1'], 'normal_contains': ['448.a1.a1', '672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.13', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144404
    {'ambient': '1344.2716', 'aut_centralizer_order': 64512, 'aut_label': '336.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1', '168.b1.a1', '168.c1.a1', '168.d1.a1', '168.e1.a1', '168.f1.a1', '168.g1.a1'], 'contains': ['672.a1.a1', '672.b1.a1', '672.c1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7476, 6212, 2081, 3272, 6857, 3992, 2629, 4081], 'generators': [1012, 672], 'label': '1344.2716.336.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '336.a1.a1', 'normal_contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1'], 'normal_contains': ['672.c1.a1', '672.b1.a1', '672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '1.1', 'quotient_action_kernel': '336.149', 'quotient_action_kernel_order': 336, 'quotient_fusion': None, 'short_label': '336.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144405
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '336.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '112.b1.a1', '168.a1.a1', '168.h1.a1', '168.h1.b1', '168.i1.a1', '168.i1.b1', '168.j1.a1', '168.j1.b1'], 'contains': ['672.c1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1267, 3225, 8503, 5951, 2116, 5654, 7803, 5179], 'generators': [676], 'label': '1344.2716.336.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '336.b1.a1', 'normal_contained_in': ['48.b1.a1', '112.b1.a1', '168.a1.a1'], 'normal_contains': ['672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.b1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.30', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144406
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '336.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '112.c1.a1', '168.a1.a1', '168.k1.a1', '168.l1.a1', '168.m1.a1'], 'contains': ['672.c1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4528, 4412, 6275, 5092, 3960, 5069, 5609, 4844], 'generators': [336], 'label': '1344.2716.336.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '336.c1.a1', 'normal_contained_in': ['48.c1.a1', '112.c1.a1', '168.a1.a1'], 'normal_contains': ['672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.32', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144407
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '6.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '112.d1.a1', '168.b1.a1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7160, -1, 1004, -1, 7676, -1, 1164, -1], 'generators': [62], 'label': '1344.2716.336.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '336.d1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144408
    {'ambient': '1344.2716', 'aut_centralizer_order': 1152, 'aut_label': '336.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '112.e1.a1', '168.e1.a1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [8214, -1, 2595, -1, 7471, -1, 904, -1], 'generators': [701], 'label': '1344.2716.336.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.k1.a1', 'old_label': '336.e1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144409
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '336.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '6.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '112.f1.a1', '168.c1.a1'], 'contains': ['672.b1.a1'], 'core': '672.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9285, -1, 645, -1, 8344, -1, 2074, -1], 'generators': [174], 'label': '1344.2716.336.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '336.f1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144410
    {'ambient': '1344.2716', 'aut_centralizer_order': 384, 'aut_label': '336.g1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '84.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '112.g1.a1', '168.g1.a1'], 'contains': ['672.b1.a1'], 'core': '672.b1.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [9582, -1, 316, -1, 8786, -1, 2177, -1], 'generators': [971], 'label': '1344.2716.336.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.h1.a1', 'old_label': '336.g1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144411
    {'ambient': '1344.2716', 'aut_centralizer_order': 1152, 'aut_label': '336.h1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '28.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.a1', '112.h1.a1', '168.d1.a1', '168.h1.a1', '168.k1.a1'], 'contains': ['672.c1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5087, -1, 4664, -1, 4453, -1, 4989, -1], 'generators': [49], 'label': '1344.2716.336.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '336.h1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144412
    {'ambient': '1344.2716', 'aut_centralizer_order': 1152, 'aut_label': '336.h1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '28.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.b1', '112.h1.b1', '168.d1.a1', '168.h1.b1', '168.k1.a1'], 'contains': ['672.c1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5087, -1, 4408, -1, 4453, -1, 5146, -1], 'generators': [1], 'label': '1344.2716.336.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '336.h1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144413
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.g1.a1', '8.j1.a1', '12.h1.a1', '28.h1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7923, -1, 1529, -1, 8284, -1, 2395, -1], 'generators': [1, 192, 1012, 672, 62, 448], 'label': '1344.2716.4.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144414
    {'ambient': '1344.2716', 'aut_centralizer_order': 384, 'aut_label': '336.i1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '84.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1.a1', '112.i1.a1', '168.f1.a1', '168.i1.a1', '168.l1.a1'], 'contains': ['672.c1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [2466, -1, 7248, -1, 3438, -1, 6100, -1], 'generators': [3], 'label': '1344.2716.336.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1.a1', 'old_label': '336.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144415
    {'ambient': '1344.2716', 'aut_centralizer_order': 384, 'aut_label': '336.i1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '84.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1.b1', '112.i1.b1', '168.f1.a1', '168.i1.b1', '168.l1.a1'], 'contains': ['672.c1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [2466, -1, 7628, -1, 3438, -1, 6264, -1], 'generators': [1171], 'label': '1344.2716.336.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1.a1', 'old_label': '336.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.i1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144416
    {'ambient': '1344.2716', 'aut_centralizer_order': 32256, 'aut_label': '448.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.d1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '224.a1.a1', '224.b1.a1', '224.c1.a1'], 'contains': ['1344.a1.a1'], 'core': '448.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8772, 8846, 685, 1607, 7917, 2061, 1870, 2718], 'generators': [448], 'label': '1344.2716.448.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '448.a1.a1', 'normal_contained_in': ['64.a1.a1', '224.c1.a1', '224.b1.a1', '224.a1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '448.a1.a1', 'projective_image': '1344.2716', 'quotient_action_image': '2.1', 'quotient_action_kernel': '224.22', 'quotient_action_kernel_order': 224, 'quotient_fusion': None, 'short_label': '448.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144417
    {'ambient': '1344.2716', 'aut_centralizer_order': 64512, 'aut_label': '672.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '224.a1.a1', '336.a1.a1', '336.d1.a1', '336.e1.a1'], 'contains': ['1344.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8339, 8305, 1451, 2194, 7685, 2433, 1215, 3036], 'generators': [1012], 'label': '1344.2716.672.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '672.a1.a1', 'normal_contained_in': ['96.a1.a1', '224.a1.a1', '336.a1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '672.a1.a1', 'projective_image': '672.418', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.418', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144418
    {'ambient': '1344.2716', 'aut_centralizer_order': 64512, 'aut_label': '672.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '224.b1.a1', '336.a1.a1', '336.f1.a1', '336.g1.a1'], 'contains': ['1344.a1.a1'], 'core': '672.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9380, 7372, 588, 2869, 8404, 3179, 2067, 3640], 'generators': [340], 'label': '1344.2716.672.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '672.b1.a1', 'normal_contained_in': ['96.b1.a1', '224.b1.a1', '336.a1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '672.b1.a1', 'projective_image': '672.407', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.407', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144419
    {'ambient': '1344.2716', 'aut_centralizer_order': 64512, 'aut_label': '672.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '224.c1.a1', '336.a1.a1', '336.b1.a1', '336.c1.a1', '336.h1.a1', '336.h1.b1', '336.i1.a1', '336.i1.b1'], 'contains': ['1344.a1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4978, 5428, 5054, 3772, 4273, 4209, 5451, 4257], 'generators': [672], 'label': '1344.2716.672.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '672.c1.a1', 'normal_contained_in': ['96.c1.a1', '224.c1.a1', '336.a1.a1', '336.c1.a1', '336.b1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '672.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.539', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144420
    {'ambient': '1344.2716', 'aut_centralizer_order': None, 'aut_label': '1344.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '448.a1.a1', '672.a1.a1', '672.b1.a1', '672.c1.a1'], 'contains': [], 'core': '1344.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8684, 7736, 760, 2442, 7803, 2806, 1967, 3338], 'generators': [], 'label': '1344.2716.1344.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1344.a1.a1', 'normal_contained_in': ['192.a1.a1', '448.a1.a1', '672.c1.a1', '672.b1.a1', '672.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1344.a1.a1', 'projective_image': '1344.2716', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 72144421
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '8.i1.a1', '12.i1.a1', '28.i1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7091, -1, 3111, -1, 6909, -1, 786, -1], 'generators': [701, 192, 1012, 672, 62, 448], 'label': '1344.2716.4.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.j1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144422
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.g1.a1', '8.j1.a1', '12.j1.a1', '28.j1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8385, -1, 1893, -1, 8736, -1, 2092, -1], 'generators': [1, 192, 340, 672, 174, 448], 'label': '1344.2716.4.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.k1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144423
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '8.h1.a1', '8.i1.a1', '12.k1.a1', '28.k1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7488, -1, 2729, -1, 7347, -1, 1390, -1], 'generators': [701, 192, 1012, 672, 174, 448], 'label': '1344.2716.4.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.l1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144424
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '112.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '42.d1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3628, 3169, 5583, 9414, 3144, 9485, 5277, 9687], 'generators': [1, 192, 4, 336, 168, 672], 'label': '1344.2716.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144425
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.f1.a1', '12.h1.a1', '12.j1.a1', '42.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5810, -1, 3550, -1, 5675, -1, 4067, -1], 'generators': [1, 192, 336, 1012, 62, 672], 'label': '1344.2716.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144426
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.e1.a1', '12.i1.a1', '12.k1.a1', '42.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5346, -1, 4047, -1, 4863, -1, 3394, -1], 'generators': [701, 192, 336, 1012, 62, 672], 'label': '1344.2716.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144427
    {'ambient': '1344.2716', 'aut_centralizer_order': 112, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1543', 'aut_weyl_index': 336, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.d1.a1', '12.g1.a1', '42.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2586, -1, 5956, -1, 2003, -1, 6397, -1], 'generators': [2, 672, 192, 4, 168, 336], 'label': '1344.2716.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 72144428
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.e1.a1', '12.g1.a1', '12.l1.a1', '12.l1.b1', '12.l1.c1', '12.l1.d1', '42.e1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2049, -1, 7741, -1, 1373, -1, 8551, -1], 'generators': [1, 192, 336, 676, 2, 672], 'label': '1344.2716.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144429
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1', '4.j1.a1', '4.l1.a1', '6.c1.a1', '14.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5274, 6467, 3789, 4472, 5264, 5504, 3284, 4773], 'generators': [701, 448, 336, 1012, 62, 192, 672], 'label': '1344.2716.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144430
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.f1.a1', '12.g1.a1', '42.f1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3907, -1, 4619, -1, 3880, -1, 4626, -1], 'generators': [701, 192, 1012, 336, 2, 672], 'label': '1344.2716.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144431
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.e1.a1', '12.f1.a1', '42.g1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3397, -1, 6524, -1, 2743, -1, 5769, -1], 'generators': [3, 192, 676, 336, 168, 672], 'label': '1344.2716.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144432
    {'ambient': '1344.2716', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1536.408526564', 'aut_weyl_index': 42, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '14.d1.a1', '14.e1.a1', '14.f1.a1', '14.g1.a1', '21.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1571, -1, 5440, -1, 3771, -1, 5183, -1], 'generators': [1, 672, 336, 2, 448, 168, 676], 'label': '1344.2716.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144433
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '24.a1.a1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5004, 5285, 5125, 3956, 4160, 4955, 4925, 4014], 'generators': [676, 448, 192, 336, 672], 'label': '1344.2716.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.e1.a1', '4.d1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '24.a1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144434
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 448, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.i1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '24.c1.a1', '56.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7245, 8421, 1397, 461, 9071, 1460, 535, 1183], 'generators': [62, 192, 1012, 672, 448], 'label': '1344.2716.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144435
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 448, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.k1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '24.d1.a1', '56.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8300, 7350, 1712, 1332, 9363, 456, 1054, 369], 'generators': [174, 192, 340, 672, 448], 'label': '1344.2716.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '56.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144436
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '112.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.a1', '4.h1.b1'], 'contains': ['16.b1.a1', '16.h1.a1', '24.b1.a1', '56.i1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2966, 1469, 9588, 7972, 1649, 8134, 7323, 8488], 'generators': [49, 448, 672, 676, 192], 'label': '1344.2716.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1', '4.h1.b1', '4.h1.a1'], 'normal_contains': ['16.b1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144437
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '112.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.c1', '4.h1.d1'], 'contains': ['16.b1.a1', '16.h1.b1', '24.b1.b1', '56.i1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2966, 1469, 8153, 8722, 1649, 8134, 7841, 7788], 'generators': [1, 448, 672, 676, 192], 'label': '1344.2716.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.b1.a1', '4.h1.d1', '4.h1.c1'], 'normal_contains': ['16.b1.a1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144438
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2016.eo', 'aut_weyl_index': 32, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.a1', '4.h1.c1'], 'contains': ['16.b1.a1', '16.i1.a1', '24.i1.a1', '56.j1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1094, 3794, 9396, 7329, 687, 7393, 7506, 7188], 'generators': [3, 672, 448, 676, 192], 'label': '1344.2716.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.d1.a1', '4.h1.a1', '4.h1.c1'], 'normal_contains': ['16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144439
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2016.eo', 'aut_weyl_index': 32, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.b1', '4.h1.d1'], 'contains': ['16.b1.a1', '16.i1.b1', '24.i1.b1', '56.j1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1094, 3794, 8571, 6794, 687, 7393, 8176, 5305], 'generators': [1171, 672, 448, 676, 192], 'label': '1344.2716.8.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.d1.a1', '4.h1.b1', '4.h1.d1'], 'normal_contains': ['16.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144440
    {'ambient': '1344.2716', 'aut_centralizer_order': 56, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.153311', 'aut_weyl_index': 56, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '6.d1.a1', '14.a1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2562, 1087, 6025, 1965, 2393, 2609, 6066, 2428], 'generators': [2, 672, 192, 4, 168, 448, 336], 'label': '1344.2716.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144441
    {'ambient': '1344.2716', 'aut_centralizer_order': 224, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '144.195', 'aut_weyl_index': 448, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.h1.b1', '4.h1.c1'], 'contains': ['16.b1.a1', '24.j1.a1', '56.d1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [585, 547, 9827, 5061, 112, 5809, 9296, 4705], 'generators': [2, 4, 672, 192, 448], 'label': '1344.2716.8.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.g1.a1', '4.h1.b1', '4.h1.c1'], 'normal_contains': ['16.b1.a1', '56.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144442
    {'ambient': '1344.2716', 'aut_centralizer_order': 224, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '144.195', 'aut_weyl_index': 448, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.h1.a1', '4.h1.d1'], 'contains': ['16.b1.a1', '24.j1.b1', '56.d1.b1'], 'core': '8.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [585, 547, 9202, 5811, 112, 5809, 9083, 5905], 'generators': [790, 4, 672, 192, 448], 'label': '1344.2716.8.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': ['4.g1.a1', '4.h1.a1', '4.h1.d1'], 'normal_contains': ['16.b1.a1', '56.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144443
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.216', 'aut_weyl_index': 192, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.h1.a1', '16.h1.b1', '24.e1.a1', '56.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8014, -1, 1955, -1, 7935, -1, 2690, -1], 'generators': [1, 448, 672, 1012, 192], 'label': '1344.2716.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 72144444
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.216', 'aut_weyl_index': 192, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '24.f1.a1', '56.f1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7531, -1, 2413, -1, 7684, -1, 305, -1], 'generators': [701, 448, 1012, 672, 192], 'label': '1344.2716.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 72144445
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 64, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '16.i1.b1', '24.g1.a1', '56.g1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6787, -1, 3223, -1, 6588, -1, 4060, -1], 'generators': [3, 672, 448, 1012, 192], 'label': '1344.2716.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144446
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 64, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.g1.a1', '24.h1.a1', '56.h1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8729, -1, 854, -1, 9655, -1, 1728, -1], 'generators': [971, 340, 448, 672, 192], 'label': '1344.2716.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.j1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144447
    {'ambient': '1344.2716', 'aut_centralizer_order': 48, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.c1.a1', '16.h1.a1', '16.h1.b1', '24.k1.a1', '56.k1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4561, -1, 4746, -1, 5001, -1, 4714, -1], 'generators': [1, 448, 672, 336, 192], 'label': '1344.2716.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.k1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 72144448
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2016.eo', 'aut_weyl_index': 32, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.c1.a1', '16.i1.a1', '16.i1.b1', '24.l1.a1', '56.l1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2232, -1, 7180, -1, 3556, -1, 6500, -1], 'generators': [3, 672, 448, 336, 192], 'label': '1344.2716.8.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144449
    {'ambient': '1344.2716', 'aut_centralizer_order': 672, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.c1.a1', '24.m1.a1', '56.m1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3235, -1, 6465, -1, 2363, -1, 6362, -1], 'generators': [168, 192, 336, 448, 672], 'label': '1344.2716.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.m1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144450
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.b1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '24.e1.a1', '24.k1.a1', '84.c1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4038, 3147, 5604, 9046, 3912, 9615, 5311, 9687], 'generators': [1, 336, 672, 676, 192], 'label': '1344.2716.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144451
    {'ambient': '1344.2716', 'aut_centralizer_order': 12, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '112.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.f1.a1', '6.a1.a1', '14.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3591, 3512, 5158, 7788, 4079, 8636, 4929, 7310], 'generators': [1, 672, 448, 4, 168, 192, 336], 'label': '1344.2716.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.f1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144452
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1', '6.c1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.f1.a1', '84.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4399, 4147, 4399, 7186, 4579, 8874, 3684, 9088], 'generators': [701, 1012, 672, 336, 192], 'label': '1344.2716.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144453
    {'ambient': '1344.2716', 'aut_centralizer_order': 1344, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.m1.a1', '84.a1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3595, 2236, 6342, 7994, 2167, 6663, 5967, 6597], 'generators': [676, 192, 336, 168, 672], 'label': '1344.2716.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144454
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '12.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '24.d1.a1', '84.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5853, -1, 3669, -1, 5888, -1, 3115, -1], 'generators': [62, 192, 1012, 336, 672], 'label': '1344.2716.12.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144455
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.c1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.g1.a1', '24.i1.a1', '24.i1.b1', '24.l1.a1', '84.e1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2548, -1, 7592, -1, 2948, -1, 6897, -1], 'generators': [3, 336, 672, 676, 192], 'label': '1344.2716.12.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144456
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.h1.a1', '84.f1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5454, -1, 4015, -1, 5469, -1, 4413, -1], 'generators': [971, 340, 672, 336, 192], 'label': '1344.2716.12.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144457
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.j1.a1', '24.j1.b1', '84.g1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1924, -1, 7043, -1, 899, -1, 8720, -1], 'generators': [2, 192, 4, 336, 672], 'label': '1344.2716.12.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144458
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 96, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.b1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.h1.a1', '84.h1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7655, -1, 1718, -1, 8187, -1, 2477, -1], 'generators': [1, 1012, 672, 62, 192], 'label': '1344.2716.12.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144459
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 96, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.c1.a1'], 'contains': ['24.c1.a1', '24.f1.a1', '24.g1.a1', '84.i1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6261, -1, 3271, -1, 6824, -1, 853, -1], 'generators': [701, 1012, 672, 62, 192], 'label': '1344.2716.12.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.i1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144460
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 96, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '6.b1.a1'], 'contains': ['24.d1.a1', '24.e1.a1', '24.h1.a1', '84.j1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8670, -1, 1912, -1, 8403, -1, 2294, -1], 'generators': [1, 340, 672, 174, 192], 'label': '1344.2716.12.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.j1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144461
    {'ambient': '1344.2716', 'aut_centralizer_order': 16, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 96, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.c1.a1'], 'contains': ['24.d1.a1', '24.f1.a1', '24.g1.a1', '84.k1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7070, -1, 2903, -1, 7040, -1, 1498, -1], 'generators': [701, 1012, 672, 174, 192], 'label': '1344.2716.12.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.k1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144462
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.d1.a1', '4.g1.a1', '4.h1.a1', '4.h1.b1', '4.h1.c1', '4.h1.d1', '6.e1.a1', '14.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2053, 2264, 8097, 6773, 1665, 7466, 7584, 6362], 'generators': [1, 448, 336, 676, 2, 192, 672], 'label': '1344.2716.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.d1.a1', '4.g1.a1', '4.h1.b1', '4.h1.a1', '4.h1.d1', '4.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144463
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.e1.a1'], 'contains': ['24.b1.a1', '24.i1.a1', '24.j1.b1', '84.l1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1033, -1, 8888, -1, 328, -1, 9479, -1], 'generators': [49, 676, 672, 790, 192], 'label': '1344.2716.12.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144464
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '6.e1.a1'], 'contains': ['24.b1.a1', '24.i1.b1', '24.j1.a1', '84.l1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1033, -1, 9049, -1, 328, -1, 9936, -1], 'generators': [49, 676, 672, 2, 192], 'label': '1344.2716.12.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.b1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144465
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.c1', '6.e1.a1'], 'contains': ['24.b1.b1', '24.i1.a1', '24.j1.a1', '84.l1.c1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1033, -1, 9754, -1, 328, -1, 9631, -1], 'generators': [1, 676, 672, 2, 192], 'label': '1344.2716.12.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.c1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.c1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144466
    {'ambient': '1344.2716', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.d1', '6.e1.a1'], 'contains': ['24.b1.b1', '24.i1.b1', '24.j1.b1', '84.l1.d1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [1033, -1, 7991, -1, 328, -1, 9783, -1], 'generators': [1, 676, 672, 790, 192], 'label': '1344.2716.12.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.d1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.d1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144467
    {'ambient': '1344.2716', 'aut_centralizer_order': 336, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 336, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '42.c1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [633, 590, 6106, 3344, 2283, 2578, 6159, 2080], 'generators': [2, 448, 672, 168, 4, 336], 'label': '1344.2716.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 72144468
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.d1.a1', '28.g1.a1', '28.h1.a1', '28.j1.a1', '42.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5742, -1, 2567, -1, 6107, -1, 3854, -1], 'generators': [1, 448, 672, 62, 336, 1012], 'label': '1344.2716.14.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144469
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.e1.a1', '28.f1.a1', '28.i1.a1', '28.k1.a1', '42.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3940, -1, 3678, -1, 5124, -1, 3172, -1], 'generators': [701, 448, 672, 62, 336, 1012], 'label': '1344.2716.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144470
    {'ambient': '1344.2716', 'aut_centralizer_order': 72, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 504, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.d1.a1', '28.e1.a1', '42.d1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2668, -1, 5177, -1, 4159, -1, 5076, -1], 'generators': [1, 672, 336, 168, 448, 4], 'label': '1344.2716.14.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144471
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.d1.a1', '28.f1.a1', '28.l1.a1', '28.l1.b1', '28.l1.c1', '28.l1.d1', '42.e1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [263, -1, 8116, -1, 1665, -1, 7224, -1], 'generators': [1, 448, 672, 2, 336, 676], 'label': '1344.2716.14.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144472
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.e1.a1', '28.g1.a1', '42.f1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3329, -1, 4441, -1, 4385, -1, 4411, -1], 'generators': [701, 448, 672, 2, 1012, 336], 'label': '1344.2716.14.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144473
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.e1.a1', '4.g1.a1', '6.f1.a1', '14.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4019, 5456, 4563, 3650, 4373, 6451, 4519, 5540], 'generators': [701, 448, 1012, 336, 2, 192, 672], 'label': '1344.2716.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144474
    {'ambient': '1344.2716', 'aut_centralizer_order': 24, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.f1.a1', '28.g1.a1', '42.g1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1768, -1, 6320, -1, 3345, -1, 5599, -1], 'generators': [3, 448, 672, 168, 676, 336], 'label': '1344.2716.14.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.a1', 'subgroup_fusion': None, 'weyl_group': '48.38'}
  • id: 72144475
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '16.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.g1.a1', '8.h1.a1', '8.i1.a1', '8.j1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1', '112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8200, 7775, 1163, 1229, 8704, 1776, 1848, 2101], 'generators': [1012, 448, 192, 672], 'label': '1344.2716.16.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.b1.a1'], 'normal_contains': ['32.c1.a1', '32.b1.a1', '32.a1.a1', '48.a1.a1', '112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144476
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '16.b1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.c1.a1', '48.b1.a1', '112.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1249, 3368, 9398, 6283, 1722, 6011, 7561, 5724], 'generators': [676, 192, 672, 448], 'label': '1344.2716.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.b1', '8.e1.a1', '8.f1.a1', '8.f1.b1'], 'normal_contains': ['32.c1.a1', '48.b1.a1', '112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '672.539', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144477
    {'ambient': '1344.2716', 'aut_centralizer_order': 2688, 'aut_label': '16.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.a1', '8.l1.a1', '8.m1.a1'], 'contains': ['32.c1.a1', '48.c1.a1', '112.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4755, 5351, 5606, 3700, 3789, 4375, 5863, 4014], 'generators': [336, 192, 672, 448], 'label': '1344.2716.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.c1.a1', '48.c1.a1', '112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '672.539', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144478
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '72.48', 'aut_weyl_index': 896, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.a1.a1', '48.d1.a1', '112.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7515, -1, 562, -1, 9456, -1, 309, -1], 'generators': [62, 1012, 448, 192], 'label': '1344.2716.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144479
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1'], 'contains': ['32.a1.a1', '48.e1.a1', '112.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8884, -1, 1591, -1, 8455, -1, 95, -1], 'generators': [701, 1012, 192, 448], 'label': '1344.2716.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '16.e1.a1', 'projective_image': '672.418', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144480
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '72.48', 'aut_weyl_index': 896, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1'], 'contains': ['32.b1.a1', '48.f1.a1', '112.f1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9692, -1, 337, -1, 9708, -1, 1485, -1], 'generators': [174, 340, 448, 192], 'label': '1344.2716.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.f1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 72144481
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '504.162', 'aut_weyl_index': 128, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1'], 'contains': ['32.b1.a1', '48.g1.a1', '112.g1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9919, -1, 69, -1, 9924, -1, 1668, -1], 'generators': [971, 448, 192, 340], 'label': '1344.2716.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.g1.a1', 'projective_image': '672.407', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 72144482
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.g1.a1', '8.k1.a1'], 'contains': ['32.c1.a1', '48.h1.a1', '112.h1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5500, -1, 4663, -1, 4922, -1, 4427, -1], 'generators': [49, 672, 192, 448], 'label': '1344.2716.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.h1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 72144483
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '112.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.g1.a1', '8.k1.a1'], 'contains': ['32.c1.a1', '48.h1.b1', '112.h1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5500, -1, 4437, -1, 4922, -1, 4815, -1], 'generators': [1, 672, 192, 448], 'label': '1344.2716.16.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.h1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.b1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 72144484
    {'ambient': '1344.2716', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.e1.a1', '4.f1.a1', '6.g1.a1', '14.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2955, 4566, 6539, 5294, 3492, 4556, 5734, 4005], 'generators': [3, 448, 676, 336, 168, 192, 672], 'label': '1344.2716.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.e1.a1', '4.d1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '336.149'}
  • id: 72144485
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '504.162', 'aut_weyl_index': 128, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.i1.a1', '8.l1.a1'], 'contains': ['32.c1.a1', '48.i1.a1', '112.i1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2140, -1, 7124, -1, 3387, -1, 6221, -1], 'generators': [3, 448, 192, 672], 'label': '1344.2716.16.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144486
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '504.162', 'aut_weyl_index': 128, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '8.i1.a1', '8.l1.a1'], 'contains': ['32.c1.a1', '48.i1.b1', '112.i1.b1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2140, -1, 7338, -1, 3387, -1, 6374, -1], 'generators': [1171, 448, 192, 672], 'label': '1344.2716.16.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.b1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 72144487
    {'ambient': '1344.2716', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '256.56083', 'aut_weyl_index': 252, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '42.b1.a1', '42.c1.a1', '42.d1.a1', '42.e1.a1', '42.f1.a1', '42.g1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2223, -1, 5793, -1, 2944, -1, 5447, -1], 'generators': [1, 2, 168], 'label': '1344.2716.21.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '21.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 72144488
    {'ambient': '1344.2716', 'aut_centralizer_order': 5376, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '168.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4405, 4147, 5302, 6916, 3599, 6663, 5353, 6253], 'generators': [676, 192, 672, 336], 'label': '1344.2716.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.b1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '336.149', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144489
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '56.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1', '12.l1.a1', '12.l1.b1'], 'contains': ['48.b1.a1', '48.h1.a1', '168.h1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3096, 2799, 8912, 7540, 2063, 8134, 7912, 8488], 'generators': [49, 672, 192, 676], 'label': '1344.2716.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.d1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144490
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '56.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.a1.a1', '12.l1.c1', '12.l1.d1'], 'contains': ['48.b1.a1', '48.h1.b1', '168.h1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3096, 2799, 7871, 8587, 2063, 8134, 8380, 7788], 'generators': [1, 672, 192, 676], 'label': '1344.2716.24.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.d1.b1', '12.a1.a1'], 'normal_contains': ['48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144491
    {'ambient': '1344.2716', 'aut_centralizer_order': 896, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '12.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.d1.a1', '12.h1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '168.b1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7138, -1, 2259, -1, 7457, -1, 1155, -1], 'generators': [62, 192, 1012, 672], 'label': '1344.2716.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144492
    {'ambient': '1344.2716', 'aut_centralizer_order': 896, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '12.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.d1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '168.c1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8237, -1, 2039, -1, 7703, -1, 2270, -1], 'generators': [174, 192, 340, 672], 'label': '1344.2716.24.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144493
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.a1.a1', '12.h1.a1', '12.j1.a1'], 'contains': ['48.a1.a1', '48.h1.a1', '48.h1.b1', '168.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8501, -1, 1816, -1, 6699, -1, 3445, -1], 'generators': [1, 672, 192, 1012], 'label': '1344.2716.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144494
    {'ambient': '1344.2716', 'aut_centralizer_order': 192, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.b1.a1', '12.i1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.e1.a1', '168.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6876, -1, 2947, -1, 6202, -1, 731, -1], 'generators': [701, 1012, 192, 672], 'label': '1344.2716.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.f1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144495
    {'ambient': '1344.2716', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1', '21.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3363, -1, 5649, -1, 3144, -1, 5447, -1], 'generators': [1, 672, 168, 676, 2, 192, 336], 'label': '1344.2716.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '112.29'}
  • id: 72144496
    {'ambient': '1344.2716', 'aut_centralizer_order': 64, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.e1.a1', '12.i1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.i1.a1', '48.i1.b1', '168.f1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6431, -1, 3442, -1, 5436, -1, 4094, -1], 'generators': [3, 672, 192, 1012], 'label': '1344.2716.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.g1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144497
    {'ambient': '1344.2716', 'aut_centralizer_order': 64, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '168.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.f1.a1', '12.h1.a1', '12.j1.a1'], 'contains': ['48.a1.a1', '48.g1.a1', '168.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9066, -1, 1232, -1, 8953, -1, 2799, -1], 'generators': [971, 340, 192, 672], 'label': '1344.2716.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.h1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144498
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.e1.a1', '12.l1.a1', '12.l1.c1'], 'contains': ['48.b1.a1', '48.i1.a1', '168.i1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1107, -1, 9296, -1, 1448, -1, 8029, -1], 'generators': [3, 672, 192, 676], 'label': '1344.2716.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.i1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144499
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.e1.a1', '12.l1.b1', '12.l1.d1'], 'contains': ['48.b1.a1', '48.i1.b1', '168.i1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1107, -1, 8267, -1, 1448, -1, 8612, -1], 'generators': [1171, 672, 192, 676], 'label': '1344.2716.24.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.i1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.b1', 'subgroup_fusion': None, 'weyl_group': '56.5'}
  • id: 72144500
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.g1.a1', '12.l1.b1', '12.l1.c1'], 'contains': ['48.b1.a1', '168.j1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [887, -1, 9586, -1, 899, -1, 9182, -1], 'generators': [2, 4, 672, 192], 'label': '1344.2716.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.j1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144501
    {'ambient': '1344.2716', 'aut_centralizer_order': 448, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '12.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '12.g1.a1', '12.l1.a1', '12.l1.d1'], 'contains': ['48.b1.a1', '168.j1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [887, -1, 8679, -1, 899, -1, 9020, -1], 'generators': [790, 4, 672, 192], 'label': '1344.2716.24.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.j1.b1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 72144502
    {'ambient': '1344.2716', 'aut_centralizer_order': 96, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '56.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.a1.a1'], 'contains': ['48.c1.a1', '48.h1.a1', '48.h1.b1', '168.k1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4870, -1, 4764, -1, 4519, -1, 4981, -1], 'generators': [1, 672, 192, 336], 'label': '1344.2716.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.k1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144503
    {'ambient': '1344.2716', 'aut_centralizer_order': 32, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '168.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.e1.a1'], 'contains': ['48.c1.a1', '48.i1.a1', '48.i1.b1', '168.l1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2406, -1, 7539, -1, 3088, -1, 6627, -1], 'generators': [3, 672, 192, 336], 'label': '1344.2716.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.l1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 72144504
    {'ambient': '1344.2716', 'aut_centralizer_order': 1344, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.c1.a1'], 'contains': ['48.c1.a1', '168.m1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3480, -1, 6654, -1, 2407, -1, 6089, -1], 'generators': [168, 336, 672, 192], 'label': '1344.2716.24.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '24.m1.a1', 'projective_image': '672.539', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 72144505
    {'ambient': '1344.2716', 'aut_centralizer_order': 1344, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.51', 'aut_weyl_index': 1344, 'centralizer': '24.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '14.c1.a1'], 'contains': ['56.a1.a1', '56.b1.a1', '56.c1.a1', '84.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5681, 6400, 3074, 2483, 6316, 2392, 2904, 1938], 'generators': [62, 448, 336, 1012, 672], 'label': '1344.2716.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '56.c1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '336.149', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}