Abstract group data - 1344.8738

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 84, 'aut_gen_orders': [14, 14, 6, 2, 2, 4, 6, 84, 12], 'aut_gens': [[1, 2, 4, 224], [1, 130, 4, 1232], [113, 803, 677, 1232], [785, 162, 1076, 224], [113, 2, 620, 1120], [785, 818, 612, 1120], [785, 787, 845, 1232], [113, 890, 44, 1120], [785, 186, 1180, 336], [785, 171, 1213, 1120]], 'aut_group': None, 'aut_hash': 2121436511852193631, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 258048, 'aut_permdeg': 160, 'aut_perms': [342906011369171562033954521938554985601957975504566000030952712549335734636881129851699990485637663445406151759108607235042485605874408943587900661240488275285008461927875433067481064427132138370375749114588227935183564555141272175457433493437365070305453225678268417016079132300134704, 77184662643784264146680829086333738935263263516654173511419733749619874700005739528167835446192067243048102228327192499971715801808787512994699311027798682914135255822844630012040060743064076216072745673597035828342677215189182529617208507257763387612219081204287230551592751125672132, 307536620730170784668664970864475533989642929602135953778519726972538165559157603096316485339070691186583462374948046646250555889882076611364253916816378452026811203832000666824668239007562720264460169419440968406500097845241567658756871148426067902765415254137846167398935067726515979, 356576634353358844403558877012815321726948323161621339512391538448979103878467868821545328175017596280833597448684787691008872309055550164961574033125591028682121026261370131120652244613024315377172108100991704889060818801482085649393071527693951641717951992920725630257580986287804074, 31410878843918519229828966039509603343960339192054635050243389839815251710393614533199967684187466032337740785569515203019655554706066784460396789631004166418178245687343759961221242907145532786969629100790879871338590351146348185685664841788513131553852918181803893821671844554218788, 411248652971741614041229440511284063069642116983738788651132432382316829957293135250450210733058214437590179611004117330643485899862704156486288223018586348928952649798500088108458314375006624463115788640332284244086733873110100019147612455610608352793142736519036841100955620227320036, 385766418702965439033848357895949741145834412302490890055706474471479349345304505093574000534531587997807857458166673290483470881708251189095232400691078404264002282384238745851374883637945195477305884873158665843528211703624737558213223534607336211305966004684405096510497725410263781, 404558514328673547242357920838390694774218535540688956694336210776084906251313672576296778404564855881859471791780476369464869824349656606224897914649513254246459369539512986839639280154946415443991915327227626035556403961009226887890122853337962681523019349358682313131364511091652236, 462991360470428782189704369597715627528693309313673919846844428519275361150502528697624740378077822094384891257729406248290679013081334226767671830182124227501683235690902178502972916852824314317529731416371307788549306560906510418424364468476847716596447121480409459568368416333605751], 'aut_phi_ratio': 672.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [2, 28, 4, 1], [2, 84, 2, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 2, 2, 1], [4, 84, 2, 1], [6, 2, 1, 1], [6, 2, 2, 1], [6, 2, 4, 1], [6, 28, 8, 1], [7, 2, 3, 1], [8, 12, 4, 1], [12, 4, 1, 2], [12, 4, 2, 1], [14, 2, 3, 1], [14, 2, 6, 1], [14, 4, 6, 1], [21, 4, 3, 1], [28, 2, 6, 2], [28, 4, 6, 1], [42, 4, 3, 1], [42, 4, 6, 1], [42, 4, 12, 1], [56, 12, 24, 1], [84, 4, 6, 2], [84, 4, 12, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{42}.(C_2^5\\times C_6).C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '128.1578', 'autcent_hash': 1578, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': None, 'autcentquo_hash': 5451351369529179689, 'autcentquo_nilpotent': False, 'autcentquo_order': 2016, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^3\\times S_3\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 28, 4], [2, 84, 2], [3, 2, 1], [4, 2, 4], [4, 84, 2], [6, 2, 7], [6, 28, 8], [7, 2, 3], [8, 12, 4], [12, 4, 4], [14, 2, 9], [14, 4, 6], [21, 4, 3], [28, 2, 12], [28, 4, 6], [42, 4, 21], [56, 12, 24], [84, 4, 24]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '336.158', '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': 8738, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['672.456', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 28, 1, 4], [2, 84, 1, 2], [3, 2, 1, 1], [4, 2, 1, 4], [4, 84, 1, 2], [6, 2, 1, 3], [6, 2, 2, 2], [6, 28, 2, 4], [7, 2, 3, 1], [8, 12, 1, 4], [12, 4, 1, 4], [14, 2, 3, 3], [14, 4, 3, 2], [21, 4, 3, 1], [28, 2, 6, 2], [28, 4, 3, 2], [42, 4, 3, 3], [42, 4, 6, 2], [56, 12, 6, 4], [84, 4, 6, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3734640, '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': '4.1', 'frattini_quotient': '336.219', 'hash': 8738, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 84, 'inner_gen_orders': [2, 2, 28, 3], 'inner_gens': [[1, 2, 116, 224], [1, 2, 220, 224], [113, 10, 4, 1120], [1, 2, 452, 224]], 'inner_hash': 158, 'inner_nilpotent': False, 'inner_order': 336, 'inner_split': False, 'inner_tex': 'C_6:D_{28}', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 68], [4, 66]], 'label': '1344.8738', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D84:C2^3', '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': 34, 'number_characteristic_subgroups': 44, 'number_conjugacy_classes': 150, 'number_divisions': 60, 'number_normal_subgroups': 160, 'number_subgroup_autclasses': 244, 'number_subgroup_classes': 596, 'number_subgroups': 5364, 'old_label': None, 'order': 1344, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 287], [3, 2], [4, 176], [6, 238], [7, 6], [8, 48], [12, 16], [14, 42], [21, 12], [28, 48], [42, 84], [56, 288], [84, 96]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [6, 4, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 56, 0, 0, 0, 0], 'outer_gens': [[673, 674, 860, 224], [673, 674, 676, 336], [1, 842, 676, 224], [1, 2, 60, 224], [1, 674, 676, 224], [1, 2, 676, 224], [1, 675, 789, 224]], 'outer_group': '768.55643', 'outer_hash': 55643, 'outer_nilpotent': True, 'outer_order': 768, 'outer_permdeg': 17, 'outer_perms': [21204442869868, 23819871398424, 24, 131760, 47089213920000, 90720, 5324585414400], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^7:C_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 12], [4, 6], [6, 8], [8, 2], [12, 12], [24, 2], [48, 2]], 'representations': {'PC': {'code': 1111489944815756596009013726469293393134705106101, 'gens': [1, 2, 3, 7], 'pres': [8, -2, -2, -2, -2, -2, -7, -2, -3, 2786, 2650, 66, 3467, 91, 4172, 116, 4621, 15702, 166, 14359]}, 'Perm': {'d': 20, 'gens': [6423383674049808, 40331670, 1, 167407, 859248, 1270440, 518918400, 134491780578355200]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{84}:C_2^3', 'transitive_degree': 336, '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: 117021086
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 8738, 'group_order': 1344, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 117021148
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 8738, 'group_order': 1344, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 672, 'size': 1}
  • id: 117021159
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 8738, 'group_order': 1344, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 784, 'size': 1}
  • id: 117021170
    {'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 8738, 'group_order': 1344, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 112, 'size': 1}
  • id: 117021181
    {'aut_label': '2D', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 8738, 'group_order': 1344, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 2}
  • id: 117021192
    {'aut_label': '2D', 'centralizer': '2.a1', 'counter': 6, 'group_counter': 8738, 'group_order': 1344, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 673, 'size': 2}
  • id: 117021203
    {'aut_label': '2F', 'centralizer': '28.d1', 'counter': 7, 'group_counter': 8738, 'group_order': 1344, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 2, 'size': 28}
  • id: 117021214
    {'aut_label': '2F', 'centralizer': '28.d1', 'counter': 8, 'group_counter': 8738, 'group_order': 1344, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 674, 'size': 28}
  • id: 117021225
    {'aut_label': '2F', 'centralizer': '28.d1', 'counter': 9, 'group_counter': 8738, 'group_order': 1344, 'label': '2H', 'order': 2, 'powers': [1, 9, 9], 'representative': 3, 'size': 28}
  • id: 117021087
    {'aut_label': '2F', 'centralizer': '28.d1', 'counter': 10, 'group_counter': 8738, 'group_order': 1344, 'label': '2I', 'order': 2, 'powers': [1, 10, 10], 'representative': 675, 'size': 28}
  • id: 117021098
    {'aut_label': '2J', 'centralizer': '84.f1', 'counter': 11, 'group_counter': 8738, 'group_order': 1344, 'label': '2J', 'order': 2, 'powers': [1, 11, 11], 'representative': 190, 'size': 84}
  • id: 117021109
    {'aut_label': '2J', 'centralizer': '84.f1', 'counter': 12, 'group_counter': 8738, 'group_order': 1344, 'label': '2K', 'order': 2, 'powers': [1, 12, 12], 'representative': 1166, 'size': 84}
  • id: 117021120
    {'aut_label': '3A', 'centralizer': '2.a1', 'counter': 13, 'group_counter': 8738, 'group_order': 1344, 'label': '3A', 'order': 3, 'powers': [13, 1, 13], 'representative': 896, 'size': 2}
  • id: 117021131
    {'aut_label': '4A', 'centralizer': '2.c1', 'counter': 14, 'group_counter': 8738, 'group_order': 1344, 'label': '4A', 'order': 4, 'powers': [4, 14, 14], 'representative': 56, 'size': 2}
  • id: 117021142
    {'aut_label': '4B', 'centralizer': '2.c1', 'counter': 15, 'group_counter': 8738, 'group_order': 1344, 'label': '4B', 'order': 4, 'powers': [4, 15, 15], 'representative': 840, 'size': 2}
  • id: 117021144
    {'aut_label': '4C', 'centralizer': '2.b1', 'counter': 16, 'group_counter': 8738, 'group_order': 1344, 'label': '4C', 'order': 4, 'powers': [4, 16, 16], 'representative': 169, 'size': 2}
  • id: 117021145
    {'aut_label': '4C', 'centralizer': '2.b1', 'counter': 17, 'group_counter': 8738, 'group_order': 1344, 'label': '4D', 'order': 4, 'powers': [4, 17, 17], 'representative': 841, 'size': 2}
  • id: 117021146
    {'aut_label': '4E', 'centralizer': '84.f1', 'counter': 18, 'group_counter': 8738, 'group_order': 1344, 'label': '4E', 'order': 4, 'powers': [4, 18, 18], 'representative': 1087, 'size': 84}
  • id: 117021147
    {'aut_label': '4E', 'centralizer': '84.f1', 'counter': 19, 'group_counter': 8738, 'group_order': 1344, 'label': '4F', 'order': 4, 'powers': [4, 19, 19], 'representative': 343, 'size': 84}
  • id: 117021149
    {'aut_label': '6A', 'centralizer': '2.a1', 'counter': 20, 'group_counter': 8738, 'group_order': 1344, 'label': '6A', 'order': 6, 'powers': [13, 2, 20], 'representative': 224, 'size': 2}
  • id: 117021150
    {'aut_label': '6A', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 8738, 'group_order': 1344, 'label': '6B', 'order': 6, 'powers': [13, 3, 21], 'representative': 336, 'size': 2}
  • id: 117021151
    {'aut_label': '6C', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 8738, 'group_order': 1344, 'label': '6C', 'order': 6, 'powers': [13, 4, 22], 'representative': 1008, 'size': 2}
  • id: 117021152
    {'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 23, 'group_counter': 8738, 'group_order': 1344, 'label': '6D1', 'order': 6, 'powers': [13, 5, 23], 'representative': 449, 'size': 2}
  • id: 117021153
    {'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 24, 'group_counter': 8738, 'group_order': 1344, 'label': '6D-1', 'order': 6, 'powers': [13, 5, 24], 'representative': 897, 'size': 2}
  • id: 117021154
    {'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 25, 'group_counter': 8738, 'group_order': 1344, 'label': '6E1', 'order': 6, 'powers': [13, 6, 25], 'representative': 225, 'size': 2}
  • id: 117021155
    {'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 26, 'group_counter': 8738, 'group_order': 1344, 'label': '6E-1', 'order': 6, 'powers': [13, 6, 26], 'representative': 1121, 'size': 2}
  • id: 117021156
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 27, 'group_counter': 8738, 'group_order': 1344, 'label': '6F1', 'order': 6, 'powers': [13, 7, 27], 'representative': 450, 'size': 28}
  • id: 117021157
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 28, 'group_counter': 8738, 'group_order': 1344, 'label': '6F-1', 'order': 6, 'powers': [13, 7, 28], 'representative': 898, 'size': 28}
  • id: 117021158
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 29, 'group_counter': 8738, 'group_order': 1344, 'label': '6G1', 'order': 6, 'powers': [13, 8, 29], 'representative': 226, 'size': 28}
  • id: 117021160
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 30, 'group_counter': 8738, 'group_order': 1344, 'label': '6G-1', 'order': 6, 'powers': [13, 8, 30], 'representative': 234, 'size': 28}
  • id: 117021161
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 31, 'group_counter': 8738, 'group_order': 1344, 'label': '6H1', 'order': 6, 'powers': [13, 9, 31], 'representative': 451, 'size': 28}
  • id: 117021162
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 32, 'group_counter': 8738, 'group_order': 1344, 'label': '6H-1', 'order': 6, 'powers': [13, 9, 32], 'representative': 899, 'size': 28}
  • id: 117021163
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 33, 'group_counter': 8738, 'group_order': 1344, 'label': '6I1', 'order': 6, 'powers': [13, 10, 33], 'representative': 227, 'size': 28}
  • id: 117021164
    {'aut_label': '6F1', 'centralizer': '28.d1', 'counter': 34, 'group_counter': 8738, 'group_order': 1344, 'label': '6I-1', 'order': 6, 'powers': [13, 10, 34], 'representative': 235, 'size': 28}
  • id: 117021165
    {'aut_label': '7A1', 'centralizer': '2.c1', 'counter': 35, 'group_counter': 8738, 'group_order': 1344, 'label': '7A1', 'order': 7, 'powers': [36, 37, 1], 'representative': 192, 'size': 2}
  • id: 117021166
    {'aut_label': '7A1', 'centralizer': '2.c1', 'counter': 36, 'group_counter': 8738, 'group_order': 1344, 'label': '7A2', 'order': 7, 'powers': [37, 35, 1], 'representative': 160, 'size': 2}
  • id: 117021167
    {'aut_label': '7A1', 'centralizer': '2.c1', 'counter': 37, 'group_counter': 8738, 'group_order': 1344, 'label': '7A3', 'order': 7, 'powers': [35, 36, 1], 'representative': 128, 'size': 2}
  • id: 117021168
    {'aut_label': '8A', 'centralizer': '12.j1', 'counter': 38, 'group_counter': 8738, 'group_order': 1344, 'label': '8A', 'order': 8, 'powers': [14, 38, 38], 'representative': 28, 'size': 12}
  • id: 117021169
    {'aut_label': '8A', 'centralizer': '12.j1', 'counter': 39, 'group_counter': 8738, 'group_order': 1344, 'label': '8B', 'order': 8, 'powers': [14, 39, 39], 'representative': 252, 'size': 12}
  • id: 117021171
    {'aut_label': '8A', 'centralizer': '12.j1', 'counter': 40, 'group_counter': 8738, 'group_order': 1344, 'label': '8C', 'order': 8, 'powers': [14, 40, 40], 'representative': 141, 'size': 12}
  • id: 117021172
    {'aut_label': '8A', 'centralizer': '12.j1', 'counter': 41, 'group_counter': 8738, 'group_order': 1344, 'label': '8D', 'order': 8, 'powers': [14, 41, 41], 'representative': 365, 'size': 12}
  • id: 117021173
    {'aut_label': '12A', 'centralizer': '4.a1', 'counter': 42, 'group_counter': 8738, 'group_order': 1344, 'label': '12A', 'order': 12, 'powers': [22, 14, 42], 'representative': 504, 'size': 4}
  • id: 117021174
    {'aut_label': '12B', 'centralizer': '4.a1', 'counter': 43, 'group_counter': 8738, 'group_order': 1344, 'label': '12B', 'order': 12, 'powers': [22, 15, 43], 'representative': 280, 'size': 4}
  • id: 117021175
    {'aut_label': '12C', 'centralizer': '4.a1', 'counter': 44, 'group_counter': 8738, 'group_order': 1344, 'label': '12C', 'order': 12, 'powers': [22, 16, 44], 'representative': 505, 'size': 4}
  • id: 117021176
    {'aut_label': '12C', 'centralizer': '4.a1', 'counter': 45, 'group_counter': 8738, 'group_order': 1344, 'label': '12D', 'order': 12, 'powers': [22, 17, 45], 'representative': 281, 'size': 4}
  • id: 117021177
    {'aut_label': '14A1', 'centralizer': '2.c1', 'counter': 46, 'group_counter': 8738, 'group_order': 1344, 'label': '14A1', 'order': 14, 'powers': [35, 47, 2], 'representative': 768, 'size': 2}
  • id: 117021178
    {'aut_label': '14A1', 'centralizer': '2.c1', 'counter': 47, 'group_counter': 8738, 'group_order': 1344, 'label': '14A3', 'order': 14, 'powers': [37, 48, 2], 'representative': 736, 'size': 2}
  • id: 117021179
    {'aut_label': '14A1', 'centralizer': '2.c1', 'counter': 48, 'group_counter': 8738, 'group_order': 1344, 'label': '14A5', 'order': 14, 'powers': [36, 46, 2], 'representative': 704, 'size': 2}
  • id: 117021180
    {'aut_label': '14A1', 'centralizer': '2.c1', 'counter': 49, 'group_counter': 8738, 'group_order': 1344, 'label': '14B1', 'order': 14, 'powers': [37, 50, 3], 'representative': 720, 'size': 2}
  • id: 117021182
    {'aut_label': '14A1', 'centralizer': '2.c1', 'counter': 50, 'group_counter': 8738, 'group_order': 1344, 'label': '14B3', 'order': 14, 'powers': [36, 51, 3], 'representative': 816, 'size': 2}
  • id: 117021183
    {'aut_label': '14A1', 'centralizer': '2.c1', 'counter': 51, 'group_counter': 8738, 'group_order': 1344, 'label': '14B5', 'order': 14, 'powers': [35, 49, 3], 'representative': 688, 'size': 2}
  • id: 117021184
    {'aut_label': '14C1', 'centralizer': '2.c1', 'counter': 52, 'group_counter': 8738, 'group_order': 1344, 'label': '14C1', 'order': 14, 'powers': [35, 53, 4], 'representative': 16, 'size': 2}
  • id: 117021185
    {'aut_label': '14C1', 'centralizer': '2.c1', 'counter': 53, 'group_counter': 8738, 'group_order': 1344, 'label': '14C3', 'order': 14, 'powers': [37, 54, 4], 'representative': 48, 'size': 2}
  • id: 117021186
    {'aut_label': '14C1', 'centralizer': '2.c1', 'counter': 54, 'group_counter': 8738, 'group_order': 1344, 'label': '14C5', 'order': 14, 'powers': [36, 52, 4], 'representative': 80, 'size': 2}
  • id: 117021187
    {'aut_label': '14D1', 'centralizer': '4.a1', 'counter': 55, 'group_counter': 8738, 'group_order': 1344, 'label': '14D1', 'order': 14, 'powers': [35, 56, 5], 'representative': 97, 'size': 4}
  • id: 117021188
    {'aut_label': '14D1', 'centralizer': '4.a1', 'counter': 56, 'group_counter': 8738, 'group_order': 1344, 'label': '14D3', 'order': 14, 'powers': [37, 57, 5], 'representative': 65, 'size': 4}
  • id: 117021189
    {'aut_label': '14D1', 'centralizer': '4.a1', 'counter': 57, 'group_counter': 8738, 'group_order': 1344, 'label': '14D5', 'order': 14, 'powers': [36, 55, 5], 'representative': 33, 'size': 4}
  • id: 117021190
    {'aut_label': '14D1', 'centralizer': '4.a1', 'counter': 58, 'group_counter': 8738, 'group_order': 1344, 'label': '14E1', 'order': 14, 'powers': [35, 59, 6], 'representative': 769, 'size': 4}
  • id: 117021191
    {'aut_label': '14D1', 'centralizer': '4.a1', 'counter': 59, 'group_counter': 8738, 'group_order': 1344, 'label': '14E3', 'order': 14, 'powers': [37, 60, 6], 'representative': 737, 'size': 4}
  • id: 117021193
    {'aut_label': '14D1', 'centralizer': '4.a1', 'counter': 60, 'group_counter': 8738, 'group_order': 1344, 'label': '14E5', 'order': 14, 'powers': [36, 58, 6], 'representative': 705, 'size': 4}
  • id: 117021194
    {'aut_label': '21A1', 'centralizer': '4.a1', 'counter': 61, 'group_counter': 8738, 'group_order': 1344, 'label': '21A1', 'order': 21, 'powers': [62, 35, 13], 'representative': 512, 'size': 4}
  • id: 117021195
    {'aut_label': '21A1', 'centralizer': '4.a1', 'counter': 62, 'group_counter': 8738, 'group_order': 1344, 'label': '21A2', 'order': 21, 'powers': [63, 36, 13], 'representative': 1024, 'size': 4}
  • id: 117021196
    {'aut_label': '21A1', 'centralizer': '4.a1', 'counter': 63, 'group_counter': 8738, 'group_order': 1344, 'label': '21A4', 'order': 21, 'powers': [61, 37, 13], 'representative': 480, 'size': 4}
  • id: 117021197
    {'aut_label': '28A1', 'centralizer': '2.c1', 'counter': 64, 'group_counter': 8738, 'group_order': 1344, 'label': '28A1', 'order': 28, 'powers': [52, 65, 14], 'representative': 8, 'size': 2}
  • id: 117021198
    {'aut_label': '28A1', 'centralizer': '2.c1', 'counter': 65, 'group_counter': 8738, 'group_order': 1344, 'label': '28A3', 'order': 28, 'powers': [53, 67, 14], 'representative': 24, 'size': 2}
  • id: 117021199
    {'aut_label': '28A1', 'centralizer': '2.c1', 'counter': 66, 'group_counter': 8738, 'group_order': 1344, 'label': '28A5', 'order': 28, 'powers': [54, 69, 14], 'representative': 40, 'size': 2}
  • id: 117021200
    {'aut_label': '28A1', 'centralizer': '2.c1', 'counter': 67, 'group_counter': 8738, 'group_order': 1344, 'label': '28A9', 'order': 28, 'powers': [54, 64, 14], 'representative': 72, 'size': 2}
  • id: 117021201
    {'aut_label': '28A1', 'centralizer': '2.c1', 'counter': 68, 'group_counter': 8738, 'group_order': 1344, 'label': '28A11', 'order': 28, 'powers': [53, 66, 14], 'representative': 88, 'size': 2}
  • id: 117021202
    {'aut_label': '28A1', 'centralizer': '2.c1', 'counter': 69, 'group_counter': 8738, 'group_order': 1344, 'label': '28A13', 'order': 28, 'powers': [52, 68, 14], 'representative': 104, 'size': 2}
  • id: 117021204
    {'aut_label': '28B1', 'centralizer': '2.c1', 'counter': 70, 'group_counter': 8738, 'group_order': 1344, 'label': '28B1', 'order': 28, 'powers': [53, 71, 15], 'representative': 696, 'size': 2}
  • id: 117021205
    {'aut_label': '28B1', 'centralizer': '2.c1', 'counter': 71, 'group_counter': 8738, 'group_order': 1344, 'label': '28B3', 'order': 28, 'powers': [54, 73, 15], 'representative': 744, 'size': 2}
  • id: 117021206
    {'aut_label': '28B1', 'centralizer': '2.c1', 'counter': 72, 'group_counter': 8738, 'group_order': 1344, 'label': '28B5', 'order': 28, 'powers': [52, 75, 15], 'representative': 792, 'size': 2}
  • id: 117021207
    {'aut_label': '28B1', 'centralizer': '2.c1', 'counter': 73, 'group_counter': 8738, 'group_order': 1344, 'label': '28B9', 'order': 28, 'powers': [52, 70, 15], 'representative': 888, 'size': 2}
  • id: 117021208
    {'aut_label': '28B1', 'centralizer': '2.c1', 'counter': 74, 'group_counter': 8738, 'group_order': 1344, 'label': '28B11', 'order': 28, 'powers': [54, 72, 15], 'representative': 712, 'size': 2}
  • id: 117021209
    {'aut_label': '28B1', 'centralizer': '2.c1', 'counter': 75, 'group_counter': 8738, 'group_order': 1344, 'label': '28B13', 'order': 28, 'powers': [53, 74, 15], 'representative': 760, 'size': 2}
  • id: 117021210
    {'aut_label': '28C1', 'centralizer': '4.a1', 'counter': 76, 'group_counter': 8738, 'group_order': 1344, 'label': '28C1', 'order': 28, 'powers': [53, 77, 16], 'representative': 25, 'size': 4}
  • id: 117021211
    {'aut_label': '28C1', 'centralizer': '4.a1', 'counter': 77, 'group_counter': 8738, 'group_order': 1344, 'label': '28C3', 'order': 28, 'powers': [54, 78, 16], 'representative': 73, 'size': 4}
  • id: 117021212
    {'aut_label': '28C1', 'centralizer': '4.a1', 'counter': 78, 'group_counter': 8738, 'group_order': 1344, 'label': '28C5', 'order': 28, 'powers': [52, 76, 16], 'representative': 121, 'size': 4}
  • id: 117021213
    {'aut_label': '28C1', 'centralizer': '4.a1', 'counter': 79, 'group_counter': 8738, 'group_order': 1344, 'label': '28D1', 'order': 28, 'powers': [53, 80, 17], 'representative': 697, 'size': 4}
  • id: 117021215
    {'aut_label': '28C1', 'centralizer': '4.a1', 'counter': 80, 'group_counter': 8738, 'group_order': 1344, 'label': '28D3', 'order': 28, 'powers': [54, 81, 17], 'representative': 745, 'size': 4}
  • id: 117021216
    {'aut_label': '28C1', 'centralizer': '4.a1', 'counter': 81, 'group_counter': 8738, 'group_order': 1344, 'label': '28D5', 'order': 28, 'powers': [52, 79, 17], 'representative': 793, 'size': 4}
  • id: 117021217
    {'aut_label': '42A1', 'centralizer': '4.a1', 'counter': 82, 'group_counter': 8738, 'group_order': 1344, 'label': '42A1', 'order': 42, 'powers': [61, 46, 20], 'representative': 256, 'size': 4}
  • id: 117021218
    {'aut_label': '42A1', 'centralizer': '4.a1', 'counter': 83, 'group_counter': 8738, 'group_order': 1344, 'label': '42A5', 'order': 42, 'powers': [62, 48, 20], 'representative': 288, 'size': 4}
  • id: 117021219
    {'aut_label': '42A1', 'centralizer': '4.a1', 'counter': 84, 'group_counter': 8738, 'group_order': 1344, 'label': '42A11', 'order': 42, 'powers': [63, 47, 20], 'representative': 320, 'size': 4}
  • id: 117021220
    {'aut_label': '42A1', 'centralizer': '4.a1', 'counter': 85, 'group_counter': 8738, 'group_order': 1344, 'label': '42B1', 'order': 42, 'powers': [63, 49, 21], 'representative': 240, 'size': 4}
  • id: 117021221
    {'aut_label': '42A1', 'centralizer': '4.a1', 'counter': 86, 'group_counter': 8738, 'group_order': 1344, 'label': '42B5', 'order': 42, 'powers': [61, 51, 21], 'representative': 304, 'size': 4}
  • id: 117021222
    {'aut_label': '42A1', 'centralizer': '4.a1', 'counter': 87, 'group_counter': 8738, 'group_order': 1344, 'label': '42B11', 'order': 42, 'powers': [62, 50, 21], 'representative': 272, 'size': 4}
  • id: 117021223
    {'aut_label': '42C1', 'centralizer': '4.a1', 'counter': 88, 'group_counter': 8738, 'group_order': 1344, 'label': '42C1', 'order': 42, 'powers': [63, 53, 22], 'representative': 912, 'size': 4}
  • id: 117021224
    {'aut_label': '42C1', 'centralizer': '4.a1', 'counter': 89, 'group_counter': 8738, 'group_order': 1344, 'label': '42C5', 'order': 42, 'powers': [61, 52, 22], 'representative': 528, 'size': 4}
  • id: 117021226
    {'aut_label': '42C1', 'centralizer': '4.a1', 'counter': 90, 'group_counter': 8738, 'group_order': 1344, 'label': '42C11', 'order': 42, 'powers': [62, 54, 22], 'representative': 624, 'size': 4}
  • id: 117021227
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 91, 'group_counter': 8738, 'group_order': 1344, 'label': '42D1', 'order': 42, 'powers': [61, 55, 23], 'representative': 481, 'size': 4}
  • id: 117021228
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 92, 'group_counter': 8738, 'group_order': 1344, 'label': '42D-1', 'order': 42, 'powers': [61, 55, 24], 'representative': 929, 'size': 4}
  • id: 117021229
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 93, 'group_counter': 8738, 'group_order': 1344, 'label': '42D5', 'order': 42, 'powers': [62, 57, 24], 'representative': 961, 'size': 4}
  • id: 117021230
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 94, 'group_counter': 8738, 'group_order': 1344, 'label': '42D-5', 'order': 42, 'powers': [62, 57, 23], 'representative': 513, 'size': 4}
  • id: 117021231
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 95, 'group_counter': 8738, 'group_order': 1344, 'label': '42D11', 'order': 42, 'powers': [63, 56, 24], 'representative': 465, 'size': 4}
  • id: 117021232
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 96, 'group_counter': 8738, 'group_order': 1344, 'label': '42D-11', 'order': 42, 'powers': [63, 56, 23], 'representative': 913, 'size': 4}
  • id: 117021233
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 97, 'group_counter': 8738, 'group_order': 1344, 'label': '42E1', 'order': 42, 'powers': [61, 58, 25], 'representative': 257, 'size': 4}
  • id: 117021234
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 98, 'group_counter': 8738, 'group_order': 1344, 'label': '42E-1', 'order': 42, 'powers': [61, 58, 26], 'representative': 1153, 'size': 4}
  • id: 117021235
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 99, 'group_counter': 8738, 'group_order': 1344, 'label': '42E5', 'order': 42, 'powers': [62, 60, 26], 'representative': 273, 'size': 4}
  • id: 117021088
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 100, 'group_counter': 8738, 'group_order': 1344, 'label': '42E-5', 'order': 42, 'powers': [62, 60, 25], 'representative': 289, 'size': 4}
  • id: 117021089
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 101, 'group_counter': 8738, 'group_order': 1344, 'label': '42E11', 'order': 42, 'powers': [63, 59, 26], 'representative': 241, 'size': 4}
  • id: 117021090
    {'aut_label': '42D1', 'centralizer': '4.a1', 'counter': 102, 'group_counter': 8738, 'group_order': 1344, 'label': '42E-11', 'order': 42, 'powers': [63, 59, 25], 'representative': 321, 'size': 4}
  • id: 117021091
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 103, 'group_counter': 8738, 'group_order': 1344, 'label': '56A1', 'order': 56, 'powers': [64, 104, 38], 'representative': 4, 'size': 12}
  • id: 117021092
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 104, 'group_counter': 8738, 'group_order': 1344, 'label': '56A3', 'order': 56, 'powers': [65, 106, 38], 'representative': 12, 'size': 12}
  • id: 117021093
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 105, 'group_counter': 8738, 'group_order': 1344, 'label': '56A5', 'order': 56, 'powers': [66, 108, 38], 'representative': 20, 'size': 12}
  • id: 117021094
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 106, 'group_counter': 8738, 'group_order': 1344, 'label': '56A9', 'order': 56, 'powers': [67, 103, 38], 'representative': 36, 'size': 12}
  • id: 117021095
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 107, 'group_counter': 8738, 'group_order': 1344, 'label': '56A11', 'order': 56, 'powers': [68, 105, 38], 'representative': 68, 'size': 12}
  • id: 117021096
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 108, 'group_counter': 8738, 'group_order': 1344, 'label': '56A13', 'order': 56, 'powers': [69, 107, 38], 'representative': 164, 'size': 12}
  • id: 117021097
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 109, 'group_counter': 8738, 'group_order': 1344, 'label': '56B1', 'order': 56, 'powers': [64, 110, 39], 'representative': 228, 'size': 12}
  • id: 117021099
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 110, 'group_counter': 8738, 'group_order': 1344, 'label': '56B3', 'order': 56, 'powers': [65, 112, 39], 'representative': 236, 'size': 12}
  • id: 117021100
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 111, 'group_counter': 8738, 'group_order': 1344, 'label': '56B5', 'order': 56, 'powers': [66, 114, 39], 'representative': 244, 'size': 12}
  • id: 117021101
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 112, 'group_counter': 8738, 'group_order': 1344, 'label': '56B9', 'order': 56, 'powers': [67, 109, 39], 'representative': 260, 'size': 12}
  • id: 117021102
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 113, 'group_counter': 8738, 'group_order': 1344, 'label': '56B11', 'order': 56, 'powers': [68, 111, 39], 'representative': 292, 'size': 12}
  • id: 117021103
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 114, 'group_counter': 8738, 'group_order': 1344, 'label': '56B13', 'order': 56, 'powers': [69, 113, 39], 'representative': 388, 'size': 12}
  • id: 117021104
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 115, 'group_counter': 8738, 'group_order': 1344, 'label': '56C1', 'order': 56, 'powers': [69, 116, 40], 'representative': 5, 'size': 12}
  • id: 117021105
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 116, 'group_counter': 8738, 'group_order': 1344, 'label': '56C3', 'order': 56, 'powers': [68, 118, 40], 'representative': 13, 'size': 12}
  • id: 117021106
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 117, 'group_counter': 8738, 'group_order': 1344, 'label': '56C5', 'order': 56, 'powers': [67, 120, 40], 'representative': 21, 'size': 12}
  • id: 117021107
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 118, 'group_counter': 8738, 'group_order': 1344, 'label': '56C9', 'order': 56, 'powers': [66, 115, 40], 'representative': 37, 'size': 12}
  • id: 117021108
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 119, 'group_counter': 8738, 'group_order': 1344, 'label': '56C11', 'order': 56, 'powers': [65, 117, 40], 'representative': 69, 'size': 12}
  • id: 117021110
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 120, 'group_counter': 8738, 'group_order': 1344, 'label': '56C13', 'order': 56, 'powers': [64, 119, 40], 'representative': 165, 'size': 12}
  • id: 117021111
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 121, 'group_counter': 8738, 'group_order': 1344, 'label': '56D1', 'order': 56, 'powers': [69, 122, 41], 'representative': 229, 'size': 12}
  • id: 117021112
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 122, 'group_counter': 8738, 'group_order': 1344, 'label': '56D3', 'order': 56, 'powers': [68, 124, 41], 'representative': 237, 'size': 12}
  • id: 117021113
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 123, 'group_counter': 8738, 'group_order': 1344, 'label': '56D5', 'order': 56, 'powers': [67, 126, 41], 'representative': 245, 'size': 12}
  • id: 117021114
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 124, 'group_counter': 8738, 'group_order': 1344, 'label': '56D9', 'order': 56, 'powers': [66, 121, 41], 'representative': 261, 'size': 12}
  • id: 117021115
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 125, 'group_counter': 8738, 'group_order': 1344, 'label': '56D11', 'order': 56, 'powers': [65, 123, 41], 'representative': 293, 'size': 12}
  • id: 117021116
    {'aut_label': '56A1', 'centralizer': '12.j1', 'counter': 126, 'group_counter': 8738, 'group_order': 1344, 'label': '56D13', 'order': 56, 'powers': [64, 125, 41], 'representative': 389, 'size': 12}
  • id: 117021117
    {'aut_label': '84A1', 'centralizer': '4.a1', 'counter': 127, 'group_counter': 8738, 'group_order': 1344, 'label': '84A1', 'order': 84, 'powers': [88, 65, 42], 'representative': 456, 'size': 4}
  • id: 117021118
    {'aut_label': '84A1', 'centralizer': '4.a1', 'counter': 128, 'group_counter': 8738, 'group_order': 1344, 'label': '84A5', 'order': 84, 'powers': [89, 69, 42], 'representative': 488, 'size': 4}
  • id: 117021119
    {'aut_label': '84A1', 'centralizer': '4.a1', 'counter': 129, 'group_counter': 8738, 'group_order': 1344, 'label': '84A11', 'order': 84, 'powers': [90, 66, 42], 'representative': 584, 'size': 4}
  • id: 117021121
    {'aut_label': '84A1', 'centralizer': '4.a1', 'counter': 130, 'group_counter': 8738, 'group_order': 1344, 'label': '84A13', 'order': 84, 'powers': [88, 68, 42], 'representative': 552, 'size': 4}
  • id: 117021122
    {'aut_label': '84A1', 'centralizer': '4.a1', 'counter': 131, 'group_counter': 8738, 'group_order': 1344, 'label': '84A19', 'order': 84, 'powers': [89, 64, 42], 'representative': 520, 'size': 4}
  • id: 117021123
    {'aut_label': '84A1', 'centralizer': '4.a1', 'counter': 132, 'group_counter': 8738, 'group_order': 1344, 'label': '84A25', 'order': 84, 'powers': [90, 67, 42], 'representative': 472, 'size': 4}
  • id: 117021124
    {'aut_label': '84B1', 'centralizer': '4.a1', 'counter': 133, 'group_counter': 8738, 'group_order': 1344, 'label': '84B1', 'order': 84, 'powers': [88, 70, 43], 'representative': 232, 'size': 4}
  • id: 117021125
    {'aut_label': '84B1', 'centralizer': '4.a1', 'counter': 134, 'group_counter': 8738, 'group_order': 1344, 'label': '84B5', 'order': 84, 'powers': [89, 72, 43], 'representative': 264, 'size': 4}
  • id: 117021126
    {'aut_label': '84B1', 'centralizer': '4.a1', 'counter': 135, 'group_counter': 8738, 'group_order': 1344, 'label': '84B11', 'order': 84, 'powers': [90, 74, 43], 'representative': 360, 'size': 4}
  • id: 117021127
    {'aut_label': '84B1', 'centralizer': '4.a1', 'counter': 136, 'group_counter': 8738, 'group_order': 1344, 'label': '84B13', 'order': 84, 'powers': [88, 75, 43], 'representative': 328, 'size': 4}
  • id: 117021128
    {'aut_label': '84B1', 'centralizer': '4.a1', 'counter': 137, 'group_counter': 8738, 'group_order': 1344, 'label': '84B19', 'order': 84, 'powers': [89, 73, 43], 'representative': 296, 'size': 4}
  • id: 117021129
    {'aut_label': '84B1', 'centralizer': '4.a1', 'counter': 138, 'group_counter': 8738, 'group_order': 1344, 'label': '84B25', 'order': 84, 'powers': [90, 71, 43], 'representative': 248, 'size': 4}
  • id: 117021130
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 139, 'group_counter': 8738, 'group_order': 1344, 'label': '84C1', 'order': 84, 'powers': [88, 76, 44], 'representative': 457, 'size': 4}
  • id: 117021132
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 140, 'group_counter': 8738, 'group_order': 1344, 'label': '84C-1', 'order': 84, 'powers': [88, 76, 44], 'representative': 905, 'size': 4}
  • id: 117021133
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 141, 'group_counter': 8738, 'group_order': 1344, 'label': '84C5', 'order': 84, 'powers': [89, 78, 44], 'representative': 937, 'size': 4}
  • id: 117021134
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 142, 'group_counter': 8738, 'group_order': 1344, 'label': '84C-5', 'order': 84, 'powers': [89, 78, 44], 'representative': 489, 'size': 4}
  • id: 117021135
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 143, 'group_counter': 8738, 'group_order': 1344, 'label': '84C11', 'order': 84, 'powers': [90, 77, 44], 'representative': 473, 'size': 4}
  • id: 117021136
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 144, 'group_counter': 8738, 'group_order': 1344, 'label': '84C-11', 'order': 84, 'powers': [90, 77, 44], 'representative': 921, 'size': 4}
  • id: 117021137
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 145, 'group_counter': 8738, 'group_order': 1344, 'label': '84D1', 'order': 84, 'powers': [88, 79, 45], 'representative': 233, 'size': 4}
  • id: 117021138
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 146, 'group_counter': 8738, 'group_order': 1344, 'label': '84D-1', 'order': 84, 'powers': [88, 79, 45], 'representative': 1129, 'size': 4}
  • id: 117021139
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 147, 'group_counter': 8738, 'group_order': 1344, 'label': '84D5', 'order': 84, 'powers': [89, 81, 45], 'representative': 297, 'size': 4}
  • id: 117021140
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 148, 'group_counter': 8738, 'group_order': 1344, 'label': '84D-5', 'order': 84, 'powers': [89, 81, 45], 'representative': 265, 'size': 4}
  • id: 117021141
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 149, 'group_counter': 8738, 'group_order': 1344, 'label': '84D11', 'order': 84, 'powers': [90, 80, 45], 'representative': 249, 'size': 4}
  • id: 117021143
    {'aut_label': '84C1', 'centralizer': '4.a1', 'counter': 150, 'group_counter': 8738, 'group_order': 1344, 'label': '84D-11', 'order': 84, 'powers': [90, 80, 45], 'representative': 361, '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: 6065501
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065512
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065523
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065534
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065545
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1e', '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, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065556
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1f', '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, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065558
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1g', '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, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065559
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1h', '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, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065560
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065502
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065503
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065504
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065505
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065506
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065507
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065508
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065509
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, 2, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065510
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 0, 0, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2], 'schur_index': 1}
  • id: 6065511
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 0, 0, -2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 6065513
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, 0, 0, -2, -2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, -2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2], 'schur_index': 1}
  • id: 6065514
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 6065515
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 0, 0, -1, 2, -2, -2, 2, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 2, 2, 0, 0, 0, 0, 1, -1, -1, 1, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -1, -1, -1, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 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, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065516
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 0, 0, -1, 2, -2, -2, 2, 0, 0, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, -1, -1, 1, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -1, -1, -1, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 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, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065517
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 0, 0, -1, 2, -2, 2, -2, 0, 0, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 2, 2, 2, 0, 0, 0, 0, -1, 1, -1, 1, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -1, -1, -1, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 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, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065518
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 0, 0, -1, 2, -2, 2, -2, 0, 0, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 2, 2, 2, 0, 0, 0, 0, -1, 1, -1, 1, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -1, -1, -1, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 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, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065519
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, -1, 2, 2, -2, -2, 0, 0, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 2, 2, 2, 0, 0, 0, 0, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 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, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065520
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, -1, 2, 2, -2, -2, 0, 0, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 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, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065521
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, -1, 2, 2, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065522
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2m', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, -2, -4, 4, 4, -4, 0, 0, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, -2, 2, 2, -2, -4, -4, 4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, 4, -2, -2, -2, -4, 4, 4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, -4, 4, 4, -4, -4, 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, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 6065524
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2n', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, -2, -4, 4, -4, 4, 0, 0, 2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, -2, 2, -2, -4, -4, 4, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, -4, -4, -2, -2, -2, -4, 4, 4, 4, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, 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, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6065525
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2o', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -4, -4, 4, 4, 0, 0, 2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, -2, -2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -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, 2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 6065526
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2p', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -2, -4, -4, -4, -4, 0, 0, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6065540
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4a', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 0, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 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], 'schur_index': 1}
  • id: 6065541
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4b', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 0, 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], 'schur_index': 1}
  • id: 6065527
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2q', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 6, 6, 6, 6, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065528
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2r', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 6, 0, 0, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -6, 6, -6, 6, -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, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065529
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2s', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 6, 0, 0, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 6, -6, 6, -6, -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, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065530
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2t', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 6, 6, -6, 6, -6, 0, 0, -6, -6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -6, -6, 6, 6, 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, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065531
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2u', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 6, 6, -6, 6, -6, 0, 0, -6, -6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 6, 6, -6, -6, 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, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065532
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2v', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, -6, 0, 0, -6, -6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -6, 6, 6, -6, -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, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065533
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2w', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, -6, 0, 0, -6, -6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 6, -6, -6, 6, -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, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065535
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2x', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -6, -6, -6, -6, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065542
    {'cdim': 4, 'counter': 47, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4c', 'multiplicity': 2, 'nt': [24, 118], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 8, 8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 0, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 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], 'schur_index': 1}
  • id: 6065543
    {'cdim': 4, 'counter': 48, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4d', 'multiplicity': 2, 'nt': [24, 118], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, -8, -8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0, 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], 'schur_index': 1}
  • id: 6065536
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2y', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, 12, 0, 0, 0, 0, 0, 0, 12, -12, 12, 12, -12, 0, 0, 12, 12, 12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 12, -12, -12, 12, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -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, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 6065537
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2z', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 12, -12, 12, -12, 12, 0, 0, -12, -12, 12, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -12, 12, -12, 12, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 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, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6065538
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2aa', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 12, -12, -12, 12, 12, 0, 0, -12, -12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 12, 12, -12, -12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 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, 2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2], 'schur_index': 1}
  • id: 6065539
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.2ab', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 12, -12, -12, -12, -12, 0, 0, 12, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -12, -12, -12, -12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 6065544
    {'cdim': 4, 'counter': 49, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4e', 'multiplicity': 3, 'nt': [21, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, -6, 12, 12, 12, 12, 0, 0, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -6, -6, -6, -6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065546
    {'cdim': 4, 'counter': 50, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4f', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, 12, 0, 0, 0, 0, 0, 0, -6, 12, -12, -12, 12, 0, 0, -6, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 6, -6, -6, 6, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 1, 1, 1, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 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, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065547
    {'cdim': 4, 'counter': 51, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4g', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, -12, 0, 0, 0, 0, 0, 0, -6, 12, -12, 12, -12, 0, 0, 6, 6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -6, 6, -6, 6, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 1, 1, 1, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 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, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6065548
    {'cdim': 4, 'counter': 52, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4h', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, -6, 12, 12, -12, -12, 0, 0, 6, 6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 6, 6, -6, -6, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 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, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1], 'schur_index': 1}
  • id: 6065549
    {'cdim': 4, 'counter': 53, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4i', 'multiplicity': 3, 'nt': [84, 0], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, 12, 0, 0, 0, 0, 0, 0, -6, -12, 12, 12, -12, 0, 0, -6, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -6, 6, 6, -6, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 1, 1, 1, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 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, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065550
    {'cdim': 4, 'counter': 54, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4j', 'multiplicity': 3, 'nt': [84, 0], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, -12, 0, 0, 0, 0, 0, 0, -6, -12, 12, -12, 12, 0, 0, 6, 6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 6, -6, 6, -6, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 1, 1, 1, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 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, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065551
    {'cdim': 4, 'counter': 55, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4k', 'multiplicity': 3, 'nt': [84, 0], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, -6, -12, -12, 12, 12, 0, 0, 6, 6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -6, -6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 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, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1], 'schur_index': 1}
  • id: 6065552
    {'cdim': 4, 'counter': 56, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4l', 'multiplicity': 3, 'nt': [84, 0], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, -6, -12, -12, -12, -12, 0, 0, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6065553
    {'cdim': 4, 'counter': 57, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4m', 'multiplicity': 6, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 0, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 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], 'schur_index': 1}
  • id: 6065554
    {'cdim': 4, 'counter': 58, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4n', 'multiplicity': 6, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -24, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0, 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], 'schur_index': 1}
  • id: 6065555
    {'cdim': 4, 'counter': 59, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4o', 'multiplicity': 12, 'nt': [168, 0], 'qdim': 48, 'qvalues': [48, -48, -48, 48, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, -4, 0, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 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], 'schur_index': 1}
  • id: 6065557
    {'cdim': 4, 'counter': 60, 'faithful': False, 'group': '1344.8738', 'group_order': 1344, 'image': None, 'label': '1344.8738.4p', 'multiplicity': 12, 'nt': [168, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 8, 8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 0, 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], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 12606832
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1344, 'label': '1344.8738.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 12606894
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.8738.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 12606905
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.8738.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 12606916
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.8738.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 12606927
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.8738.1e', '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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 12606938
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.8738.1f', '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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 12606949
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.8738.1g', '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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 12606960
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  • id: 12606971
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  • id: 12606833
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  • id: 12606844
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 672, 'label': '1344.8738.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 12606855
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 672, 'label': '1344.8738.1l', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 12606866
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  • id: 12606877
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  • id: 12606888
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  • id: 12606890
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 672, 'label': '1344.8738.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 12606891
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 224, 'label': '1344.8738.2a', 'nt': [3, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[2, 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]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606953
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 73, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1', 'kernel_order': 24, 'label': '1344.8738.2aa1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-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, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[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, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]]]}
  • id: 12606954
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 74, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1', 'kernel_order': 24, 'label': '1344.8738.2aa2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-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, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[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, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-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, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]]]}
  • id: 12606955
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 75, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1', 'kernel_order': 24, 'label': '1344.8738.2aa3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[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, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-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, 6], [-1, -6]], [[1, 6], [1, -6]], [[-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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 12606956
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 76, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1', 'kernel_order': 24, 'label': '1344.8738.2aa4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-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, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-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, 6], [-1, -6]], [[1, 6], [1, -6]], [[-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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 12606957
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 77, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1', 'kernel_order': 24, 'label': '1344.8738.2aa5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[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, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 12606958
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 78, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1', 'kernel_order': 24, 'label': '1344.8738.2aa6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[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, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[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, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 12606959
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 79, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1', 'kernel_order': 24, 'label': '1344.8738.2ab1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-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, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-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, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 12606961
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 80, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1', 'kernel_order': 24, 'label': '1344.8738.2ab2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-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, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[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, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 12606962
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 81, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1', 'kernel_order': 24, 'label': '1344.8738.2ab3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[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, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[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, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]]]}
  • id: 12606963
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 82, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1', 'kernel_order': 24, 'label': '1344.8738.2ab4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[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, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-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, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-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, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[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, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]]]}
  • id: 12606964
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 83, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1', 'kernel_order': 24, 'label': '1344.8738.2ab5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[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, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]]]}
  • id: 12606965
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 84, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1', 'kernel_order': 24, 'label': '1344.8738.2ab6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-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, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]]]}
  • id: 12606892
    {'center': '4.a1', 'center_index': 4, 'center_order': 336, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1', 'kernel_order': 168, 'label': '1344.8738.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[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]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]]]}
  • id: 12606893
    {'center': '4.a1', 'center_index': 4, 'center_order': 336, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1', 'kernel_order': 168, 'label': '1344.8738.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[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]], [[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]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]]]}
  • id: 12606895
    {'center': '4.a1', 'center_index': 4, 'center_order': 336, 'counter': 20, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1', 'kernel_order': 168, 'label': '1344.8738.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[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]], [[-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]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]]]}
  • id: 12606896
    {'center': '4.a1', 'center_index': 4, 'center_order': 336, 'counter': 21, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1', 'kernel_order': 168, 'label': '1344.8738.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[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]], [[-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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]]]}
  • id: 12606897
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 22, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 112, 'label': '1344.8738.2f', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606898
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 23, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 112, 'label': '1344.8738.2g', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606899
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 24, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 112, 'label': '1344.8738.2h', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606900
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 25, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 112, 'label': '1344.8738.2i', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606901
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 26, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 112, 'label': '1344.8738.2j', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[-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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606902
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 27, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 112, 'label': '1344.8738.2k', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[-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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606903
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 28, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 112, 'label': '1344.8738.2l', 'nt': [6, 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]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[2, 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]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606904
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 29, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1', 'kernel_order': 56, 'label': '1344.8738.2m1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[2, 0]], [[2, 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]], [[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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606906
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 30, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1', 'kernel_order': 56, 'label': '1344.8738.2m2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[2, 0]], [[2, 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]], [[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]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606907
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 31, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1', 'kernel_order': 56, 'label': '1344.8738.2n1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[-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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606908
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 32, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1', 'kernel_order': 56, 'label': '1344.8738.2n2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[-2, 0]], [[-2, 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]], [[-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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606909
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 33, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 56, 'label': '1344.8738.2o1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606910
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 34, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 56, 'label': '1344.8738.2o2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 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]], [[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]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606911
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 35, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 56, 'label': '1344.8738.2p1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606912
    {'center': '12.a1', 'center_index': 12, 'center_order': 112, 'counter': 36, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 56, 'label': '1344.8738.2p2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 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]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
  • id: 12606913
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 37, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 96, 'label': '1344.8738.2q1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[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, 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, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606914
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 38, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 96, 'label': '1344.8738.2q2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[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, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606915
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 39, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1', 'kernel_order': 96, 'label': '1344.8738.2q3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[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, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606917
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 40, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2r1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[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, 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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606918
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 41, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2r2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[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, 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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606919
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 42, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2r3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[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, 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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606920
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 43, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2s1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[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, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-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, 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, 3], [1, -3]], [[-1, 3], [-1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606921
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 44, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2s2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[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, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-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, 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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606922
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 45, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2s3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[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, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-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, 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, 1], [1, -1]], [[-1, 1], [-1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606923
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 46, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2t1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-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, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[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, 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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606924
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 47, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2t2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[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, 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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606925
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 48, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2t3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[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, 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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606926
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 49, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2u1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-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, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-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, 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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606928
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 50, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2u2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-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, 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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606929
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 51, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.8738.2u3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-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, 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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606930
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 52, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.8738.2v1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-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, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-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, 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, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606931
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 53, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.8738.2v2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-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, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-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, 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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606932
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 54, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.8738.2v3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[1, 2], [1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-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, 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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606933
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 55, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.8738.2w1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[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, 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, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606934
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 56, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.8738.2w2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[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, 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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606935
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 57, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.8738.2w3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[1, 2], [1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[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, 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, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606936
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 58, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.8738.2x1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-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, 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, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606937
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 59, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.8738.2x2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-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, 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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606939
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 60, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.8738.2x3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-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, 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, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606940
    {'center': '28.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': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2y1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[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, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]]]}
  • id: 12606941
    {'center': '28.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': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2y2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[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, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-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, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-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, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]]]}
  • id: 12606942
    {'center': '28.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': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2y3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[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, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 6], [1, -6]], [[-1, 6], [-1, -6]], [[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, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 12606943
    {'center': '28.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': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2y4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[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, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[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, 4], [1, -4]], [[1, 2], [1, -2]], [[-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, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 6], [1, -6]], [[-1, 6], [-1, -6]], [[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, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 12606944
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 65, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2y5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-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, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-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, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-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, 2], [-1, -2]], [[1, 6], [1, -6]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-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, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-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, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-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, 4], [-1, -4]], [[1, 4], [1, -4]], [[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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 12606945
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 66, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2y6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-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, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-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, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-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, 2], [-1, -2]], [[1, 6], [1, -6]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[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, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-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, 4], [-1, -4]], [[1, 4], [1, -4]], [[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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 12606946
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 67, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2z1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[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, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-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, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 12606947
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 68, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2z2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-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, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[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, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[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, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[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, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 12606948
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 69, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2z3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[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, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-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, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[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, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]]]}
  • id: 12606950
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 70, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2z4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[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, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[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, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]]]}
  • id: 12606951
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 71, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2z5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-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, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[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, 2], [1, -2]], [[1, 6], [1, -6]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-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, 4], [1, -4]], [[1, 4], [1, -4]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]]]}
  • id: 12606952
    {'center': '28.a1', 'center_index': 28, 'center_order': 48, 'counter': 72, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.e1', 'kernel_order': 24, 'label': '1344.8738.2z6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-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, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[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, 2], [1, -2]], [[1, 6], [1, -6]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-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, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-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, 4], [1, -4]], [[1, 4], [1, -4]], [[-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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]]]}
  • id: 12606966
    {'center': '16.a1', 'center_index': 16, 'center_order': 84, 'counter': 85, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1', 'kernel_order': 42, 'label': '1344.8738.4a', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 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]]]}
  • id: 12606967
    {'center': '16.a1', 'center_index': 16, 'center_order': 84, 'counter': 86, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1', 'kernel_order': 42, 'label': '1344.8738.4b', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 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]]]}
  • id: 12606968
    {'center': '48.a1', 'center_index': 48, 'center_order': 28, 'counter': 87, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '96.139', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 14, 'label': '1344.8738.4c1', 'nt': [24, 118], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 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]], [[-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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 12606969
    {'center': '48.a1', 'center_index': 48, 'center_order': 28, 'counter': 88, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '96.139', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 14, 'label': '1344.8738.4c2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 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]], [[-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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 12606970
    {'center': '48.a1', 'center_index': 48, 'center_order': 28, 'counter': 89, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '96.139', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 14, 'label': '1344.8738.4d1', 'nt': [24, 118], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 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]], [[-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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 12606972
    {'center': '48.a1', 'center_index': 48, 'center_order': 28, 'counter': 90, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '96.139', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 14, 'label': '1344.8738.4d2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 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]], [[-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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 12606973
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 91, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1', 'kernel_order': 16, 'label': '1344.8738.4e1', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[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]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606974
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 92, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1', 'kernel_order': 16, 'label': '1344.8738.4e2', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[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]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606975
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 93, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1', 'kernel_order': 16, 'label': '1344.8738.4e3', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[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]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606976
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 94, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.d1', 'kernel_order': 8, 'label': '1344.8738.4f1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-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]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-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, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606977
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 95, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.d1', 'kernel_order': 8, 'label': '1344.8738.4f2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-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]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606978
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 96, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.d1', 'kernel_order': 8, 'label': '1344.8738.4f3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-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]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -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, 3], [-1, -3]], [[1, 2], [1, -2]], [[-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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-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, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606979
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 97, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.d1', 'kernel_order': 8, 'label': '1344.8738.4g1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-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]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -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, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606980
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 98, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.d1', 'kernel_order': 8, 'label': '1344.8738.4g2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-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]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -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, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606981
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 99, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.d1', 'kernel_order': 8, 'label': '1344.8738.4g3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-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]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -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, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606834
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 100, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.8738.4h1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[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]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606835
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 101, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.8738.4h2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[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]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606836
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 102, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.8738.4h3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[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]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606837
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 103, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.e1', 'kernel_order': 8, 'label': '1344.8738.4i1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-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]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -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, 2], [-1, -2]], [[1, 1], [1, -1]], [[-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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-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, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606838
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 104, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.e1', 'kernel_order': 8, 'label': '1344.8738.4i2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-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]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -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, 1], [-1, -1]], [[1, 3], [1, -3]], [[-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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606839
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 105, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.e1', 'kernel_order': 8, 'label': '1344.8738.4i3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-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]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -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, 3], [-1, -3]], [[1, 2], [1, -2]], [[-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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606840
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 106, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.e1', 'kernel_order': 8, 'label': '1344.8738.4j1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-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]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -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, 2], [1, -2]], [[1, 1], [1, -1]], [[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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606841
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 107, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.e1', 'kernel_order': 8, 'label': '1344.8738.4j2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-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]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -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, 1], [1, -1]], [[1, 3], [1, -3]], [[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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606842
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 108, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.e1', 'kernel_order': 8, 'label': '1344.8738.4j3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-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]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -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, 3], [1, -3]], [[1, 2], [1, -2]], [[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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606843
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 109, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.c1', 'kernel_order': 8, 'label': '1344.8738.4k1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[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]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -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, 2], [1, -2]], [[-1, 1], [-1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]]]}
  • id: 12606845
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 110, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.c1', 'kernel_order': 8, 'label': '1344.8738.4k2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[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]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -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, 1], [1, -1]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 12606846
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 111, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.c1', 'kernel_order': 8, 'label': '1344.8738.4k3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[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]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -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, 3], [1, -3]], [[-1, 2], [-1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 12606847
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 112, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.8738.4l1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[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]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]]]}
  • id: 12606848
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 113, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.8738.4l2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[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]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 12606849
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 114, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '168.16', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.8738.4l3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 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, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[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]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 12606850
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 115, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4m1', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[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]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]]]}
  • id: 12606851
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 116, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4m2', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[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]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]]]}
  • id: 12606852
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 117, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4m3', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[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]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]]]}
  • id: 12606853
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 118, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4m4', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[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]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]]]}
  • id: 12606854
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 119, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4m5', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[-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]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]]]}
  • id: 12606856
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 120, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4m6', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[-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]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]]]}
  • id: 12606857
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 121, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4n1', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[-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]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]]]}
  • id: 12606858
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 122, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4n2', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[-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]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]]]}
  • id: 12606859
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 123, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4n3', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[-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]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]]]}
  • id: 12606860
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 124, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4n4', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[-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]], [[-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]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]]]}
  • id: 12606861
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 125, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4n5', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[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]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]]]}
  • id: 12606862
    {'center': '112.a1', 'center_index': 112, 'center_order': 12, 'counter': 126, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '224.103', 'image_order': 224, 'indicator': 1, 'kernel': '224.a1', 'kernel_order': 6, 'label': '1344.8738.4n6', 'nt': [56, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[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]], [[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]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[0, 0]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]]]}
  • id: 12606863
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 127, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 12], [-1, -12]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [-1, -6]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 15], [-1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 3], [1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]]]}
  • id: 12606873
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 136, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o10', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 18], [1, -18]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 12], [1, -12]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [-1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 15], [1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]]]}
  • id: 12606874
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 137, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o11', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 18], [1, -18]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 12], [1, -12]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 9], [1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 15], [-1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]]]}
  • id: 12606875
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 138, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o12', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 18], [1, -18]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 12], [1, -12]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 9], [1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 15], [-1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]]]}
  • id: 12606864
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 128, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o2', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 12], [-1, -12]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [-1, -6]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 15], [-1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 3], [1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]]]}
  • id: 12606865
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 129, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 12], [-1, -12]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [-1, -6]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 15], [1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 3], [-1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]]]}
  • id: 12606867
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 130, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o4', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 12], [-1, -12]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [-1, -6]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 15], [1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 3], [-1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]]]}
  • id: 12606868
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 131, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [1, -6]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 18], [-1, -18]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 3], [1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 9], [1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]]]}
  • id: 12606869
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 132, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o6', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [1, -6]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 18], [-1, -18]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 15], [-1, -15]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 3], [1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 9], [1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]]]}
  • id: 12606870
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 133, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o7', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [1, -6]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 18], [-1, -18]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 3], [-1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]]]}
  • id: 12606871
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 134, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o8', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[2, 9], [2, -9]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [1, -6]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 18], [-1, -18]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 15], [1, -15]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 3], [-1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]]]}
  • id: 12606872
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 135, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4o9', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-2, 15], [-2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 18], [1, -18]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 12], [1, -12]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [-1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 15], [1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]]]}
  • id: 12606876
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 139, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 18], [-2, -18]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 12], [-1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 12], [1, -12]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 6], [1, -6]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 15], [-1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 3], [1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]]]}
  • id: 12606886
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 148, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p10', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 18], [1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 18], [-1, -18]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 12], [-1, -12]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 15], [1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]]]}
  • id: 12606887
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 149, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p11', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 18], [1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 18], [-1, -18]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 12], [-1, -12]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [-1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 9], [1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 15], [-1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]]]}
  • id: 12606889
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 150, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p12', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 18], [1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 18], [-1, -18]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 12], [-1, -12]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [-1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 9], [1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 15], [-1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]]]}
  • id: 12606878
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 140, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p2', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 18], [-2, -18]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 12], [-1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 12], [1, -12]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 6], [1, -6]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 15], [-1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 3], [1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]]]}
  • id: 12606879
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 141, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 18], [-2, -18]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 12], [-1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 12], [1, -12]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 6], [1, -6]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 15], [1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 3], [-1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]]]}
  • id: 12606880
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 142, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p4', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 18], [-2, -18]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 12], [-1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 12], [1, -12]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [-1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 6], [1, -6]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 15], [1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 3], [-1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]]]}
  • id: 12606881
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 143, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p5', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 6], [1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [-1, -6]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 18], [1, -18]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 15], [1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 3], [1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 9], [1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]]]}
  • id: 12606882
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 144, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p6', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 6], [1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [-1, -6]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 18], [1, -18]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-1, 9], [-1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 15], [1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 3], [1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 9], [1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]]]}
  • id: 12606883
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 145, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p7', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 6], [1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [-1, -6]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-1, 18], [-1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 18], [1, -18]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 3], [-1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 3], [-1, -3]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]]]}
  • id: 12606884
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 146, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p8', 'nt': [168, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 6], [1, -6]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [-1, -6]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 18], [-1, -18]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 18], [1, -18]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 15], [1, -15]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 3], [-1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 3], [1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 15], [-1, -15]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 3], [-1, -3]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]]]}
  • id: 12606885
    {'center': '336.a1', 'center_index': 336, 'center_order': 4, 'counter': 147, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [49, 0, 98, 0, 147, 0, 84, 0, 35, 0, 7, 0, 1], 'group': '1344.8738', 'group_counter': 8738, 'group_order': 1344, 'image': None, 'image_isoclass': '672.456', 'image_order': 672, 'indicator': 0, 'kernel': '672.a1', 'kernel_order': 2, 'label': '1344.8738.4p9', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 9], [-2, -9]], [[2, 3], [2, -3]], [[2, 9], [2, -9]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 18], [1, -18]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 18], [-1, -18]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 12], [1, -12]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 12], [-1, -12]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 15], [1, -15]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 9], [-1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 9], [1, -9]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 3], [1, -3]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[1, 15], [1, -15]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]]]}
• 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: 74128120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1344, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '1344.8738.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1344.8738', 'subgroup_hash': 8738, 'subgroup_order': 1344, 'subgroup_tex': 'D_{84}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 672, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1205', 'subgroup_hash': 1205, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 672, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1236', 'subgroup_hash': 1236, 'subgroup_order': 672, 'subgroup_tex': 'D_{84}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 672, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.900', 'subgroup_hash': 900, 'subgroup_order': 672, 'subgroup_tex': 'C_{42}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 672, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.444', 'subgroup_hash': 444, 'subgroup_order': 672, 'subgroup_tex': 'C_6:D_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 74128320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 672, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.454', 'subgroup_hash': 454, 'subgroup_order': 672, 'subgroup_tex': 'C_{42}:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 672, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1344.8738.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.456', 'subgroup_hash': 456, 'subgroup_order': 672, 'subgroup_tex': 'D_{84}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 224, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1344.8738.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '448.1199', 'subgroup_hash': 1199, 'subgroup_order': 448, 'subgroup_tex': 'C_{56}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128353
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 336, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, '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', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.204', 'subgroup_hash': 204, 'subgroup_order': 336, 'subgroup_tex': 'C_2^2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 74128121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 336, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, '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': '336.176', 'subgroup_hash': 176, 'subgroup_order': 336, 'subgroup_tex': 'C_6\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 336, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.196', 'subgroup_hash': 196, 'subgroup_order': 336, 'subgroup_tex': 'C_2\\times D_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 74128143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 336, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, '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': True, '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: 74128154
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 336, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, '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': True, '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: 74128165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 336, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.176', 'subgroup_hash': 176, 'subgroup_order': 336, 'subgroup_tex': 'C_6\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 336, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.197', 'subgroup_hash': 197, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 336, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.80', 'subgroup_hash': 80, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.30', 'subgroup_hash': 30, 'subgroup_order': 336, 'subgroup_tex': 'C_3:D_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 74128209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.34', 'subgroup_hash': 34, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '336.225', 'subgroup_hash': 225, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '336.203', 'subgroup_hash': 203, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '336.176', 'subgroup_hash': 176, 'subgroup_order': 336, 'subgroup_tex': 'C_6\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '336.195', 'subgroup_hash': 195, 'subgroup_order': 336, 'subgroup_tex': 'C_4\\times D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '336.176', 'subgroup_hash': 176, 'subgroup_order': 336, 'subgroup_tex': 'C_6\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '336.197', 'subgroup_hash': 197, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 224, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '224.176', 'subgroup_hash': 176, 'subgroup_order': 224, 'subgroup_tex': 'C_2^2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 112, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '224.177', 'subgroup_hash': 177, 'subgroup_order': 224, 'subgroup_tex': 'D_{28}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 112, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '224.165', 'subgroup_hash': 165, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '224.98', 'subgroup_hash': 98, 'subgroup_order': 224, 'subgroup_tex': 'C_2\\times D_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 74128286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '224.97', 'subgroup_hash': 97, 'subgroup_order': 224, 'subgroup_tex': 'C_8:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '224.103', 'subgroup_hash': 103, 'subgroup_order': 224, 'subgroup_tex': 'C_8:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1344.8738.7.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.1352', 'subgroup_hash': 1352, 'subgroup_order': 192, 'subgroup_tex': 'D_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128290
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, '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': '168.57', 'subgroup_hash': 57, 'subgroup_order': 168, 'subgroup_tex': 'C_2^2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128291
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, '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: 74128292
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, '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': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 74128293
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 168, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, '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': [], '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: 74128294
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 168, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, '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': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 74128295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.26', 'subgroup_hash': 26, 'subgroup_order': 168, 'subgroup_tex': 'C_3\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '168.36', 'subgroup_hash': 36, 'subgroup_order': 168, 'subgroup_tex': 'D_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 74128297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, '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': [], 'split': True, '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: 74128299
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, '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': [], 'split': True, '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: 74128300
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 42, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.54', 'subgroup_hash': 54, 'subgroup_order': 168, 'subgroup_tex': 'C_6\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.54', 'subgroup_hash': 54, 'subgroup_order': 168, 'subgroup_tex': 'C_6\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.56', 'subgroup_hash': 56, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128303
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.54', 'subgroup_hash': 54, 'subgroup_order': 168, 'subgroup_tex': 'C_6\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.38', 'subgroup_hash': 38, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.26', 'subgroup_hash': 26, 'subgroup_order': 168, 'subgroup_tex': 'C_3\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.26', 'subgroup_hash': 26, 'subgroup_order': 168, 'subgroup_tex': 'C_3\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.35', 'subgroup_hash': 35, 'subgroup_order': 168, 'subgroup_tex': 'C_4\\times D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 74128310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '168.36', 'subgroup_hash': 36, 'subgroup_order': 168, 'subgroup_tex': 'D_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 74128311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.8.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128312
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 112, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, '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': '112.37', 'subgroup_hash': 37, 'subgroup_order': 112, 'subgroup_tex': 'C_2^2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 112, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, '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': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 112, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.42', 'subgroup_hash': 42, 'subgroup_order': 112, 'subgroup_tex': 'C_2^2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.36', 'subgroup_hash': 36, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128318
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.28', 'subgroup_hash': 28, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.23', 'subgroup_hash': 23, 'subgroup_order': 112, 'subgroup_tex': 'C_7\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.6', 'subgroup_hash': 6, 'subgroup_order': 112, 'subgroup_tex': 'D_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 74128328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.12.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '112.5', 'subgroup_hash': 5, 'subgroup_order': 112, 'subgroup_tex': 'C_{56}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 96, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.14.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.14.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.14.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.208', 'subgroup_hash': 208, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.14.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.138', 'subgroup_hash': 138, 'subgroup_order': 96, 'subgroup_tex': 'C_6:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 74128334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.14.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.140', 'subgroup_hash': 140, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.14.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.139', 'subgroup_hash': 139, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128336
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128337
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 84, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, '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': [], '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: 74128338
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 76, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], '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: 74128339
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, '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': [], '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: 74128340
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 84, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, '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': [], '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: 74128341
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 42, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128343
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 42, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 42, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 42, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 42, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128347
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 42, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 21, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1344.8738.21.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.254', 'subgroup_hash': 254, 'subgroup_order': 64, 'subgroup_tex': 'C_8:C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 74128350
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 56, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.13', 'subgroup_hash': 13, 'subgroup_order': 56, 'subgroup_tex': 'C_2^2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128351
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 56, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, '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: 74128352
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 56, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', '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: 74128354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 56, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, '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: 74128355
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 56, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', '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: 74128356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, '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': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128358
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 74128124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 74128126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128127
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.24.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.24.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 48, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.28.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1', 'outer_equivalence': True, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 48, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.28.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.b1', 'outer_equivalence': True, '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': True, '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: 74128131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 48, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.28.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1', 'outer_equivalence': True, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.15', 'subgroup_hash': 15, 'subgroup_order': 48, 'subgroup_tex': 'C_3:D_8', 'supersolvable': True, 'sylow': 0}
  • id: 74128146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.28.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.16', 'subgroup_hash': 16, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128147
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 42, 'counter': 123, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128148
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 124, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2'], '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: 74128149
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 21, 'counter': 125, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 74128150
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 21, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.4', 'subgroup_hash': 4, 'subgroup_order': 42, 'subgroup_tex': 'C_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 74128151
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 21, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.5', 'subgroup_hash': 5, 'subgroup_order': 42, 'subgroup_tex': 'D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 74128152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.42.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.42.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 16, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.42.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.42.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 74128157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.42.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.42.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128159
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 134, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6: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: 74128160
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 28, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6: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: 74128161
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 136, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\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: 74128162
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 137, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', '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: 74128163
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 28, 'counter': 138, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', '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: 74128164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 14, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128166
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128170
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 14, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 7, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 24, 'counter': 146, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.56.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1', 'outer_equivalence': True, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 24, 'counter': 147, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.56.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1', 'outer_equivalence': True, '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: 74128174
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 24, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.56.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1', 'outer_equivalence': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128175
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 24, 'counter': 149, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.56.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.d1', 'outer_equivalence': True, '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: 74128177
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 24, 'counter': 150, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.56.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.e1', 'outer_equivalence': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128178
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 151, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.56.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.f1', 'outer_equivalence': True, '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': True, '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: 74128179
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 74128190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.56.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128194
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 21, 'counter': 166, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '1344.8738.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.254', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 254, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['L3'], '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: 74128195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 16, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.84.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1', 'outer_equivalence': True, '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128196
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 74128197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 74128212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.84.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 74128213
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 14, 'counter': 183, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.139', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 139, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128214
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 184, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.219', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 219, '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: 74128215
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 7, 'counter': 185, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 74128216
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 7, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 74128217
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 7, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 74128218
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 12, 'counter': 188, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.112.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1', 'outer_equivalence': True, '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: 74128219
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 12, 'counter': 189, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.112.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1', 'outer_equivalence': True, '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: 74128221
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 190, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.112.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\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: 74128222
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 191, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.112.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.d1', 'outer_equivalence': True, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 12, 'counter': 192, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.112.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.e1', 'outer_equivalence': True, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 74128224
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 6, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128225
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128227
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128229
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.112.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 200, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.168.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128234
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 201, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.168.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.b1', 'outer_equivalence': True, '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': [], '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: 74128235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 202, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.168.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 74128236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 8, 'counter': 203, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.168.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.d1', 'outer_equivalence': True, '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': [], '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: 74128237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 8, 'counter': 204, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.168.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 74128238
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128239
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 74128244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128248
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 74128251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128252
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 218, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.168.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.168.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128255
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 7, 'counter': 220, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1344.8738.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1352', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1352, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2^3', 'simple': True, 'solvable': True, 'special_labels': [], '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: 74128256
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 6, 'counter': 221, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.224.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '224.103', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 103, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128257
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 222, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.224.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '224.176', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 176, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\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: 74128258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 3, 'counter': 223, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.224.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 224, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.224.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 74128260
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.224.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '224.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 74128261
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 4, 'counter': 226, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.336.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_{28}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 74128262
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 4, 'counter': 227, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.8738.336.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], '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: 74128263
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 228, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.336.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.219', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 219, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 74128264
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 229, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.336.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_{28}', '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: 74128266
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 4, 'counter': 230, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.336.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_{28}', '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: 74128267
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.336.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128268
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.336.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128269
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.336.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128270
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.336.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128271
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.336.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128272
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.336.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 74128273
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.8738.336.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 74128274
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 3, 'counter': 238, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1344.8738.448.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '448.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '448.1199', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1199, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 448, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{56}:C_2^3', 'simple': True, 'solvable': True, 'special_labels': ['C7'], '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: 74128275
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1344.8738.672.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '672.456', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 456, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{84}:C_2^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128277
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 240, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.8738.672.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '672.1172', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1172, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{42}:C_2^3', '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: 74128278
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.672.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128279
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.672.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128280
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.8738.672.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 74128281
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.8738', 'ambient_counter': 8738, 'ambient_order': 1344, 'ambient_tex': 'D_{84}:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 1, 'counter': 244, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1344.8738.1344.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1344.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1344.8738', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8738, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{84}:C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', '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: 74128348
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.j1', '8.n1'], 'contains': ['32.c1', '32.d1', '48.l1', '112.l1'], 'core': '64.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [673, 448, 32, 2], 'label': '1344.8738.16.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128120
    {'ambient': '1344.8738', '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', 'complements': ['1344.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '3.a1', '7.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 168, 448, 28, 112, 32, 2, 672], 'label': '1344.8738.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128121
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.d1', '2.e1'], 'contains': ['8.b1', '8.f1', '8.k1', '8.p1', '12.b1', '28.f1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 32, 672, 448, 168, 112], 'label': '1344.8738.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1', '2.e1'], 'normal_contains': ['8.b1', '8.f1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128122
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.q1', '12.c1', '12.f1', '12.k1'], 'contains': ['48.e1', '48.i1', '168.n1'], 'core': '48.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [841, 112, 32, 2], 'label': '1344.8738.24.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128123
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.r1', '12.g1', '12.l1', '12.m1'], 'contains': ['48.e1', '48.j1', '48.k1', '168.o1'], 'core': '48.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [841, 112, 32, 6], 'label': '1344.8738.24.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128124
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '12.h1', '12.l1', '12.o1'], 'contains': ['48.c1', '48.j1', '168.p1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6, 112, 32, 168], 'label': '1344.8738.24.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128125
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1', '12.h1', '12.m1'], 'contains': ['48.d1', '48.j1', '168.q1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6, 112, 32, 840], 'label': '1344.8738.24.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128126
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '12.i1', '12.l1', '12.p1'], 'contains': ['48.c1', '48.k1', '168.r1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [7, 112, 32, 168], 'label': '1344.8738.24.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128127
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.i1', '12.j1', '12.n1', '12.o1', '12.p1'], 'contains': ['48.c1', '168.s1'], 'core': '48.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1148, 56, 112, 32], 'label': '1344.8738.24.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128128
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1', '12.i1', '12.m1'], 'contains': ['48.d1', '48.k1', '168.t1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [7, 112, 32, 840], 'label': '1344.8738.24.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128129
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '14.a1', '14.b1', '14.c1'], 'contains': ['56.a1', '56.b1', '56.c1', '56.d1', '56.e1', '84.a1'], 'core': '28.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 112, 168, 672, 448], 'label': '1344.8738.28.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.a1', 'normal_contained_in': ['4.a1', '14.a1'], 'normal_contains': ['56.a1', '56.b1', '56.c1', '56.d1', '56.e1', '84.a1'], 'normalizer': '1.a1', 'old_label': '28.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128130
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['48.l1'], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '14.a1', '14.d1', '14.e1'], 'contains': ['56.b1', '56.f1', '84.i1'], 'core': '28.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [197, 448, 672, 56, 112], 'label': '1344.8738.28.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.b1', 'normal_contained_in': ['4.e1', '14.a1'], 'normal_contains': ['56.b1', '56.f1'], 'normalizer': '1.a1', 'old_label': '28.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128131
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['48.g1', '48.h1', '48.l1'], 'conjugacy_class_count': 4, 'contained_in': ['4.h1', '14.a1', '14.f1'], 'contains': ['56.d1', '56.f1', '84.n1'], 'core': '28.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 448, 1316, 168, 112], 'label': '1344.8738.28.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1', 'normal_contained_in': ['4.h1', '14.a1'], 'normal_contains': ['56.d1', '56.f1'], 'normalizer': '1.a1', 'old_label': '28.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128132
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': ['336.l1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.b1', '8.g1', '8.l1', '8.s1', '12.h1', '28.i1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6, 32, 672, 112, 168, 448], 'label': '1344.8738.4.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.b1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128133
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1', '14.b1'], 'contains': ['56.a1', '56.g1', '56.h1', '56.k1', '84.b1'], 'core': '56.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 448, 2, 112, 672], 'label': '1344.8738.28.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '28.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128134
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1', '14.c1'], 'contains': ['56.a1', '56.i1', '56.j1', '56.l1', '84.c1'], 'core': '56.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 448, 6, 672, 112], 'label': '1344.8738.28.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '28.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128135
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '14.b1', '14.d1', '14.e1'], 'contains': ['56.b1', '56.h1', '56.m1', '56.n1', '84.d1'], 'core': '56.b1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [2, 112, 168, 672, 448], 'label': '1344.8738.28.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128136
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1', '14.b1'], 'contains': ['56.c1', '56.h1', '56.o1', '84.e1'], 'core': '56.c1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [169, 112, 2, 672, 448], 'label': '1344.8738.28.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '28.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128137
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1', '14.c1'], 'contains': ['56.c1', '56.i1', '56.j1', '56.p1', '84.f1'], 'core': '56.c1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [169, 448, 6, 672, 112], 'label': '1344.8738.28.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '28.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128138
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '14.c1', '14.d1'], 'contains': ['56.b1', '56.i1', '56.q1', '56.r1', '84.g1'], 'core': '56.b1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [6, 448, 168, 672, 112], 'label': '1344.8738.28.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128139
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '14.c1', '14.e1'], 'contains': ['56.b1', '56.j1', '56.s1', '56.t1', '84.h1'], 'core': '56.b1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [7, 448, 168, 672, 112], 'label': '1344.8738.28.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128140
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '14.b1', '14.f1'], 'contains': ['56.d1', '56.k1', '56.m1', '56.o1', '84.j1'], 'core': '56.d1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [673, 112, 2, 168, 448], 'label': '1344.8738.28.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128141
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.o1', '14.b1'], 'contains': ['56.e1', '56.k1', '56.n1', '56.o1', '84.k1'], 'core': '56.e1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [1, 112, 2, 728, 448], 'label': '1344.8738.28.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '28.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128142
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.g1', '14.c1', '14.f1'], 'contains': ['56.d1', '56.l1', '56.p1', '56.q1', '56.s1', '84.l1'], 'core': '56.d1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [673, 448, 6, 168, 112], 'label': '1344.8738.28.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128143
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': ['336.l1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.e1'], 'contains': ['8.b1', '8.h1', '8.m1', '8.t1', '12.i1', '28.j1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [7, 32, 672, 112, 168, 448], 'label': '1344.8738.4.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1', '2.e1'], 'normal_contains': ['8.b1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128144
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.p1', '14.c1'], 'contains': ['56.e1', '56.l1', '56.p1', '56.r1', '56.t1', '84.m1'], 'core': '56.e1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [1, 448, 6, 728, 112], 'label': '1344.8738.28.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '28.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128145
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.i1', '14.d1', '14.f1'], 'contains': ['56.f1', '56.m1', '56.q1', '84.o1'], 'core': '56.f1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [2, 448, 1316, 56, 112], 'label': '1344.8738.28.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128146
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '28.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.j1', '14.e1', '14.f1'], 'contains': ['56.f1', '56.m1', '56.s1', '84.p1'], 'core': '56.f1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [3, 448, 1316, 168, 112], 'label': '1344.8738.28.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128147
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': ['42.f1'], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.f1', '16.g1', '16.h1'], 'contains': ['64.a1', '96.a1', '224.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [672, 32, 448], 'label': '1344.8738.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '96.a1', '224.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128148
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.i1', '16.j1', '16.k1'], 'contains': ['64.a1', '96.b1', '224.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 32, 448], 'label': '1344.8738.32.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '96.b1', '224.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128149
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.f1', '16.l1'], 'contains': ['64.a1', '96.c1', '224.c1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673, 32, 448], 'label': '1344.8738.32.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128150
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '16.i1', '16.l1'], 'contains': ['64.a1', '96.d1', '224.d1'], 'core': '64.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [2, 32, 448], 'label': '1344.8738.32.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128151
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '16.j1'], 'contains': ['64.a1', '96.e1', '224.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6, 32, 448], 'label': '1344.8738.32.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128152
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '42.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '14.b1', '21.a1'], 'contains': ['84.a1', '84.b1', '84.d1', '84.e1', '84.j1', '84.k1'], 'core': '84.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 2, 168, 672], 'label': '1344.8738.42.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '42.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128153
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '14.c1', '21.a1'], 'contains': ['84.a1', '84.c1', '84.f1', '84.g1', '84.h1', '84.l1', '84.m1'], 'core': '84.a1', 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1, 6, 168, 672], 'label': '1344.8738.42.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128154
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['336.l1'], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.d1', '2.e1'], 'contains': ['8.b1', '8.i1', '12.j1', '28.b1'], 'core': '4.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [141, 448, 32, 168, 672, 112], 'label': '1344.8738.4.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': ['2.c1', '2.d1', '2.e1'], 'normal_contains': ['8.b1', '8.i1', '28.b1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128155
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '14.a1', '21.a1'], 'contains': ['84.a1', '84.i1', '84.n1'], 'core': '84.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 196, 672], 'label': '1344.8738.42.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '42.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128156
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '14.d1', '21.a1'], 'contains': ['84.d1', '84.g1', '84.i1', '84.o1'], 'core': '168.b1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [197, 6, 672], 'label': '1344.8738.42.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128157
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1', '14.e1', '21.a1'], 'contains': ['84.d1', '84.h1', '84.i1', '84.p1'], 'core': '168.b1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [197, 2, 672], 'label': '1344.8738.42.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128158
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '42.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.f1', '14.f1', '21.a1'], 'contains': ['84.j1', '84.l1', '84.n1', '84.o1', '84.p1'], 'core': '168.d1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [1, 2, 1316], 'label': '1344.8738.42.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128159
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.h1', '24.i1', '24.j1'], 'contains': ['96.a1', '96.b1', '336.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 32, 672], 'label': '1344.8738.48.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1'], 'normal_contains': ['96.a1', '96.b1', '336.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128160
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '24.a1', '24.d1', '24.e1', '24.k1', '24.l1'], 'contains': ['96.b1', '96.c1', '336.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 32, 112], 'label': '1344.8738.48.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.d1', '24.e1'], 'normal_contains': ['96.b1', '336.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128322
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '6.c1', '6.d1', '6.e1'], 'contains': ['24.b1', '24.s1', '84.i1'], 'core': '24.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [141, 32, 168, 672, 112], 'label': '1344.8738.12.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128161
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.b1', '24.d1', '24.f1', '24.p1', '24.r1', '24.s1'], 'contains': ['96.b1', '336.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 112, 32], 'label': '1344.8738.48.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1', '24.d1', '24.f1'], 'normal_contains': ['96.b1', '336.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128162
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.b1', '24.e1', '24.m1', '24.q1', '24.t1'], 'contains': ['96.b1', '336.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [840, 112, 32], 'label': '1344.8738.48.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.b1', '24.e1'], 'normal_contains': ['96.b1', '336.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128163
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '24.c1', '24.d1', '24.e1', '24.n1', '24.o1'], 'contains': ['96.b1', '336.e1'], 'core': '48.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [841, 112, 32], 'label': '1344.8738.48.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.c1', '24.d1', '24.e1'], 'normal_contains': ['96.b1', '336.e1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128164
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '24.a1', '24.g1'], 'contains': ['96.a1', '96.c1', '336.f1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 32, 672], 'label': '1344.8738.48.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128165
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': ['336.h1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.f1'], 'contains': ['8.d1', '8.f1', '8.n1', '8.q1', '12.c1', '28.k1'], 'core': '4.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673, 32, 168, 448, 2, 112], 'label': '1344.8738.4.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1', '2.f1'], 'normal_contains': ['8.d1', '8.f1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128166
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '24.g1', '24.h1'], 'contains': ['96.a1', '96.d1', '336.g1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [2, 32, 672], 'label': '1344.8738.48.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '48.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128167
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '24.i1'], 'contains': ['96.a1', '96.e1', '336.h1'], 'core': '96.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6, 32, 672], 'label': '1344.8738.48.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.g1', 'old_label': '48.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128168
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '24.f1', '24.h1', '24.k1', '24.m1', '24.n1'], 'contains': ['96.b1', '96.d1', '336.i1'], 'core': '96.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [2, 32, 112], 'label': '1344.8738.48.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128169
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '24.i1', '24.l1', '24.o1', '24.p1', '24.q1'], 'contains': ['96.b1', '96.e1', '336.j1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [6, 32, 112], 'label': '1344.8738.48.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128170
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '24.j1', '24.l1', '24.o1', '24.r1', '24.t1'], 'contains': ['96.b1', '336.k1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [7, 32, 112], 'label': '1344.8738.48.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128171
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.l1', '24.g1', '24.k1'], 'contains': ['96.c1', '96.d1', '336.l1'], 'core': '192.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [673, 32, 2], 'label': '1344.8738.48.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '48.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128172
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '28.a1', '28.d1', '28.e1'], 'contains': ['112.a1', '112.b1', '112.f1', '168.a1'], 'core': '56.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 112, 672, 448], 'label': '1344.8738.56.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.a1', 'normal_contained_in': ['8.a1', '28.a1'], 'normal_contains': ['112.a1', '112.b1', '168.a1'], 'normalizer': '1.a1', 'old_label': '56.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128173
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '28.a1', '28.b1', '28.f1', '28.i1', '28.j1'], 'contains': ['112.a1', '112.c1', '112.d1', '168.b1'], 'core': '56.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 672, 448, 112], 'label': '1344.8738.56.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.b1', 'normal_contained_in': ['8.b1', '28.a1', '28.b1'], 'normal_contains': ['112.a1', '112.c1', '112.d1', '168.b1'], 'normalizer': '1.a1', 'old_label': '56.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128174
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '28.a1', '28.g1', '28.h1'], 'contains': ['112.a1', '112.e1', '168.c1'], 'core': '56.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [169, 672, 448, 112], 'label': '1344.8738.56.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.c1', 'normal_contained_in': ['8.c1', '28.a1'], 'normal_contains': ['112.a1', '112.e1', '168.c1'], 'normalizer': '1.a1', 'old_label': '56.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128175
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '28.a1', '28.c1', '28.k1', '28.m1'], 'contains': ['112.b1', '112.c1', '112.e1', '168.d1'], 'core': '56.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 168, 448, 112], 'label': '1344.8738.56.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.d1', 'normal_contained_in': ['8.d1', '28.a1', '28.c1'], 'normal_contains': ['112.b1', '112.c1', '112.e1', '168.d1'], 'normalizer': '1.a1', 'old_label': '56.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128176
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': ['336.g1', '336.l1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.f1'], 'contains': ['8.d1', '8.g1', '8.h1', '8.o1', '8.r1', '12.l1', '28.m1'], 'core': '4.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673, 32, 168, 112, 6, 448], 'label': '1344.8738.4.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': ['2.b1', '2.f1'], 'normal_contains': ['8.d1', '8.g1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128177
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '28.a1', '28.l1', '28.n1'], 'contains': ['112.b1', '112.d1', '112.e1', '168.e1'], 'core': '56.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 728, 448, 112], 'label': '1344.8738.56.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.e1', 'normal_contained_in': ['8.e1', '28.a1'], 'normal_contains': ['112.b1', '112.d1', '112.e1', '168.e1'], 'normalizer': '1.a1', 'old_label': '56.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128178
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['24.g1'], 'conjugacy_class_count': 4, 'contained_in': ['8.i1', '28.b1', '28.c1', '28.o1', '28.p1'], 'contains': ['112.c1', '168.s1'], 'core': '56.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1316, 168, 112, 448], 'label': '1344.8738.56.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.f1', 'normal_contained_in': ['8.i1', '28.b1', '28.c1'], 'normal_contains': ['112.c1'], 'normalizer': '1.a1', 'old_label': '56.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128179
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '28.d1'], 'contains': ['112.f1', '112.g1', '112.l1', '168.f1'], 'core': '224.a1', 'coset_action_label': None, 'count': 112, 'diagramx': None, 'generators': [1, 2, 672, 448], 'label': '1344.8738.56.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '56.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128180
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.k1', '28.d1', '28.f1', '28.g1'], 'contains': ['112.a1', '112.g1', '112.i1', '168.g1'], 'core': '112.a1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [2, 112, 672, 448], 'label': '1344.8738.56.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '56.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128181
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1', '28.e1', '28.h1', '28.i1'], 'contains': ['112.a1', '112.h1', '112.j1', '168.h1'], 'core': '112.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [6, 112, 672, 448], 'label': '1344.8738.56.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '56.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128182
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1', '28.e1', '28.h1', '28.j1'], 'contains': ['112.a1', '112.k1', '168.i1'], 'core': '112.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [7, 672, 112, 448], 'label': '1344.8738.56.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '56.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128183
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.n1', '28.d1', '28.k1', '28.l1'], 'contains': ['112.b1', '112.i1', '112.l1', '168.j1'], 'core': '112.b1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [673, 2, 112, 448], 'label': '1344.8738.56.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '56.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128184
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.o1', '28.e1', '28.m1', '28.n1'], 'contains': ['112.b1', '112.j1', '112.k1', '168.k1'], 'core': '112.b1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [673, 6, 112, 448], 'label': '1344.8738.56.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '56.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128185
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '28.f1', '28.k1', '28.o1', '28.p1'], 'contains': ['112.c1', '112.i1', '168.l1'], 'core': '112.c1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [2, 168, 448, 112], 'label': '1344.8738.56.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128186
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.p1', '28.f1', '28.l1'], 'contains': ['112.d1', '112.i1', '168.m1'], 'core': '112.d1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [2, 728, 448, 112], 'label': '1344.8738.56.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '56.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128187
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['336.g1', '336.h1', '336.l1'], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '2.f1'], 'contains': ['8.d1', '8.i1', '12.n1', '28.c1'], 'core': '4.h1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 448, 32, 56, 1148, 112], 'label': '1344.8738.4.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': ['2.c1', '2.f1'], 'normal_contains': ['8.d1', '8.i1', '28.c1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128188
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.q1', '28.g1', '28.k1', '28.l1'], 'contains': ['112.e1', '112.i1', '168.n1'], 'core': '112.e1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [729, 2, 448, 112], 'label': '1344.8738.56.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '56.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128189
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.r1', '28.h1', '28.m1', '28.n1'], 'contains': ['112.e1', '112.j1', '112.k1', '168.o1'], 'core': '112.e1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [729, 6, 112, 448], 'label': '1344.8738.56.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '56.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128190
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '28.i1', '28.m1', '28.o1'], 'contains': ['112.c1', '112.j1', '168.p1'], 'core': '112.c1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [6, 168, 112, 448], 'label': '1344.8738.56.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128191
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1', '28.i1', '28.n1'], 'contains': ['112.d1', '112.j1', '168.q1'], 'core': '112.d1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [6, 728, 112, 448], 'label': '1344.8738.56.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '56.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128192
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '28.j1', '28.m1', '28.p1'], 'contains': ['112.c1', '112.k1', '168.r1'], 'core': '112.c1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [7, 168, 112, 448], 'label': '1344.8738.56.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128193
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '56.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1', '28.j1', '28.n1'], 'contains': ['112.d1', '112.k1', '168.t1'], 'core': '112.d1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [7, 728, 112, 448], 'label': '1344.8738.56.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '56.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128194
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': ['21.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'contains': ['192.a1', '448.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [448, 32], 'label': '1344.8738.64.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['192.a1', '448.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128195
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '28.a1', '42.a1', '42.b1', '42.c1'], 'contains': ['168.a1', '168.b1', '168.c1', '168.d1', '168.e1'], 'core': '84.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 168, 672], 'label': '1344.8738.84.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '84.a1', 'normal_contained_in': ['12.a1', '28.a1'], 'normal_contains': ['168.a1', '168.b1', '168.c1', '168.d1', '168.e1'], 'normalizer': '1.a1', 'old_label': '84.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128196
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '28.d1', '42.a1'], 'contains': ['168.a1', '168.f1', '168.g1', '168.j1'], 'core': '168.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 2, 112, 672], 'label': '1344.8738.84.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '84.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128197
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1', '28.e1', '42.b1'], 'contains': ['168.a1', '168.h1', '168.i1', '168.k1'], 'core': '168.a1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [1, 6, 672], 'label': '1344.8738.84.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '84.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128198
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': ['336.f1', '336.g1', '336.l1'], 'conjugacy_class_count': 8, 'contained_in': ['2.d1', '2.f1'], 'contains': ['8.f1', '8.g1', '8.i1', '12.o1', '28.o1'], 'core': '4.i1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [2, 32, 168, 112, 1148, 448], 'label': '1344.8738.4.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': ['2.d1', '2.f1'], 'normal_contains': ['8.f1', '8.g1', '8.i1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128199
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '28.f1', '42.a1', '42.d1', '42.e1'], 'contains': ['168.b1', '168.g1', '168.l1', '168.m1'], 'core': '168.b1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [2, 168, 672], 'label': '1344.8738.84.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128200
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1', '28.g1', '42.a1'], 'contains': ['168.c1', '168.g1', '168.n1'], 'core': '168.c1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [169, 2, 672], 'label': '1344.8738.84.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '84.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128201
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1', '28.h1', '42.b1'], 'contains': ['168.c1', '168.h1', '168.i1', '168.o1'], 'core': '168.c1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [169, 6, 672], 'label': '1344.8738.84.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '84.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128202
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '28.i1', '42.b1', '42.d1'], 'contains': ['168.b1', '168.h1', '168.p1', '168.q1'], 'core': '168.b1', 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [6, 168, 672], 'label': '1344.8738.84.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128203
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1', '28.j1', '42.b1', '42.e1'], 'contains': ['168.b1', '168.i1', '168.r1', '168.t1'], 'core': '168.b1', 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [7, 168, 672], 'label': '1344.8738.84.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128204
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '28.b1', '42.c1', '42.d1', '42.e1'], 'contains': ['168.b1', '168.s1'], 'core': '168.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [197, 672], 'label': '1344.8738.84.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128205
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1', '28.k1', '42.a1', '42.f1'], 'contains': ['168.d1', '168.j1', '168.l1', '168.n1'], 'core': '168.d1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [673, 2, 168], 'label': '1344.8738.84.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128206
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '28.l1', '42.a1'], 'contains': ['168.e1', '168.j1', '168.m1', '168.n1'], 'core': '168.e1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [1, 2, 840], 'label': '1344.8738.84.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '84.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128207
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.l1', '28.m1', '42.b1', '42.f1'], 'contains': ['168.d1', '168.k1', '168.o1', '168.p1', '168.r1'], 'core': '168.d1', 'coset_action_label': None, 'count': 84, 'diagramx': None, 'generators': [673, 6, 168], 'label': '1344.8738.84.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128208
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '28.n1', '42.b1'], 'contains': ['168.e1', '168.k1', '168.o1', '168.q1', '168.t1'], 'core': '168.e1', 'coset_action_label': None, 'count': 84, 'diagramx': None, 'generators': [1, 6, 840], 'label': '1344.8738.84.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '84.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128209
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': ['336.g1', '336.h1', '336.f1', '336.l1'], 'conjugacy_class_count': 8, 'contained_in': ['2.e1', '2.f1'], 'contains': ['8.f1', '8.h1', '8.i1', '12.p1', '28.p1'], 'core': '4.j1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 32, 56, 112, 1148, 448], 'label': '1344.8738.4.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': ['2.e1', '2.f1'], 'normal_contains': ['8.f1', '8.h1', '8.i1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128210
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1', '28.c1', '42.c1', '42.f1'], 'contains': ['168.d1', '168.s1'], 'core': '168.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 1316], 'label': '1344.8738.84.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128211
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.o1', '28.o1', '42.d1', '42.f1'], 'contains': ['168.l1', '168.p1', '168.s1'], 'core': '336.c1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [2, 1316], 'label': '1344.8738.84.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128212
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '84.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.p1', '28.p1', '42.e1', '42.f1'], 'contains': ['168.l1', '168.r1', '168.s1'], 'core': '336.c1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [3, 1316], 'label': '1344.8738.84.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128213
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': ['14.f1'], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '48.a1', '48.f1', '48.g1', '48.h1'], 'contains': ['192.a1', '672.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [672, 32], 'label': '1344.8738.96.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1'], 'normal_contains': ['192.a1', '672.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128214
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '48.a1', '48.b1', '48.c1', '48.d1', '48.e1', '48.i1', '48.j1', '48.k1'], 'contains': ['192.a1', '672.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 32], 'label': '1344.8738.96.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.b1', '48.c1', '48.d1', '48.e1'], 'normal_contains': ['192.a1', '672.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128215
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '48.b1', '48.f1', '48.l1'], 'contains': ['192.a1', '672.c1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673, 32], 'label': '1344.8738.96.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128216
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.d1', '48.g1', '48.i1', '48.l1'], 'contains': ['192.a1', '672.d1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [2, 32], 'label': '1344.8738.96.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '96.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128217
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '48.h1', '48.j1'], 'contains': ['192.a1', '672.e1'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6, 32], 'label': '1344.8738.96.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.g1', 'old_label': '96.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128218
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '56.a1', '56.b1', '56.c1', '56.h1', '56.i1', '56.j1'], 'contains': ['224.a1', '224.b1', '336.a1'], 'core': '112.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 672, 448], 'label': '1344.8738.112.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.a1', 'normal_contained_in': ['16.a1', '56.a1', '56.b1', '56.c1'], 'normal_contains': ['224.a1', '224.b1', '336.a1'], 'normalizer': '1.a1', 'old_label': '112.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128219
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '56.a1', '56.d1', '56.e1', '56.k1', '56.l1'], 'contains': ['224.b1', '224.c1', '336.b1'], 'core': '112.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 112, 448], 'label': '1344.8738.112.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.b1', 'normal_contained_in': ['16.b1', '56.a1', '56.d1', '56.e1'], 'normal_contains': ['224.b1', '336.b1'], 'normalizer': '1.a1', 'old_label': '112.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128220
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.j1', '8.k1', '8.n1', '12.d1', '28.d1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 32, 112, 672, 2, 448], 'label': '1344.8738.4.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128221
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '56.b1', '56.d1', '56.f1', '56.m1', '56.q1', '56.s1'], 'contains': ['224.b1', '336.c1'], 'core': '112.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 448, 112], 'label': '1344.8738.112.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.c1', 'normal_contained_in': ['16.c1', '56.b1', '56.d1', '56.f1'], 'normal_contains': ['224.b1', '336.c1'], 'normalizer': '1.a1', 'old_label': '112.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128222
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '56.b1', '56.e1', '56.n1', '56.r1', '56.t1'], 'contains': ['224.b1', '336.d1'], 'core': '112.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [728, 448, 112], 'label': '1344.8738.112.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.d1', 'normal_contained_in': ['16.d1', '56.b1', '56.e1'], 'normal_contains': ['224.b1', '336.d1'], 'normalizer': '1.a1', 'old_label': '112.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128223
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '56.c1', '56.d1', '56.e1', '56.o1', '56.p1'], 'contains': ['224.b1', '336.e1'], 'core': '112.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 448, 112], 'label': '1344.8738.112.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.e1', 'normal_contained_in': ['16.e1', '56.c1', '56.d1', '56.e1'], 'normal_contains': ['224.b1', '336.e1'], 'normalizer': '1.a1', 'old_label': '112.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128224
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '56.a1', '56.g1'], 'contains': ['224.a1', '224.c1', '336.f1'], 'core': '224.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 672, 448], 'label': '1344.8738.112.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '112.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128225
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '56.g1', '56.h1'], 'contains': ['224.a1', '224.d1', '336.g1'], 'core': '224.a1', 'coset_action_label': None, 'count': 112, 'diagramx': None, 'generators': [2, 672, 448], 'label': '1344.8738.112.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '112.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128226
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '56.i1'], 'contains': ['224.a1', '224.e1', '336.h1'], 'core': '224.a1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [6, 672, 448], 'label': '1344.8738.112.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.h1', 'old_label': '112.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128227
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '56.h1', '56.k1', '56.m1', '56.n1', '56.o1'], 'contains': ['224.b1', '224.d1', '336.i1'], 'core': '224.b1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [2, 112, 448], 'label': '1344.8738.112.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '112.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128228
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '56.i1', '56.l1', '56.p1', '56.q1', '56.r1'], 'contains': ['224.b1', '224.e1', '336.j1'], 'core': '224.b1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [6, 112, 448], 'label': '1344.8738.112.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '112.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128229
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '56.j1', '56.l1', '56.p1', '56.s1', '56.t1'], 'contains': ['224.b1', '336.k1'], 'core': '224.b1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [7, 112, 448], 'label': '1344.8738.112.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1', 'old_label': '112.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128230
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '112.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.l1', '56.g1', '56.k1'], 'contains': ['224.c1', '224.d1', '336.l1'], 'core': '448.a1', 'coset_action_label': None, 'count': 224, 'diagramx': None, 'generators': [673, 2, 448], 'label': '1344.8738.112.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '112.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128231
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': ['672.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.f1', '4.k1', '4.m1', '4.o1', '6.a1', '14.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 112, 168, 672, 2, 32, 448], 'label': '1344.8738.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.f1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128232
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.l1', '8.m1', '8.o1', '12.e1', '28.e1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 32, 672, 112, 6, 448], 'label': '1344.8738.4.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128233
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '56.a1', '84.a1', '84.b1', '84.c1'], 'contains': ['336.a1', '336.b1', '336.f1'], 'core': '168.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 112, 672], 'label': '1344.8738.168.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '168.a1', 'normal_contained_in': ['24.a1', '56.a1', '84.a1'], 'normal_contains': ['336.a1', '336.b1'], 'normalizer': '1.a1', 'old_label': '168.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128234
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '56.b1', '84.a1', '84.d1', '84.g1', '84.h1', '84.i1'], 'contains': ['336.a1', '336.c1', '336.d1'], 'core': '168.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 672], 'label': '1344.8738.168.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '168.b1', 'normal_contained_in': ['24.b1', '56.b1', '84.a1'], 'normal_contains': ['336.a1', '336.c1', '336.d1'], 'normalizer': '1.a1', 'old_label': '168.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128235
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '56.c1', '84.a1', '84.e1', '84.f1'], 'contains': ['336.a1', '336.e1'], 'core': '168.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [169, 672], 'label': '1344.8738.168.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '168.c1', 'normal_contained_in': ['24.c1', '56.c1', '84.a1'], 'normal_contains': ['336.a1', '336.e1'], 'normalizer': '1.a1', 'old_label': '168.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128236
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.d1', '56.d1', '84.a1', '84.j1', '84.l1', '84.n1'], 'contains': ['336.b1', '336.c1', '336.e1'], 'core': '168.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 168], 'label': '1344.8738.168.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '168.d1', 'normal_contained_in': ['24.d1', '56.d1', '84.a1'], 'normal_contains': ['336.b1', '336.c1', '336.e1'], 'normalizer': '1.a1', 'old_label': '168.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128237
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '56.e1', '84.a1', '84.k1', '84.m1'], 'contains': ['336.b1', '336.d1', '336.e1'], 'core': '168.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 840], 'label': '1344.8738.168.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '168.e1', 'normal_contained_in': ['24.e1', '56.e1', '84.a1'], 'normal_contains': ['336.b1', '336.d1', '336.e1'], 'normalizer': '1.a1', 'old_label': '168.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128238
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '56.g1', '84.b1'], 'contains': ['336.f1', '336.g1', '336.l1'], 'core': '672.a1', 'coset_action_label': None, 'count': 112, 'diagramx': None, 'generators': [1, 2, 672], 'label': '1344.8738.168.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '168.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128239
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '56.h1', '84.b1', '84.d1', '84.e1'], 'contains': ['336.a1', '336.g1', '336.i1'], 'core': '336.a1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [2, 112, 672], 'label': '1344.8738.168.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '168.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128240
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1', '56.i1', '84.c1', '84.f1', '84.g1'], 'contains': ['336.a1', '336.h1', '336.j1'], 'core': '336.a1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [6, 112, 672], 'label': '1344.8738.168.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '168.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128241
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '56.j1', '84.c1', '84.f1', '84.h1'], 'contains': ['336.a1', '336.k1'], 'core': '336.a1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [7, 672], 'label': '1344.8738.168.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '168.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128242
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '56.k1', '84.b1', '84.j1', '84.k1'], 'contains': ['336.b1', '336.i1', '336.l1'], 'core': '336.b1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [673, 2, 112], 'label': '1344.8738.168.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '168.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128243
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.c1', '8.k1', '8.q1', '12.f1', '28.g1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [169, 32, 672, 448, 2, 112], 'label': '1344.8738.4.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128244
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.l1', '56.l1', '84.c1', '84.l1', '84.m1'], 'contains': ['336.b1', '336.j1', '336.k1'], 'core': '336.b1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [673, 6], 'label': '1344.8738.168.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '168.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128245
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '56.m1', '84.d1', '84.j1', '84.o1', '84.p1'], 'contains': ['336.c1', '336.i1'], 'core': '336.c1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [2, 168], 'label': '1344.8738.168.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128246
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.m1', '56.n1', '84.d1', '84.k1'], 'contains': ['336.d1', '336.i1'], 'core': '336.d1', 'coset_action_label': None, 'count': 28, 'diagramx': None, 'generators': [2, 840], 'label': '1344.8738.168.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '168.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128247
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.n1', '56.o1', '84.e1', '84.j1', '84.k1'], 'contains': ['336.e1', '336.i1'], 'core': '336.e1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [841, 2], 'label': '1344.8738.168.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '168.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128248
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.o1', '56.p1', '84.f1', '84.l1', '84.m1'], 'contains': ['336.e1', '336.j1', '336.k1'], 'core': '336.e1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [841, 6], 'label': '1344.8738.168.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '168.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128249
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.p1', '56.q1', '84.g1', '84.l1', '84.o1'], 'contains': ['336.c1', '336.j1'], 'core': '336.c1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [6, 168], 'label': '1344.8738.168.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128250
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1', '56.r1', '84.g1', '84.m1'], 'contains': ['336.d1', '336.j1'], 'core': '336.d1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [6, 840], 'label': '1344.8738.168.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '168.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128251
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.r1', '56.s1', '84.h1', '84.l1', '84.p1'], 'contains': ['336.c1', '336.k1'], 'core': '336.c1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [7, 168], 'label': '1344.8738.168.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128252
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '56.f1', '84.i1', '84.n1', '84.o1', '84.p1'], 'contains': ['336.c1'], 'core': '336.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1316], 'label': '1344.8738.168.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128253
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '168.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.t1', '56.t1', '84.h1', '84.m1'], 'contains': ['336.d1', '336.k1'], 'core': '336.d1', 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [7, 840], 'label': '1344.8738.168.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '168.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128254
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.c1', '8.l1', '8.m1', '8.r1', '12.g1', '28.h1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [169, 32, 672, 112, 6, 448], 'label': '1344.8738.4.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128255
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': ['7.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'contains': ['1344.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32], 'label': '1344.8738.192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128256
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '224.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['6.f1'], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '112.a1', '112.f1', '112.g1', '112.h1'], 'contains': ['448.a1', '672.a1'], 'core': '224.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [672, 448], 'label': '1344.8738.224.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '224.a1', 'normal_contained_in': ['32.a1', '112.a1'], 'normal_contains': ['448.a1', '672.a1'], 'normalizer': '1.a1', 'old_label': '224.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128257
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '224.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '112.a1', '112.b1', '112.c1', '112.d1', '112.e1', '112.i1', '112.j1', '112.k1'], 'contains': ['448.a1', '672.b1'], 'core': '224.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 448], 'label': '1344.8738.224.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '224.b1', 'normal_contained_in': ['32.b1', '112.a1', '112.b1', '112.c1', '112.d1', '112.e1'], 'normal_contains': ['448.a1', '672.b1'], 'normalizer': '1.a1', 'old_label': '224.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128258
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '112.b1', '112.f1', '112.l1'], 'contains': ['448.a1', '672.c1'], 'core': '448.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673, 448], 'label': '1344.8738.224.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '224.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128259
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '224.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.d1', '112.g1', '112.i1', '112.l1'], 'contains': ['448.a1', '672.d1'], 'core': '448.a1', 'coset_action_label': None, 'count': 112, 'diagramx': None, 'generators': [2, 448], 'label': '1344.8738.224.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '224.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128260
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '224.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '112.h1', '112.j1'], 'contains': ['448.a1', '672.e1'], 'core': '448.a1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [6, 448], 'label': '1344.8738.224.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.h1', 'old_label': '224.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128261
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '112.a1', '168.a1', '168.b1', '168.c1', '168.g1', '168.h1', '168.i1'], 'contains': ['672.a1', '672.b1'], 'core': '336.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 672], 'label': '1344.8738.336.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '336.a1', 'normal_contained_in': ['48.a1', '112.a1', '168.a1', '168.b1', '168.c1'], 'normal_contains': ['672.a1', '672.b1'], 'normalizer': '1.a1', 'old_label': '336.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128262
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '112.b1', '168.a1', '168.d1', '168.e1', '168.j1', '168.k1'], 'contains': ['672.b1', '672.c1'], 'core': '336.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 112], 'label': '1344.8738.336.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '336.b1', 'normal_contained_in': ['48.b1', '112.b1', '168.a1', '168.d1', '168.e1'], 'normal_contains': ['672.b1'], 'normalizer': '1.a1', 'old_label': '336.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128263
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '112.c1', '168.b1', '168.d1', '168.l1', '168.p1', '168.r1', '168.s1'], 'contains': ['672.b1'], 'core': '336.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168], 'label': '1344.8738.336.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '336.c1', 'normal_contained_in': ['48.c1', '112.c1', '168.b1', '168.d1'], 'normal_contains': ['672.b1'], 'normalizer': '1.a1', 'old_label': '336.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128264
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1', '112.d1', '168.b1', '168.e1', '168.m1', '168.q1', '168.t1'], 'contains': ['672.b1'], 'core': '336.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [840], 'label': '1344.8738.336.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '336.d1', 'normal_contained_in': ['48.d1', '112.d1', '168.b1', '168.e1'], 'normal_contains': ['672.b1'], 'normalizer': '1.a1', 'old_label': '336.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128265
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.e1', '8.n1', '8.p1', '8.q1', '12.k1', '28.l1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 32, 728, 448, 2, 112], 'label': '1344.8738.4.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128266
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '112.e1', '168.c1', '168.d1', '168.e1', '168.n1', '168.o1'], 'contains': ['672.b1'], 'core': '336.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [841], 'label': '1344.8738.336.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '336.e1', 'normal_contained_in': ['48.e1', '112.e1', '168.c1', '168.d1', '168.e1'], 'normal_contains': ['672.b1'], 'normalizer': '1.a1', 'old_label': '336.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128267
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '112.f1', '168.a1', '168.f1'], 'contains': ['672.a1', '672.c1'], 'core': '672.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 672], 'label': '1344.8738.336.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '168.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '336.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128268
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '112.g1', '168.f1', '168.g1'], 'contains': ['672.a1', '672.d1'], 'core': '672.a1', 'coset_action_label': None, 'count': 112, 'diagramx': None, 'generators': [2, 672], 'label': '1344.8738.336.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '336.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128269
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '112.h1', '168.h1'], 'contains': ['672.a1', '672.e1'], 'core': '672.a1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [6, 672], 'label': '1344.8738.336.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.f1', 'old_label': '336.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128270
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '112.i1', '168.g1', '168.j1', '168.l1', '168.m1', '168.n1'], 'contains': ['672.b1', '672.d1'], 'core': '672.b1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [2, 112], 'label': '1344.8738.336.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1', 'old_label': '336.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128271
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.j1', '112.j1', '168.h1', '168.k1', '168.o1', '168.p1', '168.q1'], 'contains': ['672.b1', '672.e1'], 'core': '672.b1', 'coset_action_label': None, 'count': 84, 'diagramx': None, 'generators': [6, 112], 'label': '1344.8738.336.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '336.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128272
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.k1', '112.k1', '168.i1', '168.k1', '168.o1', '168.r1', '168.t1'], 'contains': ['672.b1'], 'core': '672.b1', 'coset_action_label': None, 'count': 84, 'diagramx': None, 'generators': [7], 'label': '1344.8738.336.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.b1', 'old_label': '336.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128273
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '336.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.l1', '112.l1', '168.f1', '168.j1'], 'contains': ['672.c1', '672.d1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 224, 'diagramx': None, 'generators': [673, 2], 'label': '1344.8738.336.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '336.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128274
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '448.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '224.a1', '224.b1', '224.c1', '224.d1', '224.e1'], 'contains': ['1344.a1'], 'core': '448.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [448], 'label': '1344.8738.448.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '448.a1', 'normal_contained_in': ['64.a1', '224.a1', '224.b1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '448.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '448.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128275
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '672.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['2.f1'], 'conjugacy_class_count': 2, 'contained_in': ['96.a1', '224.a1', '336.a1', '336.f1', '336.g1', '336.h1'], 'contains': ['1344.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [672], 'label': '1344.8738.672.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '672.a1', 'normal_contained_in': ['96.a1', '224.a1', '336.a1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '672.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128276
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.e1', '8.o1', '8.r1', '8.s1', '8.t1', '12.m1', '28.n1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 32, 728, 112, 6, 448], 'label': '1344.8738.4.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128323
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.o1', '6.a1'], 'contains': ['24.e1', '24.k1', '24.m1', '24.n1', '84.k1'], 'core': '24.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 840, 112, 2, 32], 'label': '1344.8738.12.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128277
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '672.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '224.b1', '336.a1', '336.b1', '336.c1', '336.d1', '336.e1', '336.i1', '336.j1', '336.k1'], 'contains': ['1344.a1'], 'core': '672.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112], 'label': '1344.8738.672.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '672.b1', 'normal_contained_in': ['96.b1', '224.b1', '336.a1', '336.b1', '336.c1', '336.d1', '336.e1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '672.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128278
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '672.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '224.c1', '336.b1', '336.f1', '336.l1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673], 'label': '1344.8738.672.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '336.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '672.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128279
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '672.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.d1', '224.d1', '336.g1', '336.i1', '336.l1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 112, 'diagramx': None, 'generators': [2], 'label': '1344.8738.672.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.d1', 'old_label': '672.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128280
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '672.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '224.e1', '336.h1', '336.j1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 168, 'diagramx': None, 'generators': [6], 'label': '1344.8738.672.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.f1', 'old_label': '672.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128281
    {'ambient': '1344.8738', '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', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '448.a1', '672.a1', '672.b1', '672.c1', '672.d1', '672.e1'], 'contains': [], 'core': '1344.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '1344.8738.1344.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1344.a1', 'normal_contained_in': ['192.a1', '448.a1', '672.a1', '672.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1344.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128282
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': ['224.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.d1', '12.f1', '12.k1', '42.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 32, 168, 672, 2, 112], 'label': '1344.8738.6.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128283
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.e1', '12.g1', '12.h1', '12.i1', '12.l1', '12.m1', '42.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 32, 168, 672, 6, 112], 'label': '1344.8738.6.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128284
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.j1', '12.n1', '42.c1'], 'core': '12.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 112, 672, 32, 28, 56], 'label': '1344.8738.6.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128285
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.h1', '12.j1', '12.o1', '42.d1'], 'core': '12.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [141, 32, 672, 168, 6, 112], 'label': '1344.8738.6.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128286
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.b1', '12.i1', '12.j1', '12.p1', '42.e1'], 'core': '12.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [141, 32, 672, 168, 2, 112], 'label': '1344.8738.6.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128287
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': ['672.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.d1', '4.g1', '4.l1', '4.n1', '4.p1', '6.b1', '14.c1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 448, 168, 672, 6, 32, 112], 'label': '1344.8738.2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.d1', '4.g1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128288
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.f1', '3.a1'], 'contains': ['12.c1', '12.l1', '12.n1', '12.o1', '12.p1', '42.f1'], 'core': '12.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1, 32, 1148, 168, 2, 112], 'label': '1344.8738.6.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128289
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['14.a1', '14.b1', '14.c1', '14.d1', '14.e1', '14.f1', '21.a1'], 'core': '14.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 112, 56, 2, 448, 196, 672], 'label': '1344.8738.7.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '7.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128290
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.k1', '4.l1'], 'contains': ['16.a1', '16.b1', '16.f1', '24.a1', '56.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 672, 448, 112, 32], 'label': '1344.8738.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.b1', '24.a1', '56.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128291
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.c1', '16.d1', '24.b1', '56.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 448, 32, 672, 112], 'label': '1344.8738.8.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.a1', '16.c1', '16.d1', '24.b1', '56.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128292
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.m1', '4.n1'], 'contains': ['16.a1', '16.e1', '24.c1', '56.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [169, 448, 32, 672, 112], 'label': '1344.8738.8.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.e1', '24.c1', '56.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128293
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.f1', '4.g1', '4.h1'], 'contains': ['16.b1', '16.c1', '16.e1', '24.d1', '56.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 448, 32, 168, 112], 'label': '1344.8738.8.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.f1', '4.g1', '4.h1'], 'normal_contains': ['16.b1', '16.c1', '16.e1', '24.d1', '56.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128294
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.o1', '4.p1'], 'contains': ['16.b1', '16.d1', '16.e1', '24.e1', '56.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 448, 32, 728, 112], 'label': '1344.8738.8.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.b1', '16.d1', '16.e1', '24.e1', '56.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128295
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '4.f1', '4.i1', '4.j1'], 'contains': ['16.c1', '16.i1', '24.f1', '56.m1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 448, 112, 168, 32], 'label': '1344.8738.8.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': ['4.b1', '4.f1', '4.i1', '4.j1'], 'normal_contains': ['16.c1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128296
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': ['168.f1'], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.g1', '4.i1'], 'contains': ['16.c1', '16.j1', '24.p1', '56.q1'], 'core': '8.g1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6, 112, 448, 168, 32], 'label': '1344.8738.8.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1', '4.g1', '4.i1'], 'normal_contains': ['16.c1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128297
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': ['168.f1'], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.g1', '4.j1'], 'contains': ['16.c1', '16.k1', '24.r1', '56.s1'], 'core': '8.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7, 112, 448, 168, 32], 'label': '1344.8738.8.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': ['4.d1', '4.g1', '4.j1'], 'normal_contains': ['16.c1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128347
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.m1', '8.o1', '8.r1', '8.t1'], 'contains': ['32.b1', '48.k1', '112.k1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [7, 448, 32, 112], 'label': '1344.8738.16.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128298
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['672.d1', '672.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.e1', '4.h1', '6.c1', '14.a1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 112, 672, 32, 28, 448, 56], 'label': '1344.8738.2.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.e1', '4.h1', '14.a1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128299
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['168.f1'], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '4.h1', '4.i1', '4.j1'], 'contains': ['16.c1', '24.s1', '56.f1'], 'core': '8.i1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1148, 56, 112, 32, 448], 'label': '1344.8738.8.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': ['4.e1', '4.h1', '4.i1', '4.j1'], 'normal_contains': ['16.c1', '56.f1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128300
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.k1'], 'contains': ['16.f1', '16.g1', '16.l1', '24.g1', '56.g1'], 'core': '32.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1, 672, 448, 2, 32], 'label': '1344.8738.8.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128301
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.k1', '4.m1'], 'contains': ['16.a1', '16.g1', '16.i1', '24.h1', '56.h1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 672, 448, 112, 32], 'label': '1344.8738.8.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128302
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.l1', '4.n1'], 'contains': ['16.a1', '16.h1', '16.j1', '24.i1', '56.i1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6, 672, 448, 112, 32], 'label': '1344.8738.8.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128303
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.l1', '4.n1'], 'contains': ['16.a1', '16.k1', '24.j1', '56.j1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7, 112, 448, 672, 32], 'label': '1344.8738.8.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128304
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '4.k1', '4.o1'], 'contains': ['16.b1', '16.i1', '16.l1', '24.k1', '56.k1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [673, 112, 448, 2, 32], 'label': '1344.8738.8.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128305
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.g1', '4.l1', '4.p1'], 'contains': ['16.b1', '16.j1', '16.k1', '24.l1', '56.l1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [673, 112, 448, 6, 32], 'label': '1344.8738.8.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128306
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.o1'], 'contains': ['16.d1', '16.i1', '24.m1', '56.n1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 448, 112, 728, 32], 'label': '1344.8738.8.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128307
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '4.m1', '4.o1'], 'contains': ['16.e1', '16.i1', '24.n1', '56.o1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [729, 448, 112, 2, 32], 'label': '1344.8738.8.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128308
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.g1', '4.n1', '4.p1'], 'contains': ['16.e1', '16.j1', '16.k1', '24.o1', '56.p1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [729, 112, 448, 6, 32], 'label': '1344.8738.8.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128309
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': ['672.d1', '672.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.e1', '4.i1', '6.d1', '14.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [141, 448, 672, 168, 6, 32, 112], 'label': '1344.8738.2.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.e1', '4.i1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128310
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.p1'], 'contains': ['16.d1', '16.j1', '24.q1', '56.r1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6, 112, 448, 728, 32], 'label': '1344.8738.8.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128311
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.p1'], 'contains': ['16.d1', '16.k1', '24.t1', '56.t1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7, 112, 448, 728, 32], 'label': '1344.8738.8.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128312
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.b1', '6.c1'], 'contains': ['24.a1', '24.b1', '24.c1', '24.d1', '24.e1', '84.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 672, 32, 168, 112], 'label': '1344.8738.12.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.c1', '24.d1', '24.e1', '84.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128313
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1', '6.d1', '6.e1'], 'contains': ['24.b1', '24.f1', '24.h1', '24.m1', '84.d1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 672, 112, 168, 32], 'label': '1344.8738.12.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.b1', '24.f1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128314
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': ['112.h1'], 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '6.a1', '6.f1'], 'contains': ['24.d1', '24.f1', '24.k1', '24.n1', '84.j1'], 'core': '12.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [673, 168, 112, 2, 32], 'label': '1344.8738.12.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': ['4.f1', '6.a1'], 'normal_contains': ['24.d1', '24.f1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128315
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1', '6.a1'], 'contains': ['24.a1', '24.g1', '24.h1', '24.k1', '84.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 112, 672, 2, 32], 'label': '1344.8738.12.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128316
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1', '6.b1'], 'contains': ['24.a1', '24.i1', '24.j1', '24.l1', '84.c1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 672, 112, 6, 32], 'label': '1344.8738.12.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128317
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1', '6.a1'], 'contains': ['24.c1', '24.h1', '24.n1', '84.e1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [169, 672, 112, 2, 32], 'label': '1344.8738.12.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128318
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1', '6.b1'], 'contains': ['24.c1', '24.i1', '24.j1', '24.o1', '84.f1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [169, 672, 112, 6, 32], 'label': '1344.8738.12.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128319
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.b1', '6.d1'], 'contains': ['24.b1', '24.i1', '24.p1', '24.q1', '84.g1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6, 672, 112, 168, 32], 'label': '1344.8738.12.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128320
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': ['672.e1', '672.c1', '672.d1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '4.e1', '4.j1', '6.e1', '14.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [141, 448, 672, 168, 2, 32, 112], 'label': '1344.8738.2.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '4.e1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128321
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.b1', '6.e1'], 'contains': ['24.b1', '24.j1', '24.r1', '24.t1', '84.h1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [7, 672, 112, 168, 32], 'label': '1344.8738.12.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128324
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.g1', '6.b1', '6.f1'], 'contains': ['24.d1', '24.l1', '24.o1', '24.p1', '24.r1', '84.l1'], 'core': '24.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [673, 168, 112, 6, 32], 'label': '1344.8738.12.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128325
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.p1', '6.b1'], 'contains': ['24.e1', '24.l1', '24.o1', '24.q1', '24.t1', '84.m1'], 'core': '24.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 840, 112, 6, 32], 'label': '1344.8738.12.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128326
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.h1', '6.c1', '6.f1'], 'contains': ['24.d1', '24.s1', '84.n1'], 'core': '24.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 32, 56, 1148, 112], 'label': '1344.8738.12.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128327
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.i1', '6.d1', '6.f1'], 'contains': ['24.f1', '24.p1', '24.s1', '84.o1'], 'core': '24.f1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [2, 168, 112, 1148, 32], 'label': '1344.8738.12.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128328
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.j1', '6.e1', '6.f1'], 'contains': ['24.f1', '24.r1', '24.s1', '84.p1'], 'core': '24.f1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 56, 112, 1148, 32], 'label': '1344.8738.12.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128329
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '14.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1', 'complements': ['96.d1', '96.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '7.a1'], 'contains': ['28.a1', '28.b1', '28.c1', '42.c1'], 'core': '14.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 448, 112, 196, 672, 168], 'label': '1344.8738.14.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['28.a1', '28.b1', '28.c1'], 'normalizer': '1.a1', 'old_label': '14.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128330
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '7.a1'], 'contains': ['28.a1', '28.d1', '28.f1', '28.g1', '28.k1', '28.l1', '42.a1'], 'core': '28.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 112, 448, 2, 168, 672], 'label': '1344.8738.14.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128331
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '2.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': ['672.a1', '672.d1', '672.e1', '672.c1'], 'conjugacy_class_count': 8, 'contained_in': ['1.a1'], 'contains': ['4.f1', '4.g1', '4.h1', '4.i1', '4.j1', '6.f1', '14.f1'], 'core': '2.f1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 448, 1148, 168, 2, 32, 112], 'label': '1344.8738.2.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.f1', '4.g1', '4.h1', '4.i1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128332
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '7.a1'], 'contains': ['28.a1', '28.e1', '28.h1', '28.i1', '28.j1', '28.m1', '28.n1', '42.b1'], 'core': '28.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 448, 112, 6, 168, 672], 'label': '1344.8738.14.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128333
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '7.a1'], 'contains': ['28.b1', '28.f1', '28.i1', '28.o1', '42.d1'], 'core': '28.b1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [197, 448, 112, 6, 672, 56], 'label': '1344.8738.14.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128334
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.e1', '7.a1'], 'contains': ['28.b1', '28.f1', '28.j1', '28.p1', '42.e1'], 'core': '28.b1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [197, 448, 112, 2, 672, 56], 'label': '1344.8738.14.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128335
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.f1', '7.a1'], 'contains': ['28.c1', '28.k1', '28.m1', '28.o1', '28.p1', '42.f1'], 'core': '28.c1', 'coset_action_label': None, 'count': 56, 'diagramx': None, 'generators': [1, 448, 112, 2, 1316, 56], 'label': '1344.8738.14.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128336
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.k1', '8.l1', '8.m1'], 'contains': ['32.a1', '32.b1', '48.a1', '112.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [112, 448, 32, 672], 'label': '1344.8738.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.b1', '48.a1', '112.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128337
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.d1', '8.e1', '8.n1', '8.o1'], 'contains': ['32.b1', '32.c1', '48.b1', '112.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 448, 32, 112], 'label': '1344.8738.16.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.d1', '8.e1'], 'normal_contains': ['32.b1', '48.b1', '112.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128338
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.d1', '8.f1', '8.g1', '8.h1', '8.i1'], 'contains': ['32.b1', '48.c1', '112.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 32, 112, 448], 'label': '1344.8738.16.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.d1', '8.f1', '8.g1', '8.h1', '8.i1'], 'normal_contains': ['32.b1', '48.c1', '112.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128339
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.e1', '8.p1', '8.s1', '8.t1'], 'contains': ['32.b1', '48.d1', '112.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [728, 32, 112, 448], 'label': '1344.8738.16.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': ['8.b1', '8.e1'], 'normal_contains': ['32.b1', '48.d1', '112.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128340
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.d1', '8.e1', '8.q1', '8.r1'], 'contains': ['32.b1', '48.e1', '112.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 32, 112, 448], 'label': '1344.8738.16.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.b1', '48.e1', '112.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128341
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.j1'], 'contains': ['32.a1', '32.c1', '48.f1', '112.f1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 448, 32, 672], 'label': '1344.8738.16.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128342
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '21.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 112, 28, 672, 2, 32, 168], 'label': '1344.8738.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128343
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '8.k1'], 'contains': ['32.a1', '32.d1', '48.g1', '112.g1'], 'core': '32.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [2, 448, 32, 672], 'label': '1344.8738.16.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128344
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.l1'], 'contains': ['32.a1', '32.e1', '48.h1', '112.h1'], 'core': '32.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [6, 448, 32, 672], 'label': '1344.8738.16.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128345
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '8.k1', '8.n1', '8.p1', '8.q1'], 'contains': ['32.b1', '32.d1', '48.i1', '112.i1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [2, 448, 32, 112], 'label': '1344.8738.16.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128346
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.g1', '8.l1', '8.o1', '8.r1', '8.s1'], 'contains': ['32.b1', '32.e1', '48.j1', '112.j1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [6, 448, 32, 112], 'label': '1344.8738.16.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128349
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '7.a1'], 'contains': ['42.a1', '42.b1', '42.c1', '42.d1', '42.e1', '42.f1'], 'core': '84.a1', 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1, 2, 196, 672], 'label': '1344.8738.21.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '21.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128350
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.d1', '12.e1'], 'contains': ['48.a1', '48.b1', '48.f1', '168.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 672, 32, 112], 'label': '1344.8738.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1'], 'normal_contains': ['48.a1', '48.b1', '168.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128351
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.a1', '12.b1', '12.h1', '12.i1', '12.j1'], 'contains': ['48.a1', '48.c1', '48.d1', '168.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [168, 32, 112, 672], 'label': '1344.8738.24.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.c1', '48.d1', '168.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128352
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.a1', '12.f1', '12.g1'], 'contains': ['48.a1', '48.e1', '168.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [169, 32, 112, 672], 'label': '1344.8738.24.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.a1'], 'normal_contains': ['48.a1', '48.e1', '168.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128353
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '12.a1', '28.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 112, 672, 448, 168, 32], 'label': '1344.8738.4.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '12.a1', '28.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128354
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.a1', '12.c1', '12.l1', '12.n1'], 'contains': ['48.b1', '48.c1', '48.e1', '168.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [673, 32, 112, 168], 'label': '1344.8738.24.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.a1', '12.c1'], 'normal_contains': ['48.b1', '48.c1', '48.e1', '168.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128355
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '12.a1', '12.k1', '12.m1'], 'contains': ['48.b1', '48.d1', '48.e1', '168.e1'], 'core': '24.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 32, 112, 840], 'label': '1344.8738.24.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.a1'], 'normal_contains': ['48.b1', '48.d1', '48.e1', '168.e1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128356
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '12.b1', '12.c1', '12.o1', '12.p1'], 'contains': ['48.c1', '48.i1', '168.l1'], 'core': '24.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 112, 32, 168], 'label': '1344.8738.24.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': ['8.f1', '12.b1', '12.c1'], 'normal_contains': ['48.c1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128357
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.j1', '12.d1'], 'contains': ['48.f1', '48.g1', '48.l1', '168.f1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1, 672, 32, 2], 'label': '1344.8738.24.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1', 'old_label': '24.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128358
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.k1', '12.b1', '12.d1', '12.f1'], 'contains': ['48.a1', '48.g1', '48.i1', '168.g1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 672, 32, 112], 'label': '1344.8738.24.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128359
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1', '12.e1', '12.g1', '12.h1'], 'contains': ['48.a1', '48.h1', '48.j1', '168.h1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [6, 672, 32, 112], 'label': '1344.8738.24.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128360
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1', '12.e1', '12.g1', '12.i1'], 'contains': ['48.a1', '48.k1', '168.i1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [7, 112, 32, 672], 'label': '1344.8738.24.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128361
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.n1', '12.c1', '12.d1', '12.k1'], 'contains': ['48.b1', '48.i1', '48.l1', '168.j1'], 'core': '48.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [673, 112, 32, 2], 'label': '1344.8738.24.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128362
    {'ambient': '1344.8738', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.o1', '12.e1', '12.l1', '12.m1'], 'contains': ['48.b1', '48.j1', '48.k1', '168.k1'], 'core': '48.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [673, 112, 32, 6], 'label': '1344.8738.24.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 74128363
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